2.8 Table of system of ODEs

Table 2.447: System of differential equations

#

ODE

Solved?

540

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=6 x \left (t \right )+3 y \left (t \right ) \end {array}\right ] \]
i.c.

576

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right ) \end {array}\right ] \]

577

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right ) \end {array}\right ] \]

578

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right ) \end {array}\right ] \]
i.c.

579

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=10 y \left (t \right ) \\ y^{\prime }\left (t \right )=-10 x \left (t \right ) \end {array}\right ] \]
i.c.

580

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=\frac {y \left (t \right )}{2} \\ y^{\prime }\left (t \right )=-8 x \left (t \right ) \end {array}\right ] \]

581

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=8 y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right ) \end {array}\right ] \]

582

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right ) \\ y^{\prime }\left (t \right )=6 x \left (t \right )-y \left (t \right ) \end {array}\right ] \]
i.c.

583

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-y \left (t \right ) \\ y^{\prime }\left (t \right )=10 x \left (t \right )-7 y \left (t \right ) \end {array}\right ] \]
i.c.

584

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-y \left (t \right ) \\ y^{\prime }\left (t \right )=13 x \left (t \right )+4 y \left (t \right ) \end {array}\right ] \]
i.c.

585

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right ) \\ y^{\prime }\left (t \right )=-9 x \left (t \right )+6 y \left (t \right ) \end {array}\right ] \]

586

\[ {}\left [\begin {array}{c} 10 x_{1}^{\prime }\left (t \right )=-x_{1} \left (t \right )+x_{3} \left (t \right ) \\ 10 x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-x_{2} \left (t \right ) \\ 10 x_{3}^{\prime }\left (t \right )=x_{2} \left (t \right )-x_{3} \left (t \right ) \end {array}\right ] \]

587

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )+3 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 y \left (t \right ) \end {array}\right ] \]

588

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )-3 y \left (t \right ) \end {array}\right ] \]

589

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-3 x \left (t \right )+4 y \left (t \right ) \end {array}\right ] \]
i.c.

590

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=5 x \left (t \right )-3 y \left (t \right ) \end {array}\right ] \]
i.c.

591

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 x \left (t \right )-4 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

592

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+9 y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )-5 y \left (t \right ) \end {array}\right ] \]
i.c.

593

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 x \left (t \right )+y \left (t \right )+2 t \\ y^{\prime }\left (t \right )=-2 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

594

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+2 y \left (t \right )-{\mathrm e}^{2 t} \end {array}\right ] \]

595

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )-3 y \left (t \right )+2 \sin \left (2 t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right )-\cos \left (2 t \right ) \end {array}\right ] \]

596

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+2 y^{\prime }\left (t \right )=4 x \left (t \right )+5 y \left (t \right ) \\ 2 x^{\prime }\left (t \right )-y^{\prime }\left (t \right )=3 x \left (t \right ) \end {array}\right ] \]
i.c.

597

\[ {}\left [\begin {array}{c} -x^{\prime }\left (t \right )+2 y^{\prime }\left (t \right )=x \left (t \right )+3 y \left (t \right )+{\mathrm e}^{t} \\ 3 x^{\prime }\left (t \right )-4 y^{\prime }\left (t \right )=x \left (t \right )-15 y \left (t \right )+{\mathrm e}^{-t} \end {array}\right ] \]

598

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+2 y \left (t \right )+z \left (t \right ) \\ y^{\prime }\left (t \right )=6 x \left (t \right )-y \left (t \right ) \\ z^{\prime }\left (t \right )=-x \left (t \right )-2 y \left (t \right )-z \left (t \right ) \end {array}\right ] \]

599

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-4 x \left (t \right )+4 y \left (t \right )-2 z \left (t \right ) \\ z^{\prime }\left (t \right )=-4 y \left (t \right )+4 z \left (t \right ) \end {array}\right ] \]

600

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right )+z \left (t \right )+{\mathrm e}^{-t} \\ y^{\prime }\left (t \right )=x \left (t \right )+z \left (t \right ) \\ z^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

601

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right ) \end {array}\right ] \]

602

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

603

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+4 y \left (t \right )+3 \,{\mathrm e}^{t} \\ y^{\prime }\left (t \right )=5 x \left (t \right )-y \left (t \right )-t^{2} \end {array}\right ] \]

604

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right ) t -{\mathrm e}^{t} y \left (t \right )+\cos \left (t \right ) \\ y^{\prime }\left (t \right )={\mathrm e}^{-t} x \left (t \right )+t^{2} y \left (t \right )-\sin \left (t \right ) \end {array}\right ] \]

605

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right )+z \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+z \left (t \right ) \\ z^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

606

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )-3 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right )+2 z \left (t \right ) \\ z^{\prime }\left (t \right )=5 y \left (t \right )-7 z \left (t \right ) \end {array}\right ] \]

607

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )-4 y \left (t \right )+z \left (t \right )+t \\ y^{\prime }\left (t \right )=x \left (t \right )-3 z \left (t \right )+t^{2} \\ z^{\prime }\left (t \right )=6 y \left (t \right )-7 z \left (t \right )+t^{3} \end {array}\right ] \]

608

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right ) t -y \left (t \right )+{\mathrm e}^{t} z \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )+t^{2} y \left (t \right )-z \left (t \right ) \\ z^{\prime }\left (t \right )={\mathrm e}^{-t} x \left (t \right )+3 t y \left (t \right )+t^{3} z \left (t \right ) \end {array}\right ] \]

609

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=3 x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=4 x_{1} \left (t \right ) \end {array}\right ] \]

610

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{2} \left (t \right )+x_{3} \left (t \right )+1 \\ x_{2}^{\prime }\left (t \right )=x_{3} \left (t \right )+x_{4} \left (t \right )+t \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{4} \left (t \right )+t^{2} \\ x_{4}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )+t^{3} \end {array}\right ] \]

611

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )-x_{2} \left (t \right ) \end {array}\right ] \]

612

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )+2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )+4 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

613

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=5 x_{1} \left (t \right )-3 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

614

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

615

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=4 x_{1} \left (t \right )-3 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=6 x_{1} \left (t \right )-7 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

616

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{1} \left (t \right )+3 x_{2} \left (t \right )-2 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-x_{2} \left (t \right )+3 x_{3} \left (t \right ) \end {array}\right ] \]
i.c.

617

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

618

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+2 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=6 x_{1} \left (t \right )-x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-x_{1} \left (t \right )-2 x_{2} \left (t \right )-x_{3} \left (t \right ) \end {array}\right ] \]
i.c.

619

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-8 x_{1} \left (t \right )-11 x_{2} \left (t \right )-2 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=6 x_{1} \left (t \right )+9 x_{2} \left (t \right )+2 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-6 x_{1} \left (t \right )-6 x_{2} \left (t \right )+x_{3} \left (t \right ) \end {array}\right ] \]
i.c.

620

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-4 x_{2} \left (t \right )-2 x_{4} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=6 x_{1} \left (t \right )-12 x_{2} \left (t \right )-x_{3} \left (t \right )-6 x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=-4 x_{2} \left (t \right )-x_{4} \left (t \right ) \end {array}\right ] \]
i.c.

621

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right ) \end {array}\right ] \]

622

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+3 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right ) \end {array}\right ] \]

623

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+4 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+2 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

624

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=6 x_{1} \left (t \right )-x_{2} \left (t \right ) \end {array}\right ] \]

625

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=6 x_{1} \left (t \right )-7 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-2 x_{2} \left (t \right ) \end {array}\right ] \]

626

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=9 x_{1} \left (t \right )+5 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-6 x_{1} \left (t \right )-2 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

627

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )+4 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=6 x_{1} \left (t \right )-5 x_{2} \left (t \right ) \end {array}\right ] \]

628

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-5 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-x_{2} \left (t \right ) \end {array}\right ] \]

629

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-5 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=4 x_{1} \left (t \right )-2 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

630

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )-2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=9 x_{1} \left (t \right )+3 x_{2} \left (t \right ) \end {array}\right ] \]

631

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

632

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-5 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+3 x_{2} \left (t \right ) \end {array}\right ] \]

633

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=5 x_{1} \left (t \right )-9 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-x_{2} \left (t \right ) \end {array}\right ] \]

634

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-4 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+3 x_{2} \left (t \right ) \end {array}\right ] \]

635

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=7 x_{1} \left (t \right )-5 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+3 x_{2} \left (t \right ) \end {array}\right ] \]

636

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-50 x_{1} \left (t \right )+20 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=100 x_{1} \left (t \right )-60 x_{2} \left (t \right ) \end {array}\right ] \]

637

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+x_{2} \left (t \right )+4 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+7 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+x_{2} \left (t \right )+4 x_{3} \left (t \right ) \end {array}\right ] \]

638

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+2 x_{2} \left (t \right )+2 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+7 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right )+7 x_{3} \left (t \right ) \end {array}\right ] \]

639

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+4 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )+4 x_{3} \left (t \right ) \end {array}\right ] \]

640

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=5 x_{1} \left (t \right )+x_{2} \left (t \right )+3 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+7 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+x_{2} \left (t \right )+5 x_{3} \left (t \right ) \end {array}\right ] \]

641

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=5 x_{1} \left (t \right )-6 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-x_{2} \left (t \right )-2 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=4 x_{1} \left (t \right )-2 x_{2} \left (t \right )-4 x_{3} \left (t \right ) \end {array}\right ] \]

642

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+2 x_{2} \left (t \right )+2 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-5 x_{1} \left (t \right )-4 x_{2} \left (t \right )-2 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=5 x_{1} \left (t \right )+5 x_{2} \left (t \right )+3 x_{3} \left (t \right ) \end {array}\right ] \]

643

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-5 x_{1} \left (t \right )-3 x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=5 x_{1} \left (t \right )+5 x_{2} \left (t \right )+3 x_{3} \left (t \right ) \end {array}\right ] \]

644

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-4 x_{1} \left (t \right )-3 x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+4 x_{2} \left (t \right )+2 x_{3} \left (t \right ) \end {array}\right ] \]

645

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=5 x_{1} \left (t \right )+5 x_{2} \left (t \right )+2 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-6 x_{1} \left (t \right )-6 x_{2} \left (t \right )-5 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=6 x_{1} \left (t \right )+6 x_{2} \left (t \right )+5 x_{3} \left (t \right ) \end {array}\right ] \]

646

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=9 x_{1} \left (t \right )-x_{2} \left (t \right )+2 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-9 x_{1} \left (t \right )+4 x_{2} \left (t \right )-x_{3} \left (t \right ) \end {array}\right ] \]
i.c.

647

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+2 x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=3 x_{2} \left (t \right )+3 x_{3} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=4 x_{3} \left (t \right )+4 x_{4} \left (t \right ) \end {array}\right ] \]

648

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+9 x_{4} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+2 x_{2} \left (t \right )-10 x_{4} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-x_{3} \left (t \right )+8 x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=x_{4} \left (t \right ) \end {array}\right ] \]

649

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-21 x_{1} \left (t \right )-5 x_{2} \left (t \right )-27 x_{3} \left (t \right )-9 x_{4} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=5 x_{3} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=-21 x_{3} \left (t \right )-2 x_{4} \left (t \right ) \end {array}\right ] \]

650

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+x_{2} \left (t \right )+x_{3} \left (t \right )+7 x_{4} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+4 x_{2} \left (t \right )+10 x_{3} \left (t \right )+x_{4} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )+10 x_{2} \left (t \right )+4 x_{3} \left (t \right )+x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=7 x_{1} \left (t \right )+x_{2} \left (t \right )+x_{3} \left (t \right )+4 x_{4} \left (t \right ) \end {array}\right ] \]
i.c.

922

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right ) \end {array}\right ] \]

923

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

924

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+4 y \left (t \right )+3 \,{\mathrm e}^{t} \\ y^{\prime }\left (t \right )=5 x \left (t \right )-y \left (t \right )-t^{2} \end {array}\right ] \]

925

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right )+z \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+z \left (t \right ) \\ z^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

926

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=3 x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=4 x_{1} \left (t \right ) \end {array}\right ] \]

927

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{2} \left (t \right )+x_{3} \left (t \right )+1 \\ x_{2}^{\prime }\left (t \right )=x_{3} \left (t \right )+x_{4} \left (t \right )+t \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{4} \left (t \right )+t^{2} \\ x_{4}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )+t^{3} \end {array}\right ] \]

963

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=6 x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )-x_{2} \left (t \right ) \end {array}\right ] \]

964

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )+2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )+4 x_{2} \left (t \right ) \end {array}\right ] \]

965

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right ) \end {array}\right ] \]

966

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+3 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right ) \end {array}\right ] \]

967

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+4 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+2 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

968

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=6 x_{1} \left (t \right )-x_{2} \left (t \right ) \end {array}\right ] \]

969

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=6 x_{1} \left (t \right )-7 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-2 x_{2} \left (t \right ) \end {array}\right ] \]

970

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=9 x_{1} \left (t \right )+5 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-6 x_{1} \left (t \right )-2 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

971

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )+4 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=6 x_{1} \left (t \right )-5 x_{2} \left (t \right ) \end {array}\right ] \]

972

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-5 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-x_{2} \left (t \right ) \end {array}\right ] \]

973

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-5 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=4 x_{1} \left (t \right )-2 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

974

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )-2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=9 x_{1} \left (t \right )+3 x_{2} \left (t \right ) \end {array}\right ] \]

975

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

976

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-5 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+3 x_{2} \left (t \right ) \end {array}\right ] \]

977

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=5 x_{1} \left (t \right )-9 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-x_{2} \left (t \right ) \end {array}\right ] \]

978

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-4 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+3 x_{2} \left (t \right ) \end {array}\right ] \]

979

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=7 x_{1} \left (t \right )-5 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+3 x_{2} \left (t \right ) \end {array}\right ] \]

980

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-50 x_{1} \left (t \right )+20 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=100 x_{1} \left (t \right )-60 x_{2} \left (t \right ) \end {array}\right ] \]

981

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+x_{2} \left (t \right )+4 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+7 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+x_{2} \left (t \right )+4 x_{3} \left (t \right ) \end {array}\right ] \]

982

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+2 x_{2} \left (t \right )+2 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+7 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right )+7 x_{3} \left (t \right ) \end {array}\right ] \]

983

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+4 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )+4 x_{3} \left (t \right ) \end {array}\right ] \]

984

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=5 x_{1} \left (t \right )+x_{2} \left (t \right )+3 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+7 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+x_{2} \left (t \right )+5 x_{3} \left (t \right ) \end {array}\right ] \]

985

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=5 x_{1} \left (t \right )-6 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-x_{2} \left (t \right )-2 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=4 x_{1} \left (t \right )-2 x_{2} \left (t \right )-4 x_{3} \left (t \right ) \end {array}\right ] \]

986

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+2 x_{2} \left (t \right )+2 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-5 x_{1} \left (t \right )-4 x_{2} \left (t \right )-2 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=5 x_{1} \left (t \right )+5 x_{2} \left (t \right )+3 x_{3} \left (t \right ) \end {array}\right ] \]

987

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-5 x_{1} \left (t \right )-3 x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=5 x_{1} \left (t \right )+5 x_{2} \left (t \right )+3 x_{3} \left (t \right ) \end {array}\right ] \]

988

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-4 x_{1} \left (t \right )-3 x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+4 x_{2} \left (t \right )+2 x_{3} \left (t \right ) \end {array}\right ] \]

989

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=5 x_{1} \left (t \right )+5 x_{2} \left (t \right )+2 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-6 x_{1} \left (t \right )-6 x_{2} \left (t \right )-5 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=6 x_{1} \left (t \right )+6 x_{2} \left (t \right )+5 x_{3} \left (t \right ) \end {array}\right ] \]

990

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=9 x_{1} \left (t \right )-x_{2} \left (t \right )+2 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-9 x_{1} \left (t \right )+4 x_{2} \left (t \right )-x_{3} \left (t \right ) \end {array}\right ] \]
i.c.

991

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+2 x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=3 x_{2} \left (t \right )+3 x_{3} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=4 x_{3} \left (t \right )+4 x_{4} \left (t \right ) \end {array}\right ] \]

992

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+9 x_{4} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+2 x_{2} \left (t \right )-10 x_{4} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-x_{3} \left (t \right )+8 x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=x_{4} \left (t \right ) \end {array}\right ] \]

993

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-21 x_{1} \left (t \right )-5 x_{2} \left (t \right )-27 x_{3} \left (t \right )-9 x_{4} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=5 x_{3} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=-21 x_{3} \left (t \right )-2 x_{4} \left (t \right ) \end {array}\right ] \]

994

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+x_{2} \left (t \right )+x_{3} \left (t \right )+7 x_{4} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+4 x_{2} \left (t \right )+10 x_{3} \left (t \right )+x_{4} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )+10 x_{2} \left (t \right )+4 x_{3} \left (t \right )+x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=7 x_{1} \left (t \right )+x_{2} \left (t \right )+x_{3} \left (t \right )+4 x_{4} \left (t \right ) \end {array}\right ] \]
i.c.

995

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-40 x_{1} \left (t \right )-12 x_{2} \left (t \right )+54 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=35 x_{1} \left (t \right )+13 x_{2} \left (t \right )-46 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-25 x_{1} \left (t \right )-7 x_{2} \left (t \right )+34 x_{3} \left (t \right ) \end {array}\right ] \]

996

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-20 x_{1} \left (t \right )+11 x_{2} \left (t \right )+13 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=12 x_{1} \left (t \right )-x_{2} \left (t \right )-7 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-48 x_{1} \left (t \right )+21 x_{2} \left (t \right )+31 x_{3} \left (t \right ) \end {array}\right ] \]

997

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=147 x_{1} \left (t \right )+23 x_{2} \left (t \right )-202 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-90 x_{1} \left (t \right )-9 x_{2} \left (t \right )+129 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=90 x_{1} \left (t \right )+15 x_{2} \left (t \right )-123 x_{3} \left (t \right ) \end {array}\right ] \]

998

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=9 x_{1} \left (t \right )-7 x_{2} \left (t \right )-5 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-12 x_{1} \left (t \right )+7 x_{2} \left (t \right )+11 x_{3} \left (t \right )+9 x_{4} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=24 x_{1} \left (t \right )-17 x_{2} \left (t \right )-19 x_{3} \left (t \right )-9 x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=-18 x_{1} \left (t \right )+13 x_{2} \left (t \right )+17 x_{3} \left (t \right )+9 x_{4} \left (t \right ) \end {array}\right ] \]

999

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=13 x_{1} \left (t \right )-42 x_{2} \left (t \right )+106 x_{3} \left (t \right )+139 x_{4} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-16 x_{2} \left (t \right )+52 x_{3} \left (t \right )+70 x_{4} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )+6 x_{2} \left (t \right )-20 x_{3} \left (t \right )-31 x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=-x_{1} \left (t \right )-6 x_{2} \left (t \right )+22 x_{3} \left (t \right )+33 x_{4} \left (t \right ) \end {array}\right ] \]

1000

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=23 x_{1} \left (t \right )-18 x_{2} \left (t \right )-16 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-8 x_{1} \left (t \right )+6 x_{2} \left (t \right )+7 x_{3} \left (t \right )+9 x_{4} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=34 x_{1} \left (t \right )-27 x_{2} \left (t \right )-26 x_{3} \left (t \right )-9 x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=-26 x_{1} \left (t \right )+21 x_{2} \left (t \right )+25 x_{3} \left (t \right )+12 x_{4} \left (t \right ) \end {array}\right ] \]

1001

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=47 x_{1} \left (t \right )-8 x_{2} \left (t \right )+5 x_{3} \left (t \right )-5 x_{4} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-10 x_{1} \left (t \right )+32 x_{2} \left (t \right )+18 x_{3} \left (t \right )-2 x_{4} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=139 x_{1} \left (t \right )-40 x_{2} \left (t \right )-167 x_{3} \left (t \right )-121 x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=-232 x_{1} \left (t \right )+64 x_{2} \left (t \right )+360 x_{3} \left (t \right )+248 x_{4} \left (t \right ) \end {array}\right ] \]

1002

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=139 x_{1} \left (t \right )-14 x_{2} \left (t \right )-52 x_{3} \left (t \right )-14 x_{4} \left (t \right )+28 x_{5} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-22 x_{1} \left (t \right )+5 x_{2} \left (t \right )+7 x_{3} \left (t \right )+8 x_{4} \left (t \right )-7 x_{5} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=370 x_{1} \left (t \right )-38 x_{2} \left (t \right )-139 x_{3} \left (t \right )-38 x_{4} \left (t \right )+76 x_{5} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=152 x_{1} \left (t \right )-16 x_{2} \left (t \right )-59 x_{3} \left (t \right )-13 x_{4} \left (t \right )+35 x_{5} \left (t \right ) \\ x_{5}^{\prime }\left (t \right )=95 x_{1} \left (t \right )-10 x_{2} \left (t \right )-38 x_{3} \left (t \right )-7 x_{4} \left (t \right )+23 x_{5} \left (t \right ) \end {array}\right ] \]

1003

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=9 x_{1} \left (t \right )+13 x_{2} \left (t \right )-13 x_{6} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-14 x_{1} \left (t \right )+19 x_{2} \left (t \right )-10 x_{3} \left (t \right )-20 x_{4} \left (t \right )+10 x_{5} \left (t \right )+4 x_{6} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-30 x_{1} \left (t \right )+12 x_{2} \left (t \right )-7 x_{3} \left (t \right )-30 x_{4} \left (t \right )+12 x_{5} \left (t \right )+18 x_{6} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=-12 x_{1} \left (t \right )+10 x_{2} \left (t \right )-10 x_{3} \left (t \right )-9 x_{4} \left (t \right )+10 x_{5} \left (t \right )+2 x_{6} \left (t \right ) \\ x_{5}^{\prime }\left (t \right )=6 x_{1} \left (t \right )+9 x_{2} \left (t \right )+6 x_{4} \left (t \right )+5 x_{5} \left (t \right )-15 x_{6} \left (t \right ) \\ x_{6}^{\prime }\left (t \right )=-14 x_{1} \left (t \right )+23 x_{2} \left (t \right )-10 x_{3} \left (t \right )-20 x_{4} \left (t \right )+10 x_{5} \left (t \right ) \end {array}\right ] \]

1004

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=9 x_{1} \left (t \right )+4 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-6 x_{1} \left (t \right )-x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=6 x_{1} \left (t \right )+4 x_{2} \left (t \right )+3 x_{3} \left (t \right ) \end {array}\right ] \]

1005

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-3 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+7 x_{2} \left (t \right ) \end {array}\right ] \]

1006

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{2} \left (t \right )+2 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-5 x_{1} \left (t \right )-3 x_{2} \left (t \right )-7 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right ) \end {array}\right ] \]

1007

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{4} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+2 x_{2} \left (t \right )-3 x_{3} \left (t \right )+x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-2 x_{2} \left (t \right )+x_{3} \left (t \right )-3 x_{4} \left (t \right ) \end {array}\right ] \]

1008

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{1} \left (t \right )-4 x_{2} \left (t \right ) \end {array}\right ] \]

1009

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right ) \end {array}\right ] \]

1010

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+5 x_{2} \left (t \right ) \end {array}\right ] \]

1011

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+5 x_{2} \left (t \right ) \end {array}\right ] \]

1012

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=7 x_{1} \left (t \right )+x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-4 x_{1} \left (t \right )+3 x_{2} \left (t \right ) \end {array}\right ] \]

1013

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-4 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+9 x_{2} \left (t \right ) \end {array}\right ] \]

1014

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-7 x_{1} \left (t \right )+9 x_{2} \left (t \right )+7 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{3} \left (t \right ) \end {array}\right ] \]

1015

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=25 x_{1} \left (t \right )+12 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-18 x_{1} \left (t \right )-5 x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=6 x_{1} \left (t \right )+6 x_{2} \left (t \right )+13 x_{3} \left (t \right ) \end {array}\right ] \]

1016

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-19 x_{1} \left (t \right )+12 x_{2} \left (t \right )+84 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=5 x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-8 x_{1} \left (t \right )+4 x_{2} \left (t \right )+33 x_{3} \left (t \right ) \end {array}\right ] \]

1017

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-13 x_{1} \left (t \right )+40 x_{2} \left (t \right )-48 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-8 x_{1} \left (t \right )+23 x_{2} \left (t \right )-24 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=3 x_{3} \left (t \right ) \end {array}\right ] \]

1018

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )-4 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{1} \left (t \right )-x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{3} \left (t \right ) \end {array}\right ] \]

1019

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{1} \left (t \right )+x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )-x_{2} \left (t \right )-x_{3} \left (t \right ) \end {array}\right ] \]

1020

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{1} \left (t \right )+x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{2} \left (t \right )-4 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{2} \left (t \right )-3 x_{3} \left (t \right ) \end {array}\right ] \]

1021

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-5 x_{1} \left (t \right )-x_{2} \left (t \right )-5 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+x_{2} \left (t \right )-2 x_{3} \left (t \right ) \end {array}\right ] \]

1022

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )-9 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+4 x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )+3 x_{2} \left (t \right )+x_{3} \left (t \right ) \end {array}\right ] \]

1023

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )-2 x_{2} \left (t \right )-3 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+3 x_{2} \left (t \right )+4 x_{3} \left (t \right ) \end {array}\right ] \]

1024

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=18 x_{1} \left (t \right )+7 x_{2} \left (t \right )+4 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-27 x_{1} \left (t \right )-9 x_{2} \left (t \right )-5 x_{3} \left (t \right ) \end {array}\right ] \]

1025

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+3 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )-4 x_{2} \left (t \right )-x_{3} \left (t \right ) \end {array}\right ] \]

1026

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-4 x_{2} \left (t \right )-2 x_{4} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=6 x_{1} \left (t \right )-12 x_{2} \left (t \right )-x_{3} \left (t \right )-6 x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=-4 x_{2} \left (t \right )-x_{4} \left (t \right ) \end {array}\right ] \]

1027

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right )+x_{4} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{3} \left (t \right )+x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=2 x_{4} \left (t \right ) \end {array}\right ] \]

1028

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{1} \left (t \right )-4 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+3 x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )+2 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=x_{2} \left (t \right )+x_{4} \left (t \right ) \end {array}\right ] \]

1029

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+3 x_{2} \left (t \right )+7 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{2} \left (t \right )-4 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{2} \left (t \right )+3 x_{3} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=-6 x_{2} \left (t \right )-14 x_{3} \left (t \right )+x_{4} \left (t \right ) \end {array}\right ] \]

1030

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=39 x_{1} \left (t \right )+8 x_{2} \left (t \right )-16 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-36 x_{1} \left (t \right )-5 x_{2} \left (t \right )+16 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=72 x_{1} \left (t \right )+16 x_{2} \left (t \right )-29 x_{3} \left (t \right ) \end {array}\right ] \]

1031

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=28 x_{1} \left (t \right )+50 x_{2} \left (t \right )+100 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=15 x_{1} \left (t \right )+33 x_{2} \left (t \right )+60 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-15 x_{1} \left (t \right )-30 x_{2} \left (t \right )-57 x_{3} \left (t \right ) \end {array}\right ] \]

1032

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+17 x_{2} \left (t \right )+4 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{1} \left (t \right )+6 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{2} \left (t \right )+2 x_{3} \left (t \right ) \end {array}\right ] \]

1033

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=5 x_{1} \left (t \right )-x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+3 x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )+2 x_{2} \left (t \right )+x_{3} \left (t \right ) \end {array}\right ] \]

1034

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )+5 x_{2} \left (t \right )-5 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-x_{2} \left (t \right )+3 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=8 x_{1} \left (t \right )-8 x_{2} \left (t \right )+10 x_{3} \left (t \right ) \end {array}\right ] \]

1035

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-15 x_{1} \left (t \right )-7 x_{2} \left (t \right )+4 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=34 x_{1} \left (t \right )+16 x_{2} \left (t \right )-11 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=17 x_{1} \left (t \right )+7 x_{2} \left (t \right )+5 x_{3} \left (t \right ) \end {array}\right ] \]

1036

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{1} \left (t \right )+x_{2} \left (t \right )+x_{3} \left (t \right )-2 x_{4} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=7 x_{1} \left (t \right )-4 x_{2} \left (t \right )-6 x_{3} \left (t \right )+11 x_{4} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=5 x_{1} \left (t \right )-x_{2} \left (t \right )+x_{3} \left (t \right )+3 x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=6 x_{1} \left (t \right )-2 x_{2} \left (t \right )-2 x_{3} \left (t \right )+6 x_{4} \left (t \right ) \end {array}\right ] \]

1037

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right )-2 x_{3} \left (t \right )+x_{4} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=3 x_{2} \left (t \right )-5 x_{3} \left (t \right )+3 x_{4} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-13 x_{2} \left (t \right )+22 x_{3} \left (t \right )-12 x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=-27 x_{2} \left (t \right )+45 x_{3} \left (t \right )-25 x_{4} \left (t \right ) \end {array}\right ] \]

1038

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=35 x_{1} \left (t \right )-12 x_{2} \left (t \right )+4 x_{3} \left (t \right )+30 x_{4} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=22 x_{1} \left (t \right )-8 x_{2} \left (t \right )+3 x_{3} \left (t \right )+19 x_{4} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-10 x_{1} \left (t \right )+3 x_{2} \left (t \right )-9 x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=-27 x_{1} \left (t \right )+9 x_{2} \left (t \right )-3 x_{3} \left (t \right )-23 x_{4} \left (t \right ) \end {array}\right ] \]

1039

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=11 x_{1} \left (t \right )-x_{2} \left (t \right )+26 x_{3} \left (t \right )+6 x_{4} \left (t \right )-3 x_{5} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=3 x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-9 x_{1} \left (t \right )-24 x_{3} \left (t \right )-6 x_{4} \left (t \right )+3 x_{5} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+9 x_{3} \left (t \right )+5 x_{4} \left (t \right )-x_{5} \left (t \right ) \\ x_{5}^{\prime }\left (t \right )=-48 x_{1} \left (t \right )-3 x_{2} \left (t \right )-138 x_{3} \left (t \right )-30 x_{4} \left (t \right )+18 x_{5} \left (t \right ) \end {array}\right ] \]

1040

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-4 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+3 x_{2} \left (t \right )+x_{4} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=3 x_{3} \left (t \right )-4 x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=4 x_{3} \left (t \right )+3 x_{4} \left (t \right ) \end {array}\right ] \]

1041

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-8 x_{3} \left (t \right )-3 x_{4} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-18 x_{1} \left (t \right )-x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-9 x_{1} \left (t \right )-3 x_{2} \left (t \right )-25 x_{3} \left (t \right )-9 x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=33 x_{1} \left (t \right )+10 x_{2} \left (t \right )+90 x_{3} \left (t \right )+32 x_{4} \left (t \right ) \end {array}\right ] \]

1400

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-\frac {x_{1} \left (t \right )}{10}+\frac {3 x_{2} \left (t \right )}{40} \\ x_{2}^{\prime }\left (t \right )=\frac {x_{1} \left (t \right )}{10}-\frac {x_{2} \left (t \right )}{5} \end {array}\right ] \]
i.c.

1401

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=4 x_{1} \left (t \right )-x_{2} \left (t \right ) \end {array}\right ] \]

1402

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{1} \left (t \right )-4 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-x_{2} \left (t \right ) \end {array}\right ] \]

1403

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-5 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-2 x_{2} \left (t \right ) \end {array}\right ] \]

1404

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-\frac {5 x_{2} \left (t \right )}{2} \\ x_{2}^{\prime }\left (t \right )=\frac {9 x_{1} \left (t \right )}{5}-x_{2} \left (t \right ) \end {array}\right ] \]

1405

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=5 x_{1} \left (t \right )-3 x_{2} \left (t \right ) \end {array}\right ] \]

1406

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-5 x_{1} \left (t \right )-x_{2} \left (t \right ) \end {array}\right ] \]

1407

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right )-2 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+2 x_{2} \left (t \right )+x_{3} \left (t \right ) \end {array}\right ] \]

1408

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )+2 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )-x_{2} \left (t \right ) \end {array}\right ] \]

1409

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-5 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-3 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

1410

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )+2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{1} \left (t \right )-x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

1411

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=\frac {3 x_{1} \left (t \right )}{4}-2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-\frac {5 x_{2} \left (t \right )}{4} \end {array}\right ] \]

1412

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-\frac {4 x_{1} \left (t \right )}{5}+2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{1} \left (t \right )+\frac {6 x_{2} \left (t \right )}{5} \end {array}\right ] \]

1413

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-\frac {x_{1} \left (t \right )}{4}+x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{1} \left (t \right )-\frac {x_{2} \left (t \right )}{4} \\ x_{3}^{\prime }\left (t \right )=-\frac {x_{3} \left (t \right )}{4} \end {array}\right ] \]

1414

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-\frac {x_{1} \left (t \right )}{4}+x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{1} \left (t \right )-\frac {x_{2} \left (t \right )}{4} \\ x_{3}^{\prime }\left (t \right )=\frac {x_{3} \left (t \right )}{10} \end {array}\right ] \]

1415

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-\frac {x_{1} \left (t \right )}{2}-\frac {x_{2} \left (t \right )}{8} \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-\frac {x_{2} \left (t \right )}{2} \end {array}\right ] \]

1416

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-4 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-x_{2} \left (t \right ) \end {array}\right ] \]

1417

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=4 x_{1} \left (t \right )-2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=8 x_{1} \left (t \right )-4 x_{2} \left (t \right ) \end {array}\right ] \]

1418

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-\frac {3 x_{1} \left (t \right )}{2}+x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-\frac {x_{1} \left (t \right )}{4}-\frac {x_{2} \left (t \right )}{2} \end {array}\right ] \]

1419

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )+\frac {5 x_{2} \left (t \right )}{2} \\ x_{2}^{\prime }\left (t \right )=-\frac {5 x_{1} \left (t \right )}{2}+2 x_{2} \left (t \right ) \end {array}\right ] \]

1420

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-x_{2} \left (t \right )+x_{3} \left (t \right ) \end {array}\right ] \]

1421

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right ) \end {array}\right ] \]

1422

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-4 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=4 x_{1} \left (t \right )-7 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

1423

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-\frac {5 x_{1} \left (t \right )}{2}+\frac {3 x_{2} \left (t \right )}{2} \\ x_{2}^{\prime }\left (t \right )=-\frac {3 x_{1} \left (t \right )}{2}+\frac {x_{2} \left (t \right )}{2} \end {array}\right ] \]
i.c.

1424

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+\frac {3 x_{2} \left (t \right )}{2} \\ x_{2}^{\prime }\left (t \right )=-\frac {3 x_{1} \left (t \right )}{2}-x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

1425

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+9 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{1} \left (t \right )-3 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

1426

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-4 x_{1} \left (t \right )+x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+6 x_{2} \left (t \right )+2 x_{3} \left (t \right ) \end {array}\right ] \]
i.c.

1427

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-\frac {5 x_{1} \left (t \right )}{2}+x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-\frac {5 x_{2} \left (t \right )}{2}+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )-\frac {5 x_{3} \left (t \right )}{2} \end {array}\right ] \]
i.c.

1428

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-x_{2} \left (t \right )+{\mathrm e}^{t} \\ x_{2}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-2 x_{2} \left (t \right )+t \end {array}\right ] \]

1429

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+\sqrt {3}\, x_{2} \left (t \right )+{\mathrm e}^{t} \\ x_{2}^{\prime }\left (t \right )=\sqrt {3}\, x_{1} \left (t \right )-x_{2} \left (t \right )+\sqrt {3}\, {\mathrm e}^{-t} \end {array}\right ] \]

1430

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-5 x_{2} \left (t \right )-\cos \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-2 x_{2} \left (t \right )+\sin \left (t \right ) \end {array}\right ] \]

1431

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )+{\mathrm e}^{-2 t} \\ x_{2}^{\prime }\left (t \right )=4 x_{1} \left (t \right )-2 x_{2} \left (t \right )-2 \,{\mathrm e}^{t} \end {array}\right ] \]

1432

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=4 x_{1} \left (t \right )-2 x_{2} \left (t \right )+\frac {1}{t^{3}} \\ x_{2}^{\prime }\left (t \right )=8 x_{1} \left (t \right )-4 x_{2} \left (t \right )-\frac {1}{t^{2}} \end {array}\right ] \]

1433

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-4 x_{1} \left (t \right )+2 x_{2} \left (t \right )+\frac {1}{t} \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-x_{2} \left (t \right )+\frac {2}{t}+4 \end {array}\right ] \]

1434

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )+2 \,{\mathrm e}^{t} \\ x_{2}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+x_{2} \left (t \right )-{\mathrm e}^{t} \end {array}\right ] \]

1435

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-x_{2} \left (t \right )+{\mathrm e}^{t} \\ x_{2}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-2 x_{2} \left (t \right )-{\mathrm e}^{t} \end {array}\right ] \]

1436

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-\frac {5 x_{1} \left (t \right )}{4}+\frac {3 x_{2} \left (t \right )}{4}+2 t \\ x_{2}^{\prime }\left (t \right )=\frac {3 x_{1} \left (t \right )}{4}-\frac {5 x_{2} \left (t \right )}{4}+{\mathrm e}^{t} \end {array}\right ] \]

1437

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )+\sqrt {2}\, x_{2} \left (t \right )+{\mathrm e}^{-t} \\ x_{2}^{\prime }\left (t \right )=\sqrt {2}\, x_{1} \left (t \right )-2 x_{2} \left (t \right )-{\mathrm e}^{-t} \end {array}\right ] \]

1438

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-5 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-2 x_{2} \left (t \right )+\cos \left (t \right ) \end {array}\right ] \]

1439

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-5 x_{2} \left (t \right )+\csc \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-2 x_{2} \left (t \right )+\sec \left (t \right ) \end {array}\right ] \]

1440

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-\frac {x_{1} \left (t \right )}{2}-\frac {x_{2} \left (t \right )}{8}+\frac {{\mathrm e}^{-\frac {t}{2}}}{2} \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-\frac {x_{2} \left (t \right )}{2} \end {array}\right ] \]

1441

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+x_{2} \left (t \right )+2 \,{\mathrm e}^{-t} \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-2 x_{2} \left (t \right )+3 t \end {array}\right ] \]
i.c.

1442

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-2 x_{2} \left (t \right ) \end {array}\right ] \]

1443

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=5 x_{1} \left (t \right )-x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+x_{2} \left (t \right ) \end {array}\right ] \]

1444

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-2 x_{2} \left (t \right ) \end {array}\right ] \]

1445

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-4 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=4 x_{1} \left (t \right )-7 x_{2} \left (t \right ) \end {array}\right ] \]

1446

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-5 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-3 x_{2} \left (t \right ) \end {array}\right ] \]

1447

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-5 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-2 x_{2} \left (t \right ) \end {array}\right ] \]

1448

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=4 x_{1} \left (t \right )-x_{2} \left (t \right ) \end {array}\right ] \]

1449

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{1} \left (t \right )-x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-\frac {5 x_{2} \left (t \right )}{2} \end {array}\right ] \]

1450

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-4 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-x_{2} \left (t \right ) \end {array}\right ] \]

1451

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-5 x_{1} \left (t \right ) \end {array}\right ] \]

1452

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{2} \left (t \right ) \end {array}\right ] \]

1453

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-\frac {5 x_{2} \left (t \right )}{2} \\ x_{2}^{\prime }\left (t \right )=\frac {9 x_{1} \left (t \right )}{5}-x_{2} \left (t \right ) \end {array}\right ] \]

1454

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )-2 \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-x_{2} \left (t \right ) \end {array}\right ] \]

1455

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+x_{2} \left (t \right )-2 \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-2 x_{2} \left (t \right )+1 \end {array}\right ] \]

1456

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{1} \left (t \right )-x_{2} \left (t \right )-1 \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-x_{2} \left (t \right )+5 \end {array}\right ] \]

1457

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right ) \\ y^{\prime }\left (t \right )=-2 y \left (t \right ) \end {array}\right ] \]
i.c.

1458

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right ) \\ y^{\prime }\left (t \right )=2 y \left (t \right ) \end {array}\right ] \]
i.c.

1459

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right ) \\ y^{\prime }\left (t \right )=2 y \left (t \right ) \end {array}\right ] \]
i.c.

1460

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right ) \end {array}\right ] \]
i.c.

1461

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right ) \end {array}\right ] \]
i.c.

2239

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=y_{1} \left (t \right )+2 y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=2 y_{1} \left (t \right )+y_{2} \left (t \right ) \end {array}\right ] \]

2240

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-\frac {5 y_{1} \left (t \right )}{4}+\frac {3 y_{2} \left (t \right )}{4} \\ y_{2}^{\prime }\left (t \right )=\frac {3 y_{1} \left (t \right )}{4}-\frac {5 y_{2} \left (t \right )}{4} \end {array}\right ] \]

2241

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-\frac {4 y_{1} \left (t \right )}{5}+\frac {3 y_{2} \left (t \right )}{5} \\ y_{2}^{\prime }\left (t \right )=-\frac {2 y_{1} \left (t \right )}{5}-\frac {11 y_{2} \left (t \right )}{5} \end {array}\right ] \]

2242

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-y_{1} \left (t \right )-4 y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=-y_{1} \left (t \right )-y_{2} \left (t \right ) \end {array}\right ] \]

2243

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=2 y_{1} \left (t \right )-4 y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=-y_{1} \left (t \right )-y_{2} \left (t \right ) \end {array}\right ] \]

2244

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=4 y_{1} \left (t \right )-3 y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=2 y_{1} \left (t \right )-y_{2} \left (t \right ) \end {array}\right ] \]

2245

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-6 y_{1} \left (t \right )-3 y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=y_{1} \left (t \right )-2 y_{2} \left (t \right ) \end {array}\right ] \]

2246

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=y_{1} \left (t \right )-y_{2} \left (t \right )-2 y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=y_{1} \left (t \right )-2 y_{2} \left (t \right )-3 y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=-4 y_{1} \left (t \right )+y_{2} \left (t \right )-y_{3} \left (t \right ) \end {array}\right ] \]

2247

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-6 y_{1} \left (t \right )-4 y_{2} \left (t \right )-8 y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=-4 y_{1} \left (t \right )-4 y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=-8 y_{1} \left (t \right )-4 y_{2} \left (t \right )-6 y_{3} \left (t \right ) \end {array}\right ] \]

2248

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=3 y_{1} \left (t \right )+5 y_{2} \left (t \right )+8 y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=y_{1} \left (t \right )-y_{2} \left (t \right )-2 y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=-y_{1} \left (t \right )-y_{2} \left (t \right )-y_{3} \left (t \right ) \end {array}\right ] \]

2249

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=y_{1} \left (t \right )-y_{2} \left (t \right )+2 y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=12 y_{1} \left (t \right )-4 y_{2} \left (t \right )+10 y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=-6 y_{1} \left (t \right )+y_{2} \left (t \right )-7 y_{3} \left (t \right ) \end {array}\right ] \]

2250

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=4 y_{1} \left (t \right )-y_{2} \left (t \right )-4 y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=4 y_{1} \left (t \right )-3 y_{2} \left (t \right )-2 y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=y_{1} \left (t \right )-y_{2} \left (t \right )-y_{3} \left (t \right ) \end {array}\right ] \]

2251

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-2 y_{1} \left (t \right )+2 y_{2} \left (t \right )-6 y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=2 y_{1} \left (t \right )+6 y_{2} \left (t \right )+2 y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=-2 y_{1} \left (t \right )-2 y_{2} \left (t \right )+2 y_{3} \left (t \right ) \end {array}\right ] \]

2252

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=3 y_{1} \left (t \right )+2 y_{2} \left (t \right )-2 y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=-2 y_{1} \left (t \right )+7 y_{2} \left (t \right )-2 y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=-10 y_{1} \left (t \right )+10 y_{2} \left (t \right )-5 y_{3} \left (t \right ) \end {array}\right ] \]

2253

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=3 y_{1} \left (t \right )+y_{2} \left (t \right )-y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=3 y_{1} \left (t \right )+5 y_{2} \left (t \right )+y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=-6 y_{1} \left (t \right )+2 y_{2} \left (t \right )+4 y_{3} \left (t \right ) \end {array}\right ] \]

2254

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=3 y_{1} \left (t \right )+4 y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=-y_{1} \left (t \right )+7 y_{2} \left (t \right ) \end {array}\right ] \]

2255

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=y_{1} \left (t \right )-2 y_{2} \left (t \right ) \end {array}\right ] \]

2256

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-7 y_{1} \left (t \right )+4 y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=-y_{1} \left (t \right )-11 y_{2} \left (t \right ) \end {array}\right ] \]

2257

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=3 y_{1} \left (t \right )+y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=-y_{1} \left (t \right )+y_{2} \left (t \right ) \end {array}\right ] \]

2258

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=4 y_{1} \left (t \right )+12 y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=-3 y_{1} \left (t \right )-8 y_{2} \left (t \right ) \end {array}\right ] \]

2259

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-10 y_{1} \left (t \right )+9 y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=-4 y_{1} \left (t \right )+2 y_{2} \left (t \right ) \end {array}\right ] \]

2260

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-13 y_{1} \left (t \right )+16 y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=-9 y_{1} \left (t \right )+11 y_{2} \left (t \right ) \end {array}\right ] \]

2261

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=2 y_{2} \left (t \right )+y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=-4 y_{1} \left (t \right )+6 y_{2} \left (t \right )+y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=4 y_{2} \left (t \right )+2 y_{3} \left (t \right ) \end {array}\right ] \]

2262

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=\frac {y_{1} \left (t \right )}{3}+\frac {y_{2} \left (t \right )}{3}-y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=-\frac {4 y_{1} \left (t \right )}{3}-\frac {4 y_{2} \left (t \right )}{3}+y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=-\frac {2 y_{1} \left (t \right )}{3}+\frac {y_{2} \left (t \right )}{3} \end {array}\right ] \]

2263

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-y_{1} \left (t \right )+y_{2} \left (t \right )-y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=-2 y_{1} \left (t \right )+2 y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=-y_{1} \left (t \right )+3 y_{2} \left (t \right )-y_{3} \left (t \right ) \end {array}\right ] \]

2264

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=4 y_{1} \left (t \right )-2 y_{2} \left (t \right )-2 y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=-2 y_{1} \left (t \right )+3 y_{2} \left (t \right )-y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=2 y_{1} \left (t \right )-y_{2} \left (t \right )+3 y_{3} \left (t \right ) \end {array}\right ] \]

2265

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=6 y_{1} \left (t \right )-5 y_{2} \left (t \right )+3 y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=2 y_{1} \left (t \right )-y_{2} \left (t \right )+3 y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=2 y_{1} \left (t \right )+y_{2} \left (t \right )+y_{3} \left (t \right ) \end {array}\right ] \]

2266

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-11 y_{1} \left (t \right )+8 y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=-2 y_{1} \left (t \right )-3 y_{2} \left (t \right ) \end {array}\right ] \]
i.c.

2267

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=15 y_{1} \left (t \right )-9 y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=16 y_{1} \left (t \right )-9 y_{2} \left (t \right ) \end {array}\right ] \]
i.c.

2268

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-3 y_{1} \left (t \right )-4 y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=y_{1} \left (t \right )-7 y_{2} \left (t \right ) \end {array}\right ] \]
i.c.

2269

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-7 y_{1} \left (t \right )+24 y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=-6 y_{1} \left (t \right )+17 y_{2} \left (t \right ) \end {array}\right ] \]
i.c.

2270

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-7 y_{1} \left (t \right )+3 y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=-3 y_{1} \left (t \right )-y_{2} \left (t \right ) \end {array}\right ] \]
i.c.

2271

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-y_{1} \left (t \right )+y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=y_{1} \left (t \right )-y_{2} \left (t \right )-2 y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=-y_{1} \left (t \right )-y_{2} \left (t \right )-y_{3} \left (t \right ) \end {array}\right ] \]
i.c.

2272

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-2 y_{1} \left (t \right )+2 y_{2} \left (t \right )+y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=-2 y_{1} \left (t \right )+2 y_{2} \left (t \right )+y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=-3 y_{1} \left (t \right )+3 y_{2} \left (t \right )+2 y_{3} \left (t \right ) \end {array}\right ] \]
i.c.

2273

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-7 y_{1} \left (t \right )-4 y_{2} \left (t \right )+4 y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=y_{1} \left (t \right )+y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=-9 y_{1} \left (t \right )-5 y_{2} \left (t \right )+6 y_{3} \left (t \right ) \end {array}\right ] \]
i.c.

2274

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-y_{1} \left (t \right )-4 y_{2} \left (t \right )-y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=3 y_{1} \left (t \right )+6 y_{2} \left (t \right )+y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=-3 y_{1} \left (t \right )-2 y_{2} \left (t \right )+3 y_{3} \left (t \right ) \end {array}\right ] \]
i.c.

2275

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=4 y_{1} \left (t \right )-8 y_{2} \left (t \right )-4 y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=-3 y_{1} \left (t \right )-y_{2} \left (t \right )-4 y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=y_{1} \left (t \right )-y_{2} \left (t \right )+9 y_{3} \left (t \right ) \end {array}\right ] \]
i.c.

2276

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-5 y_{1} \left (t \right )-y_{2} \left (t \right )+11 y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=-7 y_{1} \left (t \right )+y_{2} \left (t \right )+13 y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=-4 y_{1} \left (t \right )+8 y_{3} \left (t \right ) \end {array}\right ] \]
i.c.

2277

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=5 y_{1} \left (t \right )-y_{2} \left (t \right )+y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=-y_{1} \left (t \right )+9 y_{2} \left (t \right )-3 y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=-2 y_{1} \left (t \right )+2 y_{2} \left (t \right )+4 y_{3} \left (t \right ) \end {array}\right ] \]

2278

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=y_{1} \left (t \right )+10 y_{2} \left (t \right )-12 y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=2 y_{1} \left (t \right )+2 y_{2} \left (t \right )+3 y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=2 y_{1} \left (t \right )-y_{2} \left (t \right )+6 y_{3} \left (t \right ) \end {array}\right ] \]

2279

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-6 y_{1} \left (t \right )-4 y_{2} \left (t \right )-4 y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=2 y_{1} \left (t \right )-y_{2} \left (t \right )+y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=2 y_{1} \left (t \right )+3 y_{2} \left (t \right )+y_{3} \left (t \right ) \end {array}\right ] \]

2280

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=2 y_{2} \left (t \right )-2 y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=-y_{1} \left (t \right )+5 y_{2} \left (t \right )-3 y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=y_{1} \left (t \right )+y_{2} \left (t \right )+y_{3} \left (t \right ) \end {array}\right ] \]

2281

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-2 y_{1} \left (t \right )-12 y_{2} \left (t \right )+10 y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=2 y_{1} \left (t \right )-24 y_{2} \left (t \right )+11 y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=2 y_{1} \left (t \right )-24 y_{2} \left (t \right )+8 y_{3} \left (t \right ) \end {array}\right ] \]

2282

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-y_{1} \left (t \right )-12 y_{2} \left (t \right )+8 y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=y_{1} \left (t \right )-9 y_{2} \left (t \right )+4 y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=y_{1} \left (t \right )-6 y_{2} \left (t \right )+y_{3} \left (t \right ) \end {array}\right ] \]

2283

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-4 y_{1} \left (t \right )-y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=-y_{1} \left (t \right )-3 y_{2} \left (t \right )-y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=y_{1} \left (t \right )-2 y_{3} \left (t \right ) \end {array}\right ] \]

2284

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-3 y_{1} \left (t \right )-3 y_{2} \left (t \right )+4 y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=4 y_{1} \left (t \right )+5 y_{2} \left (t \right )-8 y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=2 y_{1} \left (t \right )+3 y_{2} \left (t \right )-5 y_{3} \left (t \right ) \end {array}\right ] \]

2285

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-3 y_{1} \left (t \right )-y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=y_{1} \left (t \right )-y_{2} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=-y_{1} \left (t \right )-y_{2} \left (t \right )-2 y_{3} \left (t \right ) \end {array}\right ] \]

2286

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-y_{1} \left (t \right )+2 y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=-5 y_{1} \left (t \right )+5 y_{2} \left (t \right ) \end {array}\right ] \]

2287

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-11 y_{1} \left (t \right )+4 y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=-26 y_{1} \left (t \right )+9 y_{2} \left (t \right ) \end {array}\right ] \]

2288

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=y_{1} \left (t \right )+2 y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=-4 y_{1} \left (t \right )+5 y_{2} \left (t \right ) \end {array}\right ] \]

2289

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=5 y_{1} \left (t \right )-6 y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=3 y_{1} \left (t \right )-y_{2} \left (t \right ) \end {array}\right ] \]

2290

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-3 y_{1} \left (t \right )-3 y_{2} \left (t \right )+y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=2 y_{2} \left (t \right )+2 y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=5 y_{1} \left (t \right )+y_{2} \left (t \right )+y_{3} \left (t \right ) \end {array}\right ] \]

2291

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-3 y_{1} \left (t \right )+3 y_{2} \left (t \right )+y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=y_{1} \left (t \right )-5 y_{2} \left (t \right )-3 y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=-3 y_{1} \left (t \right )+7 y_{2} \left (t \right )+3 y_{3} \left (t \right ) \end {array}\right ] \]

2292

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=2 y_{1} \left (t \right )+y_{2} \left (t \right )-y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=y_{2} \left (t \right )+y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=y_{1} \left (t \right )+y_{3} \left (t \right ) \end {array}\right ] \]

2293

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-3 y_{1} \left (t \right )+y_{2} \left (t \right )-3 y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=4 y_{1} \left (t \right )-y_{2} \left (t \right )+2 y_{3} \left (t \right ) \\ y_{3}^{\prime }\left (t \right )=4 y_{1} \left (t \right )-2 y_{2} \left (t \right )+3 y_{3} \left (t \right ) \end {array}\right ] \]

2698

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=6 x \left (t \right )-3 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

2699

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right )+y \left (t \right )+t \\ y^{\prime }\left (t \right )=-4 x \left (t \right )+3 y \left (t \right )-1 \end {array}\right ] \]

2700

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=6 x \left (t \right )-3 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

2701

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right )+{\mathrm e}^{t} \\ y^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right )-{\mathrm e}^{t} \end {array}\right ] \]

2702

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=4 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]
i.c.

2703

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-3 y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )+2 y \left (t \right ) \end {array}\right ] \]
i.c.

2704

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=5 x \left (t \right )-3 y \left (t \right ) \end {array}\right ] \]
i.c.

2705

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=4 x \left (t \right )-y \left (t \right ) \end {array}\right ] \]
i.c.

2706

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 x \left (t \right )+5 y \left (t \right )+4 \,{\mathrm e}^{t} \cos \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]
i.c.

2707

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )-4 y \left (t \right )+{\mathrm e}^{t} \\ y^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right )+{\mathrm e}^{t} \end {array}\right ] \]
i.c.

2708

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )-5 y \left (t \right )+\sin \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right )+\tan \left (t \right ) \end {array}\right ] \]
i.c.

2709

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right )+\textit {f\_1} \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )+f_{2} \left (t \right ) \end {array}\right ] \]
i.c.

2728

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=6 x_{1} \left (t \right )-3 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right ) \end {array}\right ] \]

2729

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-4 x_{1} \left (t \right )+3 x_{2} \left (t \right ) \end {array}\right ] \]

2730

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+2 x_{2} \left (t \right )+4 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+2 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+2 x_{2} \left (t \right )+3 x_{3} \left (t \right ) \end {array}\right ] \]

2731

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=7 x_{1} \left (t \right )-x_{2} \left (t \right )+6 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-10 x_{1} \left (t \right )+4 x_{2} \left (t \right )-12 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+x_{2} \left (t \right )-x_{3} \left (t \right ) \end {array}\right ] \]

2732

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-7 x_{1} \left (t \right )+6 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=5 x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=6 x_{1} \left (t \right )+2 x_{3} \left (t \right ) \end {array}\right ] \]

2733

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+2 x_{2} \left (t \right )+3 x_{3} \left (t \right )+6 x_{4} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+6 x_{2} \left (t \right )+9 x_{3} \left (t \right )+18 x_{4} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=5 x_{1} \left (t \right )+10 x_{2} \left (t \right )+15 x_{3} \left (t \right )+30 x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=7 x_{1} \left (t \right )+14 x_{2} \left (t \right )+21 x_{3} \left (t \right )+42 x_{4} \left (t \right ) \end {array}\right ] \]

2734

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

2735

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-3 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+2 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

2736

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+3 x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+3 x_{2} \left (t \right )-x_{3} \left (t \right ) \end {array}\right ] \]
i.c.

2737

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+2 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )+10 x_{2} \left (t \right )+2 x_{3} \left (t \right ) \end {array}\right ] \]
i.c.

2738

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-3 x_{2} \left (t \right )+2 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-x_{2} \left (t \right )-2 x_{3} \left (t \right ) \end {array}\right ] \]
i.c.

2739

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+x_{2} \left (t \right )-2 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{1} \left (t \right )+2 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+x_{2} \left (t \right )-3 x_{3} \left (t \right ) \end {array}\right ] \]
i.c.

2740

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )+2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{1} \left (t \right )-x_{2} \left (t \right ) \end {array}\right ] \]

2741

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-5 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-3 x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{3} \left (t \right ) \end {array}\right ] \]

2742

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+x_{2} \left (t \right )-2 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+2 x_{2} \left (t \right )+x_{3} \left (t \right ) \end {array}\right ] \]

2743

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )-x_{3} \left (t \right ) \end {array}\right ] \]

2744

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=5 x_{1} \left (t \right )-3 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

2745

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=4 x_{1} \left (t \right )-x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

2746

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )+2 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )-x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

2747

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-2 x_{1} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-3 x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=3 x_{3} \left (t \right ) \end {array}\right ] \]
i.c.

2748

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{3} \left (t \right ) \end {array}\right ] \]

2749

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right )+3 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{3} \left (t \right ) \end {array}\right ] \]
i.c.

2750

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-3 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )-x_{2} \left (t \right )-x_{3} \left (t \right ) \end {array}\right ] \]

2751

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )+2 x_{2} \left (t \right )+4 x_{3} \left (t \right ) \end {array}\right ] \]

2752

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{1} \left (t \right )-x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-2 x_{3} \left (t \right ) \end {array}\right ] \]

2753

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{3} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=-x_{3} \left (t \right )+2 x_{4} \left (t \right ) \end {array}\right ] \]

2754

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{1} \left (t \right )+x_{2} \left (t \right )+2 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{1} \left (t \right )+x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+x_{2} \left (t \right )+3 x_{3} \left (t \right ) \end {array}\right ] \]
i.c.

2755

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-4 x_{1} \left (t \right )-4 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=10 x_{1} \left (t \right )+9 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-4 x_{1} \left (t \right )-3 x_{2} \left (t \right )+x_{3} \left (t \right ) \end {array}\right ] \]
i.c.

2756

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+2 x_{2} \left (t \right )-3 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )+2 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )-x_{2} \left (t \right )+4 x_{3} \left (t \right ) \end {array}\right ] \]
i.c.

2757

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+3 x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=3 x_{3} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=2 x_{3} \left (t \right )+3 x_{4} \left (t \right ) \end {array}\right ] \]
i.c.

2758

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right )-2 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+2 x_{2} \left (t \right )+x_{3} \left (t \right )+{\mathrm e}^{t} \cos \left (2 t \right ) \end {array}\right ] \]

2759

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+{\mathrm e}^{c t} \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right )-2 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+2 x_{2} \left (t \right )+x_{3} \left (t \right ) \end {array}\right ] \]

2760

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+5 x_{2} \left (t \right )+4 \,{\mathrm e}^{t} \cos \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )-2 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

2761

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-4 x_{2} \left (t \right )+{\mathrm e}^{t} \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-x_{2} \left (t \right )+{\mathrm e}^{t} \end {array}\right ] \]
i.c.

2762

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-5 x_{2} \left (t \right )+\sin \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-2 x_{2} \left (t \right )+\tan \left (t \right ) \end {array}\right ] \]
i.c.

2763

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{2} \left (t \right )+f_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{1} \left (t \right )+f_{2} \left (t \right ) \end {array}\right ] \]
i.c.

2764

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{3} \left (t \right )+{\mathrm e}^{2 t} \\ x_{2}^{\prime }\left (t \right )=2 x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{2} \left (t \right )+3 x_{3} \left (t \right )+{\mathrm e}^{2 t} \end {array}\right ] \]
i.c.

2765

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{1} \left (t \right )-x_{2} \left (t \right )-2 x_{3} \left (t \right )+{\mathrm e}^{t} \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right )+3 x_{3} \left (t \right ) \end {array}\right ] \]
i.c.

2766

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right )+{\mathrm e}^{3 t} \\ x_{2}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-2 x_{2} \left (t \right )+{\mathrm e}^{3 t} \end {array}\right ] \]

2767

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-x_{2} \left (t \right )-t^{2} \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+3 x_{2} \left (t \right )+2 t \end {array}\right ] \]

2768

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+3 x_{2} \left (t \right )+2 x_{3} \left (t \right )+\sin \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{1} \left (t \right )+2 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=4 x_{1} \left (t \right )-x_{2} \left (t \right )-x_{3} \left (t \right ) \end {array}\right ] \]

2769

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+2 x_{2} \left (t \right )-3 x_{3} \left (t \right )+{\mathrm e}^{t} \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )+2 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )-x_{2} \left (t \right )+4 x_{3} \left (t \right )-{\mathrm e}^{t} \end {array}\right ] \]

2770

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{1} \left (t \right )-x_{2} \left (t \right )+1 \\ x_{2}^{\prime }\left (t \right )=-4 x_{2} \left (t \right )-x_{3} \left (t \right )+t \\ x_{3}^{\prime }\left (t \right )=5 x_{2} \left (t \right )+{\mathrm e}^{t} \end {array}\right ] \]

2771

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )-x_{3} \left (t \right )+{\mathrm e}^{2 t} \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+3 x_{2} \left (t \right )-4 x_{3} \left (t \right )+2 \,{\mathrm e}^{2 t} \\ x_{3}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+x_{2} \left (t \right )-4 x_{3} \left (t \right )+{\mathrm e}^{2 t} \end {array}\right ] \]

2772

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-x_{2} \left (t \right )-x_{3} \left (t \right )+{\mathrm e}^{3 t} \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+3 x_{2} \left (t \right )+x_{3} \left (t \right )-{\mathrm e}^{3 t} \\ x_{3}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )+x_{2} \left (t \right )-x_{3} \left (t \right )-{\mathrm e}^{3 t} \end {array}\right ] \]

2773

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+2 x_{2} \left (t \right )+4 x_{3} \left (t \right )+2 \,{\mathrm e}^{8 t} \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+2 x_{3} \left (t \right )+{\mathrm e}^{8 t} \\ x_{3}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+2 x_{2} \left (t \right )+3 x_{3} \left (t \right )+2 \,{\mathrm e}^{8 t} \end {array}\right ] \]

3170

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )-x \left (t \right )=\cos \left (t \right ) \\ y^{\prime }\left (t \right )+y \left (t \right )=4 t \end {array}\right ] \]

3171

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+5 x \left (t \right )=3 t^{2} \\ y^{\prime }\left (t \right )+y \left (t \right )={\mathrm e}^{3 t} \end {array}\right ] \]

3172

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+2 x \left (t \right )=3 t \\ x^{\prime }\left (t \right )+2 y^{\prime }\left (t \right )+y \left (t \right )=\cos \left (2 t \right ) \end {array}\right ] \]

3173

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )-x \left (t \right )+y \left (t \right )=2 \sin \left (t \right ) \\ x^{\prime }\left (t \right )+y^{\prime }\left (t \right )=3 y \left (t \right )-3 x \left (t \right ) \end {array}\right ] \]

3174

\[ {}\left [\begin {array}{c} 2 x^{\prime }\left (t \right )+3 x \left (t \right )-y \left (t \right )={\mathrm e}^{t} \\ 5 x \left (t \right )-3 y^{\prime }\left (t \right )=y \left (t \right )+2 t \end {array}\right ] \]

3175

\[ {}\left [\begin {array}{c} 5 y^{\prime }\left (t \right )-3 x^{\prime }\left (t \right )-5 y \left (t \right )=5 t \\ 3 x^{\prime }\left (t \right )-5 y^{\prime }\left (t \right )-2 x \left (t \right )=0 \end {array}\right ] \]

3176

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )+3 y \left (t \right ) \\ z^{\prime }\left (t \right )=3 y \left (t \right )-2 z \left (t \right ) \end {array}\right ] \]

3743

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+3 x_{2} \left (t \right ) \end {array}\right ] \]

3744

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-3 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-2 x_{2} \left (t \right ) \end {array}\right ] \]

3745

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{2} \left (t \right )-x_{1} \left (t \right ) \end {array}\right ] \]

3746

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+4 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-4 x_{1} \left (t \right )-6 x_{2} \left (t \right ) \end {array}\right ] \]

3747

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-2 x_{1} \left (t \right ) \end {array}\right ] \]

3748

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-3 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+x_{2} \left (t \right ) \end {array}\right ] \]

3749

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{2} \left (t \right )+x_{3} \left (t \right ) \end {array}\right ] \]

3750

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-x_{2} \left (t \right )+3 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-x_{2} \left (t \right )-3 x_{3} \left (t \right ) \end {array}\right ] \]

3751

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

3752

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+5 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{1} \left (t \right )-2 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

3753

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{1} \left (t \right )+4 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

3754

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+2 x_{2} \left (t \right )+5 \,{\mathrm e}^{4 t} \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right ) \end {array}\right ] \]

3755

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+x_{2} \left (t \right )+t \\ x_{2}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+x_{2} \left (t \right )+1 \end {array}\right ] \]

3756

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )+{\mathrm e}^{2 t} \\ x_{2}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-x_{2} \left (t \right )+5 \,{\mathrm e}^{2 t} \end {array}\right ] \]

3757

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-\tan \left (t \right ) x_{1} \left (t \right )+3 \cos \left (t \right )^{2} \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+\tan \left (t \right ) x_{2} \left (t \right )+2 \sin \left (t \right ) \end {array}\right ] \]
i.c.

3758

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-4 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-3 x_{2} \left (t \right ) \end {array}\right ] \]

3759

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-b x_{1} \left (t \right )-a x_{2} \left (t \right ) \end {array}\right ] \]

3760

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-3 x_{1} \left (t \right ) \end {array}\right ] \]

3761

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+3 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+5 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

3762

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right ) \end {array}\right ] \]

3763

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{2} \left (t \right )-x_{1} \left (t \right ) \end {array}\right ] \]

3764

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-x_{2} \left (t \right )+3 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-x_{2} \left (t \right )+3 x_{3} \left (t \right ) \end {array}\right ] \]

3765

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=\frac {x_{1} \left (t \right )}{t} \\ x_{2}^{\prime }\left (t \right )=x_{2} \left (t \right ) \end {array}\right ] \]

3766

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=\frac {x_{1} \left (t \right )}{t}+t x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-\frac {x_{1} \left (t \right )}{t} \end {array}\right ] \]

3767

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{1} \left (t \right )+2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+2 x_{2} \left (t \right ) \end {array}\right ] \]

3768

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )-7 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{1} \left (t \right )+4 x_{2} \left (t \right ) \end {array}\right ] \]

3769

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-4 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=4 x_{1} \left (t \right ) \end {array}\right ] \]

3770

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=5 x_{1} \left (t \right )-5 x_{2} \left (t \right ) \end {array}\right ] \]

3771

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{1} \left (t \right )+2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )-x_{2} \left (t \right ) \end {array}\right ] \]

3772

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=5 x_{2} \left (t \right )-7 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{2} \left (t \right )-4 x_{3} \left (t \right ) \end {array}\right ] \]

3773

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+5 x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )+6 x_{2} \left (t \right )-2 x_{3} \left (t \right ) \end {array}\right ] \]

3774

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{1} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=5 x_{3} \left (t \right ) \end {array}\right ] \]

3775

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+3 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-4 x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )+2 x_{3} \left (t \right ) \end {array}\right ] \]

3776

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+2 x_{2} \left (t \right )+6 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+x_{2} \left (t \right )-2 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-x_{1} \left (t \right )-2 x_{2} \left (t \right )-4 x_{3} \left (t \right ) \end {array}\right ] \]

3777

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-3 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )-x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{3} \left (t \right ) \end {array}\right ] \]

3778

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-3 x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{2} \left (t \right )-x_{3} \left (t \right ) \end {array}\right ] \]

3779

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-x_{1} \left (t \right )+x_{2} \left (t \right )+x_{3} \left (t \right ) \end {array}\right ] \]

3780

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-x_{2} \left (t \right )+3 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-x_{2} \left (t \right )+3 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-x_{2} \left (t \right )+3 x_{3} \left (t \right ) \end {array}\right ] \]

3781

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+2 x_{2} \left (t \right )+3 x_{3} \left (t \right )+4 x_{4} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+3 x_{2} \left (t \right )+2 x_{3} \left (t \right )+x_{4} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+5 x_{2} \left (t \right )+6 x_{3} \left (t \right )+7 x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=7 x_{1} \left (t \right )+6 x_{2} \left (t \right )+5 x_{3} \left (t \right )+4 x_{4} \left (t \right ) \end {array}\right ] \]

3782

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{1} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=x_{3} \left (t \right ) \end {array}\right ] \]

3783

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{1} \left (t \right )+4 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-3 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

3784

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{1} \left (t \right )-6 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+5 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

3785

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-x_{2} \left (t \right )+3 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-x_{2} \left (t \right )+3 x_{3} \left (t \right ) \end {array}\right ] \]
i.c.

3786

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=4 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-4 x_{1} \left (t \right ) \end {array}\right ] \]
i.c.

3787

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-b x_{1} \left (t \right )-a x_{2} \left (t \right ) \end {array}\right ] \]

3788

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{1} \left (t \right )+3 x_{2} \left (t \right ) \end {array}\right ] \]

3789

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+4 x_{2} \left (t \right ) \end {array}\right ] \]

3790

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )-2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right ) \end {array}\right ] \]

3791

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )-x_{3} \left (t \right ) \end {array}\right ] \]

3792

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+2 x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+3 x_{2} \left (t \right )-x_{3} \left (t \right ) \end {array}\right ] \]

3793

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-2 x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-3 x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-x_{1} \left (t \right )+x_{2} \left (t \right )-x_{3} \left (t \right ) \end {array}\right ] \]

3794

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=15 x_{1} \left (t \right )-32 x_{2} \left (t \right )+12 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=8 x_{1} \left (t \right )-17 x_{2} \left (t \right )+6 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-x_{3} \left (t \right ) \end {array}\right ] \]

3795

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=4 x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+4 x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{2} \left (t \right )+4 x_{3} \left (t \right ) \end {array}\right ] \]

3796

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=3 x_{2} \left (t \right )+2 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-2 x_{2} \left (t \right )-x_{3} \left (t \right ) \end {array}\right ] \]

3797

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{1} \left (t \right )+5 x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=4 x_{3} \left (t \right ) \end {array}\right ] \]

3798

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{2} \left (t \right )-x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )-3 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )-2 x_{3} \left (t \right ) \end {array}\right ] \]

3799

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )+2 x_{3} \left (t \right )+x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=x_{2} \left (t \right )+2 x_{4} \left (t \right ) \end {array}\right ] \]

3800

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+3 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-2 x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{3} \left (t \right )+x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=x_{2} \left (t \right )+x_{4} \left (t \right ) \end {array}\right ] \]

3801

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )-x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=x_{2} \left (t \right )+x_{3} \left (t \right ) \end {array}\right ] \]

3802

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )-x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-4 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

3803

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )-x_{2} \left (t \right )+4 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-x_{1} \left (t \right )-3 x_{2} \left (t \right )+2 x_{3} \left (t \right ) \end {array}\right ] \]
i.c.

3804

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=4 x_{1} \left (t \right )-3 x_{2} \left (t \right )+{\mathrm e}^{2 t} \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-x_{2} \left (t \right )+{\mathrm e}^{t} \end {array}\right ] \]

3805

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{1} \left (t \right )+2 x_{2} \left (t \right )+4 \,{\mathrm e}^{t} \end {array}\right ] \]

3806

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+x_{2} \left (t \right )+t \,{\mathrm e}^{3 t} \\ x_{2}^{\prime }\left (t \right )=3 x_{2} \left (t \right )+{\mathrm e}^{3 t} \end {array}\right ] \]

3807

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{1} \left (t \right )+x_{2} \left (t \right )+20 \,{\mathrm e}^{3 t} \\ x_{2}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+x_{2} \left (t \right )+12 \,{\mathrm e}^{t} \end {array}\right ] \]

3808

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{1} \left (t \right )+2 x_{2} \left (t \right )+54 t \,{\mathrm e}^{3 t} \\ x_{2}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+4 x_{2} \left (t \right )+9 \,{\mathrm e}^{3 t} \end {array}\right ] \]

3809

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+4 x_{2} \left (t \right )+8 \sin \left (2 t \right ) \\ x_{2}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )-2 x_{2} \left (t \right )+8 \cos \left (2 t \right ) \end {array}\right ] \]

3810

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+2 x_{2} \left (t \right )-3 \,{\mathrm e}^{t} \\ x_{2}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )-x_{2} \left (t \right )+6 \,{\mathrm e}^{t} t \end {array}\right ] \]

3811

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-{\mathrm e}^{t} \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-3 x_{2} \left (t \right )+2 x_{3} \left (t \right )+6 \,{\mathrm e}^{-t} \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )-2 x_{2} \left (t \right )+2 x_{3} \left (t \right )+{\mathrm e}^{t} \end {array}\right ] \]

3812

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{1} \left (t \right )-2 x_{2} \left (t \right )+2 x_{3} \left (t \right )-{\mathrm e}^{3 t} \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+4 x_{2} \left (t \right )-x_{3} \left (t \right )+4 \,{\mathrm e}^{3 t} \\ x_{3}^{\prime }\left (t \right )=3 x_{3} \left (t \right )+3 \,{\mathrm e}^{3 t} \end {array}\right ] \]

3813

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-3 x_{2} \left (t \right )+34 \sin \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-4 x_{1} \left (t \right )-2 x_{2} \left (t \right )+17 \cos \left (t \right ) \end {array}\right ] \]

3814

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{2} \left (t \right ) \end {array}\right ] \]

3815

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{2} \left (t \right ) \end {array}\right ] \]

3816

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=3 x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{2} \left (t \right )+x_{3} \left (t \right ) \end {array}\right ] \]

3817

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )-2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right ) \end {array}\right ] \]

3818

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=4 x_{1} \left (t \right )-x_{2} \left (t \right ) \end {array}\right ] \]

3819

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{2} \left (t \right )-8 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{2} \left (t \right )-7 x_{3} \left (t \right ) \end {array}\right ] \]

3820

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{2} \left (t \right )+3 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+3 x_{2} \left (t \right )-2 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{2} \left (t \right )+2 x_{3} \left (t \right ) \end {array}\right ] \]

3821

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-8 x_{1} \left (t \right )+6 x_{2} \left (t \right )-3 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-12 x_{1} \left (t \right )+10 x_{2} \left (t \right )-3 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-2 x_{3} \left (t \right ) \end {array}\right ] \]

3822

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=6 x_{2} \left (t \right )-7 x_{3} \left (t \right )+3 x_{4} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=3 x_{3} \left (t \right )-x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=-4 x_{2} \left (t \right )+9 x_{3} \left (t \right )-3 x_{4} \left (t \right ) \end {array}\right ] \]

3823

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{2} \left (t \right )-x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=x_{2} \left (t \right )+x_{3} \left (t \right ) \end {array}\right ] \]

3824

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=\left (-1+2 t \right ) x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )={\mathrm e}^{-t^{2}+t} x_{1} \left (t \right )+x_{2} \left (t \right ) \end {array}\right ] \]

3825

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=t \cot \left (t^{2}\right ) x_{1} \left (t \right )+\frac {t \cos \left (t^{2}\right ) x_{3} \left (t \right )}{2} \\ x_{2}^{\prime }\left (t \right )=\frac {x_{2} \left (t \right )}{t}-x_{3} \left (t \right )+2-\sin \left (t \right ) t \\ x_{3}^{\prime }\left (t \right )=\csc \left (t^{2}\right ) x_{1} \left (t \right )+x_{2} \left (t \right )-x_{3} \left (t \right )+1-\cos \left (t \right ) t \end {array}\right ] \]

3826

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-6 x_{1} \left (t \right )+x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=6 x_{1} \left (t \right )-5 x_{2} \left (t \right ) \end {array}\right ] \]

3827

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=9 x_{1} \left (t \right )-2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=5 x_{1} \left (t \right )-2 x_{2} \left (t \right ) \end {array}\right ] \]

3828

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=10 x_{1} \left (t \right )-4 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+2 x_{2} \left (t \right ) \end {array}\right ] \]

3829

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-8 x_{1} \left (t \right )+5 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-5 x_{1} \left (t \right )+2 x_{2} \left (t \right ) \end {array}\right ] \]

3830

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+4 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-4 x_{1} \left (t \right )-5 x_{3} \left (t \right ) \end {array}\right ] \]

3831

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )-x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=4 x_{1} \left (t \right )-7 x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=6 x_{1} \left (t \right )+6 x_{2} \left (t \right )+4 x_{3} \left (t \right ) \end {array}\right ] \]

3832

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+13 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{1} \left (t \right )-3 x_{2} \left (t \right ) \end {array}\right ] \]

3833

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )-10 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=5 x_{1} \left (t \right )+11 x_{2} \left (t \right ) \end {array}\right ] \]

3834

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{1} \left (t \right )-5 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=4 x_{1} \left (t \right )-9 x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=3 x_{3} \left (t \right ) \end {array}\right ] \]

3835

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-4 x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+5 x_{2} \left (t \right )-9 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=5 x_{2} \left (t \right )-x_{3} \left (t \right ) \end {array}\right ] \]

3836

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-2 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-4 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+2 x_{2} \left (t \right )-3 x_{3} \left (t \right ) \end {array}\right ] \]

3837

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-4 x_{2} \left (t \right )+3 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-9 x_{1} \left (t \right )-3 x_{2} \left (t \right )-9 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+4 x_{2} \left (t \right )+3 x_{3} \left (t \right ) \end {array}\right ] \]

3838

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-17 x_{1} \left (t \right )-42 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-7 x_{1} \left (t \right )+4 x_{2} \left (t \right )-14 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=7 x_{1} \left (t \right )+18 x_{3} \left (t \right ) \end {array}\right ] \]

3839

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-16 x_{1} \left (t \right )+30 x_{2} \left (t \right )-18 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-8 x_{1} \left (t \right )+8 x_{2} \left (t \right )+16 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=8 x_{1} \left (t \right )-15 x_{2} \left (t \right )+9 x_{3} \left (t \right ) \end {array}\right ] \]

3840

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-7 x_{1} \left (t \right )-6 x_{2} \left (t \right )-7 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )-3 x_{2} \left (t \right )-3 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=7 x_{1} \left (t \right )+6 x_{2} \left (t \right )+7 x_{3} \left (t \right ) \end {array}\right ] \]

3841

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-x_{2} \left (t \right )-2 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+6 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )+6 x_{3} \left (t \right ) \end {array}\right ] \]

3842

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{1} \left (t \right )-4 x_{2} \left (t \right )-2 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-4 x_{1} \left (t \right )-5 x_{2} \left (t \right )-6 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+8 x_{2} \left (t \right )+7 x_{3} \left (t \right ) \end {array}\right ] \]

3843

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=7 x_{1} \left (t \right )-2 x_{2} \left (t \right )+2 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=4 x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-x_{1} \left (t \right )+x_{2} \left (t \right )+4 x_{3} \left (t \right ) \end {array}\right ] \]

3844

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )-x_{2} \left (t \right )-2 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right ) \end {array}\right ] \]

3845

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )-x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right ) \end {array}\right ] \]

3846

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+13 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{1} \left (t \right )-2 x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{3} \left (t \right )+4 x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=2 x_{4} \left (t \right ) \end {array}\right ] \]

3847

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=7 x_{1} \left (t \right )-x_{4} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=6 x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-x_{3} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+5 x_{4} \left (t \right ) \end {array}\right ] \]

3848

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-6 x_{1} \left (t \right )+x_{2} \left (t \right )+1 \\ x_{2}^{\prime }\left (t \right )=6 x_{1} \left (t \right )-5 x_{2} \left (t \right )+{\mathrm e}^{-t} \end {array}\right ] \]

3849

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=9 x_{1} \left (t \right )-2 x_{2} \left (t \right )+9 t \\ x_{2}^{\prime }\left (t \right )=5 x_{1} \left (t \right )-2 x_{2} \left (t \right ) \end {array}\right ] \]

3850

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=10 x_{1} \left (t \right )-4 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+2 x_{2} \left (t \right )+\frac {{\mathrm e}^{6 t}}{t} \end {array}\right ] \]

3851

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-4 x_{2} \left (t \right )+3 x_{3} \left (t \right )+{\mathrm e}^{6 t} \\ x_{2}^{\prime }\left (t \right )=-9 x_{1} \left (t \right )-3 x_{2} \left (t \right )-9 x_{3} \left (t \right )+1 \\ x_{3}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+4 x_{2} \left (t \right )+3 x_{3} \left (t \right ) \end {array}\right ] \]

3852

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-2 x_{2} \left (t \right )+x_{3} \left (t \right )+t \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-4 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+2 x_{2} \left (t \right )-3 x_{3} \left (t \right )+1 \end {array}\right ] \]

3853

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )+4 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=8 x_{1} \left (t \right )+x_{2} \left (t \right ) \end {array}\right ] \]

3854

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-6 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-5 x_{2} \left (t \right ) \end {array}\right ] \]

3855

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=5 x_{1} \left (t \right )+9 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )-x_{2} \left (t \right ) \end {array}\right ] \]

3856

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-4 x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-4 x_{2} \left (t \right ) \end {array}\right ] \]

3857

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=7 x_{1} \left (t \right )-2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+4 x_{2} \left (t \right ) \end {array}\right ] \]

3858

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )-5 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-7 x_{2} \left (t \right ) \end {array}\right ] \]

3859

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )-x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-4 x_{2} \left (t \right ) \end {array}\right ] \]

3860

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=10 x_{1} \left (t \right )-8 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+2 x_{2} \left (t \right ) \end {array}\right ] \]

4099

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=y_{2} \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=3 y_{2} \left (x \right )-2 y_{1} \left (x \right ) \end {array}\right ] \]

4100

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=y_{1} \left (x \right )+y_{2} \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=3 y_{2} \left (x \right )-y_{1} \left (x \right ) \end {array}\right ] \]

4101

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=y_{1} \left (x \right )-y_{2} \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=2 y_{1} \left (x \right )+3 y_{2} \left (x \right ) \end {array}\right ] \]

4102

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=4 y_{2} \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=4 y_{2} \left (x \right )-y_{1} \left (x \right ) \end {array}\right ] \]

4103

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=y_{1} \left (x \right )+y_{2} \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=y_{1} \left (x \right )-y_{2} \left (x \right ) \end {array}\right ] \]

4104

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=y_{2} \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=y_{1} \left (x \right ) \end {array}\right ] \]

4105

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=y_{2} \left (x \right )-y_{1} \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=3 y_{1} \left (x \right )-4 y_{2} \left (x \right ) \end {array}\right ] \]

4106

\[ {}\left [\begin {array}{c} 2 y_{1}^{\prime }\left (x \right )=y_{1} \left (x \right )+y_{2} \left (x \right ) \\ 2 y_{2}^{\prime }\left (x \right )=5 y_{2} \left (x \right )-3 y_{1} \left (x \right ) \end {array}\right ] \]
i.c.

4107

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=-2 y_{2} \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=y_{1} \left (x \right )+2 y_{2} \left (x \right ) \end {array}\right ] \]
i.c.

4108

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=1 \\ y_{2}^{\prime }\left (x \right )=2 y_{1} \left (x \right ) \end {array}\right ] \]

4109

\[ {}\left [\begin {array}{c} 2 y_{1}^{\prime }\left (x \right )+y_{2}^{\prime }\left (x \right )-4 y_{1} \left (x \right )-y_{2} \left (x \right )={\mathrm e}^{x} \\ y_{1}^{\prime }\left (x \right )+3 y_{1} \left (x \right )+y_{2} \left (x \right )=0 \end {array}\right ] \]

4110

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=y_{2} \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=-y_{1} \left (x \right )+y_{3} \left (x \right ) \\ y_{3}^{\prime }\left (x \right )=-y_{2} \left (x \right ) \end {array}\right ] \]

6538

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )-y^{\prime }\left (t \right )+y \left (t \right )=-{\mathrm e}^{t} \\ x \left (t \right )+y^{\prime }\left (t \right )-y \left (t \right )={\mathrm e}^{2 t} \end {array}\right ] \]

6539

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+2 x \left (t \right )+y^{\prime }\left (t \right )+y \left (t \right )=t \\ 5 x \left (t \right )+y^{\prime }\left (t \right )+3 y \left (t \right )=t^{2} \end {array}\right ] \]

6540

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+x \left (t \right )+2 y^{\prime }\left (t \right )+7 y \left (t \right )={\mathrm e}^{t}+2 \\ -2 x \left (t \right )+y^{\prime }\left (t \right )+3 y \left (t \right )={\mathrm e}^{t}-1 \end {array}\right ] \]

6541

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )-x \left (t \right )+y^{\prime }\left (t \right )+3 y \left (t \right )={\mathrm e}^{-t}-1 \\ x^{\prime }\left (t \right )+2 x \left (t \right )+y^{\prime }\left (t \right )+3 y \left (t \right )=1+{\mathrm e}^{2 t} \end {array}\right ] \]

6542

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )-x \left (t \right )+y^{\prime }\left (t \right )+2 y \left (t \right )=1+{\mathrm e}^{t} \\ y^{\prime }\left (t \right )+2 y \left (t \right )+z^{\prime }\left (t \right )+z \left (t \right )={\mathrm e}^{t}+2 \\ x^{\prime }\left (t \right )-x \left (t \right )+z^{\prime }\left (t \right )+z \left (t \right )=3+{\mathrm e}^{t} \end {array}\right ] \]

6992

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-18 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-9 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

6993

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+3 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=5 x_{1} \left (t \right )+3 x_{2} \left (t \right ) \end {array}\right ] \]

6994

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{1} \left (t \right )+3 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )+5 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

6995

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=4 x_{1} \left (t \right )-x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=5 x_{1} \left (t \right )+2 x_{2} \left (t \right ) \end {array}\right ] \]

6996

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-2 x_{2} \left (t \right ) \end {array}\right ] \]

6997

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+x_{2} \left (t \right )+2 \,{\mathrm e}^{-t} \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-2 x_{2} \left (t \right )+3 t \end {array}\right ] \]

6998

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=16 x_{1} \left (t \right )-5 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

6999

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-4 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

7000

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-18 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-9 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

7001

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{1} \left (t \right )+3 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )+5 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

7002

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-18 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-9 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

7003

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=4 x_{1} \left (t \right )-2 x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

7004

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )-8 \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )+3 \end {array}\right ] \]

7005

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )-8 \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )+3 \end {array}\right ] \]
i.c.

7195

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=y_{1} \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=y_{1} \left (x \right )+y_{2} \left (x \right ) \end {array}\right ] \]
i.c.

7196

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=y_{2} \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=6 y_{1} \left (x \right )+y_{2} \left (x \right ) \end {array}\right ] \]
i.c.

7197

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=y_{1} \left (x \right )+y_{2} \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=y_{1} \left (x \right )+y_{2} \left (x \right )+{\mathrm e}^{3 x} \end {array}\right ] \]
i.c.

7198

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=3 y_{1} \left (x \right )+x y_{3} \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=y_{2} \left (x \right )+x^{3} y_{3} \left (x \right ) \\ y_{3}^{\prime }\left (x \right )=2 x y_{1} \left (x \right )-y_{2} \left (x \right )+{\mathrm e}^{x} y_{3} \left (x \right ) \end {array}\right ] \]

7608

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+3 y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

7609

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+3 y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]
i.c.

7610

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )+2 y \left (t \right ) \end {array}\right ] \]

7611

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+2 y \left (t \right )+t -1 \\ y^{\prime }\left (t \right )=3 x \left (t \right )+2 y \left (t \right )-5 t -2 \end {array}\right ] \]

7612

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=y \left (t \right ) \end {array}\right ] \]

7613

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right ) \\ y^{\prime }\left (t \right )=y \left (t \right ) \end {array}\right ] \]

7614

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 x \left (t \right )+4 y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )+3 y \left (t \right ) \end {array}\right ] \]

7615

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=5 x \left (t \right )+2 y \left (t \right ) \end {array}\right ] \]

7616

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=5 x \left (t \right )+4 y \left (t \right ) \\ y^{\prime }\left (t \right )=y \left (t \right )-x \left (t \right ) \end {array}\right ] \]

7617

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 x \left (t \right )-3 y \left (t \right ) \\ y^{\prime }\left (t \right )=8 x \left (t \right )-6 y \left (t \right ) \end {array}\right ] \]

7618

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right ) \\ y^{\prime }\left (t \right )=3 y \left (t \right ) \end {array}\right ] \]

7619

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-4 x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]

7620

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=7 x \left (t \right )+6 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )+6 y \left (t \right ) \end {array}\right ] \]

7621

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=4 x \left (t \right )+5 y \left (t \right ) \end {array}\right ] \]

7622

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right )-5 t +2 \\ y^{\prime }\left (t \right )=4 x \left (t \right )-2 y \left (t \right )-8 t -8 \end {array}\right ] \]

7623

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )-4 y \left (t \right ) \\ y^{\prime }\left (t \right )=4 x \left (t \right )-7 y \left (t \right ) \end {array}\right ] \]

7624

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=4 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

7625

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 x \left (t \right )+\sqrt {2}\, y \left (t \right ) \\ y^{\prime }\left (t \right )=\sqrt {2}\, x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]

7626

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=5 x \left (t \right )+3 y \left (t \right ) \\ y^{\prime }\left (t \right )=-6 x \left (t \right )-4 y \left (t \right ) \end {array}\right ] \]

7627

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

7628

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=y \left (t \right )-x \left (t \right ) \end {array}\right ] \]

7629

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )-5 y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )+2 y \left (t \right ) \end {array}\right ] \]

7630

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-4 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

7631

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )+2 y \left (t \right )+z \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )-y \left (t \right )+3 z \left (t \right ) \\ z^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right )+z \left (t \right ) \end {array}\right ] \]

7632

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )+y \left (t \right )-z \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )-y \left (t \right )-4 z \left (t \right ) \\ z^{\prime }\left (t \right )=3 x \left (t \right )-y \left (t \right )+z \left (t \right ) \end {array}\right ] \]

7633

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+2 y \left (t \right )-4 t +1 \\ y^{\prime }\left (t \right )=-x \left (t \right )+2 y \left (t \right )+3 t +4 \end {array}\right ] \]

7634

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right )+y \left (t \right )-t +3 \\ y^{\prime }\left (t \right )=x \left (t \right )+4 y \left (t \right )+t -2 \end {array}\right ] \]

7635

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-4 x \left (t \right )+y \left (t \right )-t +3 \\ y^{\prime }\left (t \right )=-x \left (t \right )-5 y \left (t \right )+t +1 \end {array}\right ] \]

7636

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right ) y \left (t \right )+1 \\ y^{\prime }\left (t \right )=y \left (t \right )-x \left (t \right ) \end {array}\right ] \]
i.c.

7637

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=t y \left (t \right )+1 \\ y^{\prime }\left (t \right )=-x \left (t \right ) t +y \left (t \right ) \end {array}\right ] \]
i.c.

7805

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )-5 y \left (t \right ) \\ y^{\prime }\left (t \right )=4 x \left (t \right )+8 y \left (t \right ) \end {array}\right ] \]

7806

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 x \left (t \right )-7 y \left (t \right ) \\ y^{\prime }\left (t \right )=5 x \left (t \right ) \end {array}\right ] \]

7807

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 x \left (t \right )+4 y \left (t \right )-9 z \left (t \right ) \\ y^{\prime }\left (t \right )=6 x \left (t \right )-y \left (t \right ) \\ z^{\prime }\left (t \right )=10 x \left (t \right )+4 y \left (t \right )+3 z \left (t \right ) \end {array}\right ] \]

7808

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+2 z \left (t \right ) \\ z^{\prime }\left (t \right )=z \left (t \right )-x \left (t \right ) \end {array}\right ] \]

7809

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right )+z \left (t \right )+t -1 \\ y^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right )-z \left (t \right )-3 t^{2} \\ z^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right )+z \left (t \right )+t^{2}-t +2 \end {array}\right ] \]

7810

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 x \left (t \right )+4 y \left (t \right )+{\mathrm e}^{-t} \sin \left (2 t \right ) \\ y^{\prime }\left (t \right )=5 x \left (t \right )+9 z \left (t \right )+4 \,{\mathrm e}^{-t} \cos \left (2 t \right ) \\ z^{\prime }\left (t \right )=y \left (t \right )+6 z \left (t \right )-{\mathrm e}^{-t} \end {array}\right ] \]

7811

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 x \left (t \right )+2 y \left (t \right )+{\mathrm e}^{t} \\ y^{\prime }\left (t \right )=-x \left (t \right )+3 y \left (t \right )-{\mathrm e}^{t} \end {array}\right ] \]

7812

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=7 x \left (t \right )+5 y \left (t \right )-9 z \left (t \right )-8 \,{\mathrm e}^{-2 t} \\ y^{\prime }\left (t \right )=4 x \left (t \right )+y \left (t \right )+z \left (t \right )+2 \,{\mathrm e}^{5 t} \\ z^{\prime }\left (t \right )=-2 y \left (t \right )+3 z \left (t \right )+{\mathrm e}^{5 t}-3 \,{\mathrm e}^{-2 t} \end {array}\right ] \]

7813

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right )+2 z \left (t \right )+{\mathrm e}^{-t}-3 t \\ y^{\prime }\left (t \right )=3 x \left (t \right )-4 y \left (t \right )+z \left (t \right )+2 \,{\mathrm e}^{-t}+t \\ z^{\prime }\left (t \right )=-2 x \left (t \right )+5 y \left (t \right )+6 z \left (t \right )+2 \,{\mathrm e}^{-t}-t \end {array}\right ] \]

7814

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )-7 y \left (t \right )+4 \sin \left (t \right )+\left (-4+t \right ) {\mathrm e}^{4 t} \\ y^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right )+8 \sin \left (t \right )+\left (1+2 t \right ) {\mathrm e}^{4 t} \end {array}\right ] \]

7815

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )-4 y \left (t \right ) \\ y^{\prime }\left (t \right )=4 x \left (t \right )-7 y \left (t \right ) \end {array}\right ] \]

7816

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right )+5 y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )+4 y \left (t \right ) \end {array}\right ] \]

7817

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )+\frac {y \left (t \right )}{4} \\ y^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

7818

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right ) \end {array}\right ] \]

7819

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+2 y \left (t \right )+z \left (t \right ) \\ y^{\prime }\left (t \right )=6 x \left (t \right )-y \left (t \right ) \\ z^{\prime }\left (t \right )=-x \left (t \right )-2 y \left (t \right )-z \left (t \right ) \end {array}\right ] \]

7820

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+z \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \\ z^{\prime }\left (t \right )=-2 x \left (t \right )-z \left (t \right ) \end {array}\right ] \]

7821

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=4 x \left (t \right )+3 y \left (t \right ) \end {array}\right ] \]

7822

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+3 y \left (t \right ) \end {array}\right ] \]

7823

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-4 x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-\frac {5 x \left (t \right )}{2}+2 y \left (t \right ) \end {array}\right ] \]

7824

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-\frac {5 x \left (t \right )}{2}+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=\frac {3 x \left (t \right )}{4}-2 y \left (t \right ) \end {array}\right ] \]

7825

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=10 x \left (t \right )-5 y \left (t \right ) \\ y^{\prime }\left (t \right )=8 x \left (t \right )-12 y \left (t \right ) \end {array}\right ] \]

7826

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-6 x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-3 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

7827

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right )-z \left (t \right ) \\ y^{\prime }\left (t \right )=2 y \left (t \right ) \\ z^{\prime }\left (t \right )=y \left (t \right )-z \left (t \right ) \end {array}\right ] \]

7828

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )-7 y \left (t \right ) \\ y^{\prime }\left (t \right )=5 x \left (t \right )+10 y \left (t \right )+4 z \left (t \right ) \\ z^{\prime }\left (t \right )=5 y \left (t \right )+2 z \left (t \right ) \end {array}\right ] \]

7829

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right )-x \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+2 y \left (t \right )+z \left (t \right ) \\ z^{\prime }\left (t \right )=3 y \left (t \right )-z \left (t \right ) \end {array}\right ] \]

7830

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+z \left (t \right ) \\ y^{\prime }\left (t \right )=y \left (t \right ) \\ z^{\prime }\left (t \right )=x \left (t \right )+z \left (t \right ) \end {array}\right ] \]

7831

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=\frac {3 x \left (t \right )}{4}-\frac {3 y \left (t \right )}{2}+3 z \left (t \right ) \\ z^{\prime }\left (t \right )=\frac {x \left (t \right )}{8}+\frac {y \left (t \right )}{4}-\frac {z \left (t \right )}{2} \end {array}\right ] \]

7832

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=\frac {3 x \left (t \right )}{4}-\frac {3 y \left (t \right )}{2}+3 z \left (t \right ) \\ z^{\prime }\left (t \right )=\frac {x \left (t \right )}{8}+\frac {y \left (t \right )}{4}-\frac {z \left (t \right )}{2} \end {array}\right ] \]

7833

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )+4 y \left (t \right )+2 z \left (t \right ) \\ y^{\prime }\left (t \right )=4 x \left (t \right )-y \left (t \right )-2 z \left (t \right ) \\ z^{\prime }\left (t \right )=6 z \left (t \right ) \end {array}\right ] \]

7834

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=\frac {x \left (t \right )}{2} \\ y^{\prime }\left (t \right )=x \left (t \right )-\frac {y \left (t \right )}{2} \end {array}\right ] \]
i.c.

7835

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right )+4 z \left (t \right ) \\ y^{\prime }\left (t \right )=2 y \left (t \right ) \\ z^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right )+z \left (t \right ) \end {array}\right ] \]
i.c.

7836

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=\frac {9 x \left (t \right )}{10}+\frac {21 y \left (t \right )}{10}+\frac {16 z \left (t \right )}{5} \\ y^{\prime }\left (t \right )=\frac {7 x \left (t \right )}{10}+\frac {13 y \left (t \right )}{2}+\frac {21 z \left (t \right )}{5} \\ z^{\prime }\left (t \right )=\frac {11 x \left (t \right )}{10}+\frac {17 y \left (t \right )}{10}+\frac {17 z \left (t \right )}{5} \end {array}\right ] \]

7837

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+2 x_{3} \left (t \right )-\frac {9 x_{4} \left (t \right )}{5} \\ x_{2}^{\prime }\left (t \right )=\frac {51 x_{2} \left (t \right )}{10}-x_{4} \left (t \right )+3 x_{5} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )+2 x_{2} \left (t \right )-3 x_{3} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=x_{2} \left (t \right )-\frac {31 x_{3} \left (t \right )}{10}+4 x_{4} \left (t \right ) \\ x_{5}^{\prime }\left (t \right )=-\frac {14 x_{1} \left (t \right )}{5}+\frac {3 x_{4} \left (t \right )}{2}-x_{5} \left (t \right ) \end {array}\right ] \]

7838

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=9 x \left (t \right )-3 y \left (t \right ) \end {array}\right ] \]

7839

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-6 x \left (t \right )+5 y \left (t \right ) \\ y^{\prime }\left (t \right )=-5 x \left (t \right )+4 y \left (t \right ) \end {array}\right ] \]

7840

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )+3 y \left (t \right ) \\ y^{\prime }\left (t \right )=-3 x \left (t \right )+5 y \left (t \right ) \end {array}\right ] \]

7841

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=12 x \left (t \right )-9 y \left (t \right ) \\ y^{\prime }\left (t \right )=4 x \left (t \right ) \end {array}\right ] \]

7842

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )-y \left (t \right )-z \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right )-z \left (t \right ) \\ z^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right )+z \left (t \right ) \end {array}\right ] \]

7843

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )+2 y \left (t \right )+4 z \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )+2 z \left (t \right ) \\ z^{\prime }\left (t \right )=4 x \left (t \right )+2 y \left (t \right )+3 z \left (t \right ) \end {array}\right ] \]

7844

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=5 x \left (t \right )-4 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+2 z \left (t \right ) \\ z^{\prime }\left (t \right )=2 y \left (t \right )+5 z \left (t \right ) \end {array}\right ] \]

7845

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right ) \\ y^{\prime }\left (t \right )=3 y \left (t \right )+z \left (t \right ) \\ z^{\prime }\left (t \right )=z \left (t \right )-y \left (t \right ) \end {array}\right ] \]

7846

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )+2 y \left (t \right )-z \left (t \right ) \\ z^{\prime }\left (t \right )=y \left (t \right ) \end {array}\right ] \]

7847

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=4 y \left (t \right )+z \left (t \right ) \\ z^{\prime }\left (t \right )=4 z \left (t \right ) \end {array}\right ] \]

7848

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+4 y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )+6 y \left (t \right ) \end {array}\right ] \]
i.c.

7849

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=z \left (t \right ) \\ y^{\prime }\left (t \right )=y \left (t \right ) \\ z^{\prime }\left (t \right )=x \left (t \right ) \end {array}\right ] \]
i.c.

7850

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=6 x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=5 x \left (t \right )+2 y \left (t \right ) \end {array}\right ] \]

7851

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

7852

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=5 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )+3 y \left (t \right ) \end {array}\right ] \]

7853

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 x \left (t \right )+5 y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )+6 y \left (t \right ) \end {array}\right ] \]

7854

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 x \left (t \right )-5 y \left (t \right ) \\ y^{\prime }\left (t \right )=5 x \left (t \right )-4 y \left (t \right ) \end {array}\right ] \]

7855

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-8 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-3 y \left (t \right ) \end {array}\right ] \]

7856

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=z \left (t \right ) \\ y^{\prime }\left (t \right )=-z \left (t \right ) \\ z^{\prime }\left (t \right )=y \left (t \right ) \end {array}\right ] \]

7857

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right )+2 z \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )+6 z \left (t \right ) \\ z^{\prime }\left (t \right )=-4 x \left (t \right )-3 z \left (t \right ) \end {array}\right ] \]

7858

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-12 y \left (t \right )-14 z \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+2 y \left (t \right )-3 z \left (t \right ) \\ z^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right )-2 z \left (t \right ) \end {array}\right ] \]
i.c.

7859

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+3 y \left (t \right )-7 \\ y^{\prime }\left (t \right )=-x \left (t \right )-2 y \left (t \right )+5 \end {array}\right ] \]

7860

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=5 x \left (t \right )+9 y \left (t \right )+2 \\ y^{\prime }\left (t \right )=-x \left (t \right )+11 y \left (t \right )+6 \end {array}\right ] \]

8135

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right )+3 y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )+5 y \left (t \right ) \end {array}\right ] \]
i.c.

8136

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )+4 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )-3 y \left (t \right ) \end {array}\right ] \]
i.c.

8137

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )+2 y \left (t \right )+4 \,{\mathrm e}^{t} \end {array}\right ] \]

8138

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=6 x \left (t \right )-7 y \left (t \right )+10 \\ y^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right )-2 \,{\mathrm e}^{t} \end {array}\right ] \]

8209

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=9 x \left (t \right )+4 y \left (t \right ) \\ y^{\prime }\left (t \right )=-6 x \left (t \right )-y \left (t \right ) \\ z^{\prime }\left (t \right )=6 x \left (t \right )+4 y \left (t \right )+3 z \left (t \right ) \end {array}\right ] \]

8210

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-3 y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )+7 y \left (t \right ) \end {array}\right ] \]

8211

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )+5 y \left (t \right ) \end {array}\right ] \]

8212

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=7 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=-4 x \left (t \right )+3 y \left (t \right ) \end {array}\right ] \]

8213

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=y \left (t \right ) \\ z^{\prime }\left (t \right )=z \left (t \right ) \end {array}\right ] \]

8214

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right )-z \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )+2 z \left (t \right ) \\ z^{\prime }\left (t \right )=-x \left (t \right )-2 y \left (t \right )+4 z \left (t \right ) \end {array}\right ] \]

8385

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+2 y \left (t \right )+2 t +1 \\ y^{\prime }\left (t \right )=5 x \left (t \right )+y \left (t \right )+3 t -1 \end {array}\right ] \]

8481

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-x \left (t \right )=t +y \left (t \right ) \\ x^{\prime }\left (t \right )+y^{\prime }\left (t \right )=2 x \left (t \right )+3 y \left (t \right )+{\mathrm e}^{t} \end {array}\right ] \]

8482

\[ {}\left [\begin {array}{c} 2 x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-x \left (t \right )=t +y \left (t \right ) \\ x^{\prime }\left (t \right )+y^{\prime }\left (t \right )=2 x \left (t \right )+3 y \left (t \right )+{\mathrm e}^{t} \end {array}\right ] \]

8483

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-x \left (t \right )=y \left (t \right )+t +\sin \left (t \right )+\cos \left (t \right ) \\ x^{\prime }\left (t \right )+y^{\prime }\left (t \right )=2 x \left (t \right )+3 y \left (t \right )+{\mathrm e}^{t} \end {array}\right ] \]

8584

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=y \left (t \right )-x \left (t \right ) \end {array}\right ] \]

11267

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=a x \left (t \right ) \\ y^{\prime }\left (t \right )=b \end {array}\right ] \]

11268

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=a y \left (t \right ) \\ y^{\prime }\left (t \right )=-a x \left (t \right ) \end {array}\right ] \]

11269

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=a y \left (t \right ) \\ y^{\prime }\left (t \right )=b x \left (t \right ) \end {array}\right ] \]

11270

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=a x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+a y \left (t \right ) \end {array}\right ] \]

11271

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=a x \left (t \right )+b y \left (t \right ) \\ y^{\prime }\left (t \right )=c x \left (t \right )+b y \left (t \right ) \end {array}\right ] \]

11272

\[ {}\left [\begin {array}{c} a x^{\prime }\left (t \right )+b y^{\prime }\left (t \right )=\alpha x \left (t \right )+\beta y \left (t \right ) \\ b x^{\prime }\left (t \right )-a y^{\prime }\left (t \right )=\beta x \left (t \right )-\alpha y \left (t \right ) \end {array}\right ] \]

11273

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )+2 y \left (t \right ) \end {array}\right ] \]

11274

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+3 x \left (t \right )+4 y \left (t \right )=0 \\ y^{\prime }\left (t \right )+2 x \left (t \right )+5 y \left (t \right )=0 \end {array}\right ] \]

11275

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-5 x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-7 y \left (t \right ) \end {array}\right ] \]

11276

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=a_{1} x \left (t \right )+b_{1} y \left (t \right )+c_{1} \\ y^{\prime }\left (t \right )=a_{2} x \left (t \right )+b_{2} y \left (t \right )+c_{2} \end {array}\right ] \]

11277

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+2 y \left (t \right )=3 t \\ y^{\prime }\left (t \right )-2 x \left (t \right )=4 \end {array}\right ] \]

11278

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+y \left (t \right )-t^{2}+6 t +1=0 \\ y^{\prime }\left (t \right )-x \left (t \right )=-3 t^{2}+3 t +1 \end {array}\right ] \]

11279

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+3 x \left (t \right )-y \left (t \right )={\mathrm e}^{2 t} \\ y^{\prime }\left (t \right )+x \left (t \right )+5 y \left (t \right )={\mathrm e}^{t} \end {array}\right ] \]

11280

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+2 x \left (t \right )+y^{\prime }\left (t \right )+y \left (t \right )={\mathrm e}^{2 t}+t \\ x^{\prime }\left (t \right )-x \left (t \right )+y^{\prime }\left (t \right )+3 y \left (t \right )={\mathrm e}^{t}-1 \end {array}\right ] \]

11281

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-y \left (t \right )={\mathrm e}^{t} \\ 2 x^{\prime }\left (t \right )+y^{\prime }\left (t \right )+2 y \left (t \right )=\cos \left (t \right ) \end {array}\right ] \]

11282

\[ {}\left [\begin {array}{c} 4 x^{\prime }\left (t \right )+9 y^{\prime }\left (t \right )+2 x \left (t \right )+31 y \left (t \right )={\mathrm e}^{t} \\ 3 x^{\prime }\left (t \right )+7 y^{\prime }\left (t \right )+x \left (t \right )+24 y \left (t \right )=3 \end {array}\right ] \]

11283

\[ {}\left [\begin {array}{c} 4 x^{\prime }\left (t \right )+9 y^{\prime }\left (t \right )+11 x \left (t \right )+31 y \left (t \right )={\mathrm e}^{t} \\ 3 x^{\prime }\left (t \right )+7 y^{\prime }\left (t \right )+8 x \left (t \right )+24 y \left (t \right )={\mathrm e}^{2 t} \end {array}\right ] \]

11284

\[ {}\left [\begin {array}{c} 4 x^{\prime }\left (t \right )+9 y^{\prime }\left (t \right )+44 x \left (t \right )+49 y \left (t \right )=t \\ 3 x^{\prime }\left (t \right )+7 y^{\prime }\left (t \right )+34 x \left (t \right )+38 y \left (t \right )={\mathrm e}^{t} \end {array}\right ] \]

11285

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right ) f \left (t \right )+y \left (t \right ) g \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right ) g \left (t \right )+y \left (t \right ) f \left (t \right ) \end {array}\right ] \]

11286

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+\left (a x \left (t \right )+b y \left (t \right )\right ) f \left (t \right )=g \left (t \right ) \\ y^{\prime }\left (t \right )+\left (c x \left (t \right )+d y \left (t \right )\right ) f \left (t \right )=h \left (t \right ) \end {array}\right ] \]

11287

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right ) \cos \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right ) {\mathrm e}^{-\sin \left (t \right )} \end {array}\right ] \]

11288

\[ {}\left [\begin {array}{c} t x^{\prime }\left (t \right )+y \left (t \right )=0 \\ y^{\prime }\left (t \right ) t +x \left (t \right )=0 \end {array}\right ] \]

11289

\[ {}\left [\begin {array}{c} t x^{\prime }\left (t \right )+2 x \left (t \right )=t \\ y^{\prime }\left (t \right ) t -\left (t +2\right ) x \left (t \right )-t y \left (t \right )=-t \end {array}\right ] \]

11290

\[ {}\left [\begin {array}{c} t x^{\prime }\left (t \right )+2 x \left (t \right )-2 y \left (t \right )=t \\ y^{\prime }\left (t \right ) t +x \left (t \right )+5 y \left (t \right )=t^{2} \end {array}\right ] \]

11291

\[ {}\left [\begin {array}{c} t^{2} \left (1-\sin \left (t \right )\right ) x^{\prime }\left (t \right )=t \left (1-2 \sin \left (t \right )\right ) x \left (t \right )+t^{2} y \left (t \right ) \\ t^{2} \left (1-\sin \left (t \right )\right ) y^{\prime }\left (t \right )=\left (-\sin \left (t \right )+\cos \left (t \right ) t \right ) x \left (t \right )+t \left (1-\cos \left (t \right ) t \right ) y \left (t \right ) \end {array}\right ] \]

11292

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+y^{\prime }\left (t \right )+y \left (t \right )=f \left (t \right ) \\ x^{\prime \prime }\left (t \right )+y^{\prime \prime }\left (t \right )+y^{\prime }\left (t \right )+x \left (t \right )+y \left (t \right )=g \left (t \right ) \end {array}\right ] \]

11293

\[ {}\left [\begin {array}{c} 2 x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-3 x \left (t \right )=0 \\ x^{\prime \prime }\left (t \right )+y^{\prime }\left (t \right )-2 y \left (t \right )={\mathrm e}^{2 t} \end {array}\right ] \]

11294

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )-y^{\prime }\left (t \right )+x \left (t \right )=2 t \\ x^{\prime \prime }\left (t \right )+y^{\prime }\left (t \right )-9 x \left (t \right )+3 y \left (t \right )=\sin \left (2 t \right ) \end {array}\right ] \]

11295

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )-x \left (t \right )+2 y \left (t \right )=0 \\ x^{\prime \prime }\left (t \right )-2 y^{\prime }\left (t \right )=2 t -\cos \left (2 t \right ) \end {array}\right ] \]

11296

\[ {}\left [\begin {array}{c} t x^{\prime }\left (t \right )-y^{\prime }\left (t \right ) t -2 y \left (t \right )=0 \\ t x^{\prime \prime }\left (t \right )+2 x^{\prime }\left (t \right )+x \left (t \right ) t =0 \end {array}\right ] \]

11297

\[ {}\left [\begin {array}{c} x^{\prime \prime }\left (t \right )+a y \left (t \right )=0 \\ y^{\prime \prime }\left (t \right )-a^{2} y \left (t \right )=0 \end {array}\right ] \]

11298

\[ {}\left [\begin {array}{c} x^{\prime \prime }\left (t \right )=a x \left (t \right )+b y \left (t \right ) \\ y^{\prime \prime }\left (t \right )=c x \left (t \right )+d y \left (t \right ) \end {array}\right ] \]

11299

\[ {}\left [\begin {array}{c} x^{\prime \prime }\left (t \right )=a_{1} x \left (t \right )+b_{1} y \left (t \right )+c_{1} \\ y^{\prime \prime }\left (t \right )=a_{2} x \left (t \right )+b_{2} y \left (t \right )+c_{2} \end {array}\right ] \]

11300

\[ {}\left [\begin {array}{c} x^{\prime \prime }\left (t \right )+x \left (t \right )+y \left (t \right )=-5 \\ y^{\prime \prime }\left (t \right )-4 x \left (t \right )-3 y \left (t \right )=-3 \end {array}\right ] \]

11301

\[ {}\left [\begin {array}{c} x^{\prime \prime }\left (t \right )=\left (3 \cos \left (a t +b \right )^{2}-1\right ) c^{2} x \left (t \right )+\frac {3 c^{2} y \left (t \right ) \sin \left (2 a t b \right )}{2} \\ y^{\prime \prime }\left (t \right )=\left (3 \sin \left (a t +b \right )^{2}-1\right ) c^{2} y \left (t \right )+\frac {3 c^{2} x \left (t \right ) \sin \left (2 a t b \right )}{2} \end {array}\right ] \]

11302

\[ {}\left [\begin {array}{c} x^{\prime \prime }\left (t \right )+6 x \left (t \right )+7 y \left (t \right )=0 \\ y^{\prime \prime }\left (t \right )+3 x \left (t \right )+2 y \left (t \right )=2 t \end {array}\right ] \]

11303

\[ {}\left [\begin {array}{c} x^{\prime \prime }\left (t \right )-a y^{\prime }\left (t \right )+b x \left (t \right )=0 \\ y^{\prime \prime }\left (t \right )+a x^{\prime }\left (t \right )+b y \left (t \right )=0 \end {array}\right ] \]

11304

\[ {}\left [\begin {array}{c} a_{1} x^{\prime \prime }\left (t \right )+b_{1} x^{\prime }\left (t \right )+c_{1} x \left (t \right )-A y^{\prime }\left (t \right )=B \,{\mathrm e}^{i \omega t} \\ a_{2} y^{\prime \prime }\left (t \right )+b_{2} y^{\prime }\left (t \right )+c_{2} y \left (t \right )+A x^{\prime }\left (t \right )=0 \end {array}\right ] \]

11305

\[ {}\left [\begin {array}{c} x^{\prime \prime }\left (t \right )+a \left (x^{\prime }\left (t \right )-y^{\prime }\left (t \right )\right )+b_{1} x \left (t \right )=c_{1} {\mathrm e}^{i \omega t} \\ y^{\prime \prime }\left (t \right )+a \left (y^{\prime }\left (t \right )-x^{\prime }\left (t \right )\right )+b_{2} y \left (t \right )=c_{2} {\mathrm e}^{i \omega t} \end {array}\right ] \]

11306

\[ {}\left [\begin {array}{c} \operatorname {a11} x^{\prime \prime }\left (t \right )+\operatorname {b11} x^{\prime }\left (t \right )+\operatorname {c11} x \left (t \right )+\operatorname {a12} y^{\prime \prime }\left (t \right )+\operatorname {b12} y^{\prime }\left (t \right )+\operatorname {c12} y \left (t \right )=0 \\ \operatorname {a21} x^{\prime \prime }\left (t \right )+\operatorname {b21} x^{\prime }\left (t \right )+\operatorname {c21} x \left (t \right )+\operatorname {a22} y^{\prime \prime }\left (t \right )+\operatorname {b22} y^{\prime }\left (t \right )+\operatorname {c22} y \left (t \right )=0 \end {array}\right ] \]

11307

\[ {}\left [\begin {array}{c} x^{\prime \prime }\left (t \right )-2 x^{\prime }\left (t \right )-y^{\prime }\left (t \right )+y \left (t \right )=0 \\ y^{\prime \prime \prime }\left (t \right )-y^{\prime \prime }\left (t \right )+2 x^{\prime }\left (t \right )-x \left (t \right )=t \end {array}\right ] \]

11308

\[ {}\left [\begin {array}{c} x^{\prime \prime }\left (t \right )+y^{\prime \prime }\left (t \right )+y^{\prime }\left (t \right )=\sinh \left (2 t \right ) \\ 2 x^{\prime \prime }\left (t \right )+y^{\prime \prime }\left (t \right )=2 t \end {array}\right ] \]

11309

\[ {}\left [\begin {array}{c} x^{\prime \prime }\left (t \right )-x^{\prime }\left (t \right )+y^{\prime }\left (t \right )=0 \\ x^{\prime \prime }\left (t \right )+y^{\prime \prime }\left (t \right )-x \left (t \right )=0 \end {array}\right ] \]

11310

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )-2 y \left (t \right ) \\ z^{\prime }\left (t \right )=2 y \left (t \right )+3 z \left (t \right ) \end {array}\right ] \]

11311

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 x \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right ) \\ z^{\prime }\left (t \right )=x \left (t \right )-4 y \left (t \right )+z \left (t \right ) \end {array}\right ] \]

11312

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right )-z \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \\ z^{\prime }\left (t \right )=x \left (t \right )+z \left (t \right ) \end {array}\right ] \]

11313

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )-y \left (t \right )+z \left (t \right )=0 \\ y^{\prime }\left (t \right )-x \left (t \right )-y \left (t \right )=t \\ z^{\prime }\left (t \right )-x \left (t \right )-z \left (t \right )=t \end {array}\right ] \]

11314

\[ {}\left [\begin {array}{c} a x^{\prime }\left (t \right )=b c \left (y \left (t \right )-z \left (t \right )\right ) \\ b y^{\prime }\left (t \right )=c a \left (z \left (t \right )-x \left (t \right )\right ) \\ c z^{\prime }\left (t \right )=a b \left (x \left (t \right )-y \left (t \right )\right ) \end {array}\right ] \]

11315

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=c y \left (t \right )-b z \left (t \right ) \\ y^{\prime }\left (t \right )=a z \left (t \right )-c x \left (t \right ) \\ z^{\prime }\left (t \right )=b x \left (t \right )-a y \left (t \right ) \end {array}\right ] \]

11316

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=h \left (t \right ) y \left (t \right )-g \left (t \right ) z \left (t \right ) \\ y^{\prime }\left (t \right )=f \left (t \right ) z \left (t \right )-h \left (t \right ) x \left (t \right ) \\ z^{\prime }\left (t \right )=x \left (t \right ) g \left (t \right )-y \left (t \right ) f \left (t \right ) \end {array}\right ] \]

11317

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right )-z \left (t \right ) \\ y^{\prime }\left (t \right )=y \left (t \right )+z \left (t \right )-x \left (t \right ) \\ z^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right )+z \left (t \right ) \end {array}\right ] \]

11318

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 x \left (t \right )+48 y \left (t \right )-28 z \left (t \right ) \\ y^{\prime }\left (t \right )=-4 x \left (t \right )+40 y \left (t \right )-22 z \left (t \right ) \\ z^{\prime }\left (t \right )=-6 x \left (t \right )+57 y \left (t \right )-31 z \left (t \right ) \end {array}\right ] \]

11319

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=6 x \left (t \right )-72 y \left (t \right )+44 z \left (t \right ) \\ y^{\prime }\left (t \right )=4 x \left (t \right )-4 y \left (t \right )+26 z \left (t \right ) \\ z^{\prime }\left (t \right )=6 x \left (t \right )-63 y \left (t \right )+38 z \left (t \right ) \end {array}\right ] \]

11320

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=a x \left (t \right )+g y \left (t \right )+\beta z \left (t \right ) \\ y^{\prime }\left (t \right )=g x \left (t \right )+b y \left (t \right )+\alpha z \left (t \right ) \\ z^{\prime }\left (t \right )=\beta x \left (t \right )+\alpha y \left (t \right )+c z \left (t \right ) \end {array}\right ] \]

11321

\[ {}\left [\begin {array}{c} t x^{\prime }\left (t \right )=2 x \left (t \right )-t \\ t^{3} y^{\prime }\left (t \right )=-x \left (t \right )+t^{2} y \left (t \right )+t \\ t^{4} z^{\prime }\left (t \right )=-x \left (t \right )-t^{2} y \left (t \right )+t^{3} z \left (t \right )+t \end {array}\right ] \]

11322

\[ {}\left [\begin {array}{c} a t x^{\prime }\left (t \right )=b c \left (y \left (t \right )-z \left (t \right )\right ) \\ b t y^{\prime }\left (t \right )=c a \left (z \left (t \right )-x \left (t \right )\right ) \\ c t z^{\prime }\left (t \right )=a b \left (x \left (t \right )-y \left (t \right )\right ) \end {array}\right ] \]

11323

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=a x_{2} \left (t \right )+b x_{3} \left (t \right ) \cos \left (c t \right )+b x_{4} \left (t \right ) \sin \left (c t \right ) \\ x_{2}^{\prime }\left (t \right )=-a x_{1} \left (t \right )+b x_{3} \left (t \right ) \sin \left (c t \right )-b x_{4} \left (t \right ) \cos \left (c t \right ) \\ x_{3}^{\prime }\left (t \right )=-b x_{1} \left (t \right ) \cos \left (c t \right )-b x_{2} \left (t \right ) \sin \left (c t \right )+a x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=-b x_{1} \left (t \right ) \sin \left (c t \right )+b x_{2} \left (t \right ) \cos \left (c t \right )-a x_{3} \left (t \right ) \end {array}\right ] \]

11324

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right ) \left (x \left (t \right )+y \left (t \right )\right ) \\ y^{\prime }\left (t \right )=y \left (t \right ) \left (x \left (t \right )+y \left (t \right )\right ) \end {array}\right ] \]

11325

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=\left (a y \left (t \right )+b \right ) x \left (t \right ) \\ y^{\prime }\left (t \right )=\left (c x \left (t \right )+d \right ) y \left (t \right ) \end {array}\right ] \]

11326

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right ) \left (a \left (p x \left (t \right )+q y \left (t \right )\right )+\alpha \right ) \\ y^{\prime }\left (t \right )=y \left (t \right ) \left (\beta +b \left (p x \left (t \right )+q y \left (t \right )\right )\right ) \end {array}\right ] \]

11327

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=h \left (a -x \left (t \right )\right ) \left (c -x \left (t \right )-y \left (t \right )\right ) \\ y^{\prime }\left (t \right )=k \left (b -y \left (t \right )\right ) \left (c -x \left (t \right )-y \left (t \right )\right ) \end {array}\right ] \]

11328

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right )^{2}-\cos \left (x \left (t \right )\right ) \\ y^{\prime }\left (t \right )=-y \left (t \right ) \sin \left (x \left (t \right )\right ) \end {array}\right ] \]

11329

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right ) y \left (t \right )^{2}+x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )^{2} y \left (t \right )-x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

11330

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right )-x \left (t \right ) \left (x \left (t \right )^{2}+y \left (t \right )^{2}\right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )+y \left (t \right )-y \left (t \right ) \left (x \left (t \right )^{2}+y \left (t \right )^{2}\right ) \end {array}\right ] \]

11331

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-y \left (t \right )+x \left (t \right ) \left (x \left (t \right )^{2}+y \left (t \right )^{2}-1\right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \left (x \left (t \right )^{2}+y \left (t \right )^{2}-1\right ) \end {array}\right ] \]

11332

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-y \left (t \right ) \left (x \left (t \right )^{2}+y \left (t \right )^{2}\right ) \\ y^{\prime }\left (t \right )=\left \{\begin {array}{cc} x \left (t \right )^{2}+y \left (t \right )^{2} & 2 x \left (t \right )\le x \left (t \right )^{2}+y \left (t \right )^{2} \\ \left (\frac {x \left (t \right )}{2}-\frac {y \left (t \right )^{2}}{2 x \left (t \right )}\right ) \left (x \left (t \right )^{2}+y \left (t \right )^{2}\right ) & \operatorname {otherwise} \end {array}\right . \end {array}\right ] \]

11333

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-y \left (t \right )+\left (\left \{\begin {array}{cc} x \left (t \right ) \left (x \left (t \right )^{2}+y \left (t \right )^{2}-1\right ) \sin \left (\frac {1}{x \left (t \right )^{2}+y \left (t \right )^{2}}\right ) & x \left (t \right )^{2}+y \left (t \right )^{2}\neq 1 \\ 0 & \operatorname {otherwise} \end {array}\right .\right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+\left (\left \{\begin {array}{cc} y \left (t \right ) \left (x \left (t \right )^{2}+y \left (t \right )^{2}-1\right ) \sin \left (\frac {1}{x \left (t \right )^{2}+y \left (t \right )^{2}}\right ) & x \left (t \right )^{2}+y \left (t \right )^{2}\neq 1 \\ 0 & \operatorname {otherwise} \end {array}\right .\right ) \end {array}\right ] \]

11334

\[ {}\left [\begin {array}{c} \left (t^{2}+1\right ) x^{\prime }\left (t \right )=-x \left (t \right ) t +y \left (t \right ) \\ \left (t^{2}+1\right ) y^{\prime }\left (t \right )=-x \left (t \right )-t y \left (t \right ) \end {array}\right ] \]

11335

\[ {}\left [\begin {array}{c} \left (x \left (t \right )^{2}+y \left (t \right )^{2}-t^{2}\right ) x^{\prime }\left (t \right )=-2 x \left (t \right ) t \\ \left (x \left (t \right )^{2}+y \left (t \right )^{2}-t^{2}\right ) y^{\prime }\left (t \right )=-2 t y \left (t \right ) \end {array}\right ] \]

11336

\[ {}\left [\begin {array}{c} {x^{\prime }\left (t \right )}^{2}+t x^{\prime }\left (t \right )+a y^{\prime }\left (t \right )-x \left (t \right )=0 \\ x^{\prime }\left (t \right ) y^{\prime }\left (t \right )+y^{\prime }\left (t \right ) t -y \left (t \right )=0 \end {array}\right ] \]

11337

\[ {}\left [\begin {array}{c} x \left (t \right )=t x^{\prime }\left (t \right )+f \left (x^{\prime }\left (t \right ), y^{\prime }\left (t \right )\right ) \\ y \left (t \right )=y^{\prime }\left (t \right ) t +g \left (x^{\prime }\left (t \right ), y^{\prime }\left (t \right )\right ) \end {array}\right ] \]

11338

\[ {}\left [\begin {array}{c} x^{\prime \prime }\left (t \right )=a \,{\mathrm e}^{2 x \left (t \right )}-{\mathrm e}^{-x \left (t \right )}+{\mathrm e}^{-2 x \left (t \right )} \cos \left (y \left (t \right )\right )^{2} \\ y^{\prime \prime }\left (t \right )={\mathrm e}^{-2 x \left (t \right )} \sin \left (y \left (t \right )\right ) \cos \left (y \left (t \right )\right )-\frac {\sin \left (y \left (t \right )\right )}{\cos \left (y \left (t \right )\right )^{3}} \end {array}\right ] \]

11339

\[ {}\left [\begin {array}{c} x^{\prime \prime }\left (t \right )=\frac {k x \left (t \right )}{\left (x \left (t \right )^{2}+y \left (t \right )^{2}\right )^{{3}/{2}}} \\ y^{\prime \prime }\left (t \right )=\frac {k y \left (t \right )}{\left (x \left (t \right )^{2}+y \left (t \right )^{2}\right )^{{3}/{2}}} \end {array}\right ] \]

11340

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right )-z \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )^{2}+y \left (t \right ) \\ z^{\prime }\left (t \right )=x \left (t \right )^{2}+z \left (t \right ) \end {array}\right ] \]

11341

\[ {}\left [\begin {array}{c} a x^{\prime }\left (t \right )=\left (b -c \right ) y \left (t \right ) z \left (t \right ) \\ b y^{\prime }\left (t \right )=\left (c -a \right ) z \left (t \right ) x \left (t \right ) \\ c z^{\prime }\left (t \right )=\left (-b +a \right ) x \left (t \right ) y \left (t \right ) \end {array}\right ] \]

11342

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right ) \left (y \left (t \right )-z \left (t \right )\right ) \\ y^{\prime }\left (t \right )=y \left (t \right ) \left (z \left (t \right )-x \left (t \right )\right ) \\ z^{\prime }\left (t \right )=z \left (t \right ) \left (x \left (t \right )-y \left (t \right )\right ) \end {array}\right ] \]

11343

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+y^{\prime }\left (t \right )=x \left (t \right ) y \left (t \right ) \\ y^{\prime }\left (t \right )+z^{\prime }\left (t \right )=y \left (t \right ) z \left (t \right ) \\ x^{\prime }\left (t \right )+z^{\prime }\left (t \right )=x \left (t \right ) z \left (t \right ) \end {array}\right ] \]

11344

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=\frac {x \left (t \right )^{2}}{2}-\frac {y \left (t \right )}{24} \\ y^{\prime }\left (t \right )=2 x \left (t \right ) y \left (t \right )-3 z \left (t \right ) \\ z^{\prime }\left (t \right )=3 x \left (t \right ) z \left (t \right )-\frac {y \left (t \right )^{2}}{6} \end {array}\right ] \]

11345

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right ) \left (y \left (t \right )^{2}-z \left (t \right )^{2}\right ) \\ y^{\prime }\left (t \right )=y \left (t \right ) \left (z \left (t \right )^{2}-x \left (t \right )^{2}\right ) \\ z^{\prime }\left (t \right )=z \left (t \right ) \left (x \left (t \right )^{2}-y \left (t \right )^{2}\right ) \end {array}\right ] \]

11346

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right ) \left (y \left (t \right )^{2}-z \left (t \right )^{2}\right ) \\ y^{\prime }\left (t \right )=-y \left (t \right ) \left (z \left (t \right )^{2}+x \left (t \right )^{2}\right ) \\ z^{\prime }\left (t \right )=z \left (t \right ) \left (x \left (t \right )^{2}+y \left (t \right )^{2}\right ) \end {array}\right ] \]

11347

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right ) y \left (t \right )^{2}+x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )^{2} y \left (t \right )-x \left (t \right )-y \left (t \right ) \\ z^{\prime }\left (t \right )=y \left (t \right )^{2}-x \left (t \right )^{2} \end {array}\right ] \]

11348

\[ {}\left [\begin {array}{c} \left (x \left (t \right )-y \left (t \right )\right ) \left (x \left (t \right )-z \left (t \right )\right ) x^{\prime }\left (t \right )=f \left (t \right ) \\ \left (y \left (t \right )-x \left (t \right )\right ) \left (y \left (t \right )-z \left (t \right )\right ) y^{\prime }\left (t \right )=f \left (t \right ) \\ \left (z \left (t \right )-x \left (t \right )\right ) \left (z \left (t \right )-y \left (t \right )\right ) z^{\prime }\left (t \right )=f \left (t \right ) \end {array}\right ] \]

11349

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right ) \sin \left (x_{2} \left (t \right )\right )=x_{4} \left (t \right ) \sin \left (x_{3} \left (t \right )\right )+x_{5} \left (t \right ) \cos \left (x_{3} \left (t \right )\right ) \\ x_{2}^{\prime }\left (t \right )=x_{4} \left (t \right ) \cos \left (x_{3} \left (t \right )\right )-x_{5} \left (t \right ) \sin \left (x_{3} \left (t \right )\right ) \\ x_{3}^{\prime }\left (t \right )+x_{1}^{\prime }\left (t \right ) \cos \left (x_{2} \left (t \right )\right )=a \\ x_{4}^{\prime }\left (t \right )-\left (1-\lambda \right ) a x_{5} \left (t \right )=-m \sin \left (x_{2} \left (t \right )\right ) \cos \left (x_{3} \left (t \right )\right ) \\ x_{5}^{\prime }\left (t \right )+\left (1-\lambda \right ) a x_{4} \left (t \right )=m \sin \left (x_{2} \left (t \right )\right ) \sin \left (x_{3} \left (t \right )\right ) \end {array}\right ] \]

12436

\[ {}\left [\begin {array}{c} 3 x^{\prime }\left (t \right )+3 x \left (t \right )+2 y \left (t \right )={\mathrm e}^{t} \\ 4 x \left (t \right )-3 y^{\prime }\left (t \right )+3 y \left (t \right )=3 t \end {array}\right ] \]

12619

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right ) \end {array}\right ] \]

12620

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-4 x \left (t \right ) \end {array}\right ] \]

12621

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 x \left (t \right ) \\ y^{\prime }\left (t \right )=2 y \left (t \right ) \end {array}\right ] \]

12622

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 y \left (t \right ) \end {array}\right ] \]

12623

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+2 y \left (t \right ) \end {array}\right ] \]

12624

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

12625

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right ) \end {array}\right ] \]

12626

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

12627

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right )-3 y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )+4 y \left (t \right ) \end {array}\right ] \]

12628

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

12629

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right ) \end {array}\right ] \]

12630

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=-4 y \left (t \right ) \end {array}\right ] \]

12631

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )+4 y \left (t \right ) \end {array}\right ] \]

12632

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-6 y \left (t \right ) \\ y^{\prime }\left (t \right )=6 y \left (t \right ) \end {array}\right ] \]

12633

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+3 y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )-14 \end {array}\right ] \]

12634

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 y \left (t \right )-3 x \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+2 y \left (t \right )-1 \end {array}\right ] \]

12635

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right )-x \left (t \right ) \\ y^{\prime }\left (t \right )=-3 y \left (t \right ) \end {array}\right ] \]

12636

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )-4 y \left (t \right ) \end {array}\right ] \]

12637

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right )-x \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]

12638

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=3 y \left (t \right )-3 x \left (t \right ) \end {array}\right ] \]

12639

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )-4 y \left (t \right ) \end {array}\right ] \]
i.c.

12640

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=5 x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]
i.c.

12641

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=-3 y \left (t \right ) \end {array}\right ] \]

12642

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+3 y \left (t \right ) \end {array}\right ] \]

12643

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )+2 y \left (t \right ) \end {array}\right ] \]

12644

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 x \left (t \right )+4 y \left (t \right ) \\ y^{\prime }\left (t \right )=-3 y \left (t \right ) \end {array}\right ] \]

12645

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=6 x \left (t \right )+3 y \left (t \right ) \end {array}\right ] \]

12646

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-5 x \left (t \right )+3 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )-10 y \left (t \right ) \end {array}\right ] \]

12647

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right ) \\ y^{\prime }\left (t \right )=2 y \left (t \right ) \end {array}\right ] \]

12648

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=4 x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

12649

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=5 x \left (t \right )-4 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

12650

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=9 y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right ) \end {array}\right ] \]

12651

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right ) \end {array}\right ] \]
i.c.

12652

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )+4 y \left (t \right ) \end {array}\right ] \]

12653

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )-y \left (t \right )+1 \\ y^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right )+2 \end {array}\right ] \]
i.c.

12654

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-5 x \left (t \right )+3 y \left (t \right )+{\mathrm e}^{-t} \\ y^{\prime }\left (t \right )=2 x \left (t \right )-10 y \left (t \right ) \end {array}\right ] \]

12655

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )+\cos \left (w t \right ) \end {array}\right ] \]

12656

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )+2 y \left (t \right )+3 \\ y^{\prime }\left (t \right )=7 x \left (t \right )+5 y \left (t \right )+2 t \end {array}\right ] \]

12657

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-3 y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )+7 y \left (t \right ) \end {array}\right ] \]

13016

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-2 x \left (t \right )-4 y \left (t \right )={\mathrm e}^{t} \\ x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-y \left (t \right )={\mathrm e}^{4 t} \end {array}\right ] \]

13017

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-x \left (t \right )=-2 t \\ x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-3 x \left (t \right )-y \left (t \right )=t^{2} \end {array}\right ] \]

13018

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-x \left (t \right )-3 y \left (t \right )={\mathrm e}^{t} \\ x^{\prime }\left (t \right )+y^{\prime }\left (t \right )+x \left (t \right )={\mathrm e}^{3 t} \end {array}\right ] \]

13019

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-x \left (t \right )-2 y \left (t \right )=2 \,{\mathrm e}^{t} \\ x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-3 x \left (t \right )-4 y \left (t \right )={\mathrm e}^{2 t} \end {array}\right ] \]

13020

\[ {}\left [\begin {array}{c} 2 x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-x \left (t \right )-y \left (t \right )={\mathrm e}^{-t} \\ x^{\prime }\left (t \right )+2 x \left (t \right )+y^{\prime }\left (t \right )+y \left (t \right )={\mathrm e}^{t} \end {array}\right ] \]

13021

\[ {}\left [\begin {array}{c} 2 x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-3 x \left (t \right )-y \left (t \right )=t \\ x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-4 x \left (t \right )-y \left (t \right )={\mathrm e}^{t} \end {array}\right ] \]

13022

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-x \left (t \right )-6 y \left (t \right )={\mathrm e}^{3 t} \\ x^{\prime }\left (t \right )+2 y^{\prime }\left (t \right )-2 x \left (t \right )-6 y \left (t \right )=t \end {array}\right ] \]

13023

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-x \left (t \right )-3 y \left (t \right )=3 t \\ x^{\prime }\left (t \right )+2 y^{\prime }\left (t \right )-2 x \left (t \right )-3 y \left (t \right )=1 \end {array}\right ] \]

13024

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+y^{\prime }\left (t \right )+2 y \left (t \right )=\sin \left (t \right ) \\ x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-x \left (t \right )-y \left (t \right )=0 \end {array}\right ] \]

13025

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )-y^{\prime }\left (t \right )-2 x \left (t \right )+4 y \left (t \right )=t \\ x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-x \left (t \right )-y \left (t \right )=1 \end {array}\right ] \]

13026

\[ {}\left [\begin {array}{c} 2 x^{\prime }\left (t \right )+y^{\prime }\left (t \right )+x \left (t \right )+5 y \left (t \right )=4 t \\ x^{\prime }\left (t \right )+y^{\prime }\left (t \right )+2 x \left (t \right )+2 y \left (t \right )=2 \end {array}\right ] \]

13027

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-x \left (t \right )+5 y \left (t \right )=t^{2} \\ x^{\prime }\left (t \right )+2 y^{\prime }\left (t \right )-2 x \left (t \right )+4 y \left (t \right )=1+2 t \end {array}\right ] \]

13028

\[ {}\left [\begin {array}{c} 2 x^{\prime }\left (t \right )+y^{\prime }\left (t \right )+x \left (t \right )+y \left (t \right )=t^{2}+4 t \\ x^{\prime }\left (t \right )+y^{\prime }\left (t \right )+2 x \left (t \right )+2 y \left (t \right )=2 t^{2}-2 t \end {array}\right ] \]

13029

\[ {}\left [\begin {array}{c} 3 x^{\prime }\left (t \right )+2 y^{\prime }\left (t \right )-x \left (t \right )+y \left (t \right )=t -1 \\ x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-x \left (t \right )=t +2 \end {array}\right ] \]

13030

\[ {}\left [\begin {array}{c} 2 x^{\prime }\left (t \right )+4 y^{\prime }\left (t \right )+x \left (t \right )-y \left (t \right )=3 \,{\mathrm e}^{t} \\ x^{\prime }\left (t \right )+y^{\prime }\left (t \right )+2 x \left (t \right )+2 y \left (t \right )={\mathrm e}^{t} \end {array}\right ] \]

13031

\[ {}\left [\begin {array}{c} 2 x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-x \left (t \right )-y \left (t \right )=-2 t \\ x^{\prime }\left (t \right )+y^{\prime }\left (t \right )+x \left (t \right )-y \left (t \right )=t^{2} \end {array}\right ] \]

13032

\[ {}\left [\begin {array}{c} 2 x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-x \left (t \right )-y \left (t \right )=1 \\ x^{\prime }\left (t \right )+y^{\prime }\left (t \right )+2 x \left (t \right )-y \left (t \right )=t \end {array}\right ] \]

13033

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )+4 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]
i.c.

13034

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=5 x \left (t \right )+3 y \left (t \right ) \\ y^{\prime }\left (t \right )=4 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]
i.c.

13035

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=5 x \left (t \right )+2 y \left (t \right )+5 t \\ y^{\prime }\left (t \right )=3 x \left (t \right )+4 y \left (t \right )+17 t \end {array}\right ] \]

13036

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=5 x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=4 x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

13037

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=5 x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

13038

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right )+7 y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )+2 y \left (t \right ) \end {array}\right ] \]
i.c.

13039

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=7 x \left (t \right )+4 y \left (t \right ) \end {array}\right ] \]
i.c.

13054

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right )-z \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )+3 y \left (t \right )-4 z \left (t \right ) \\ z^{\prime }\left (t \right )=4 x \left (t \right )+y \left (t \right )-4 z \left (t \right ) \end {array}\right ] \]

13055

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right )-z \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+3 y \left (t \right )+z \left (t \right ) \\ z^{\prime }\left (t \right )=-3 x \left (t \right )-6 y \left (t \right )+6 z \left (t \right ) \end {array}\right ] \]

13098

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+3 y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

13099

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+2 y \left (t \right ) \end {array}\right ] \]

13100

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )+4 y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )+2 y \left (t \right ) \end {array}\right ] \]

13101

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+5 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]

13102

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )-4 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]

13103

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=4 x \left (t \right )+5 y \left (t \right ) \end {array}\right ] \]

13104

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+5 y \left (t \right ) \end {array}\right ] \]

13105

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+7 y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )+5 y \left (t \right ) \end {array}\right ] \]

13106

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

13107

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=a x \left (t \right )+b y \left (t \right ) \\ y^{\prime }\left (t \right )=c x \left (t \right )+d y \left (t \right ) \end {array}\right ] \]

13108

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 x \left (t \right )-4 y \left (t \right )-x \left (t \right ) \left (x \left (t \right )^{2}+y \left (t \right )^{2}\right ) \\ y^{\prime }\left (t \right )=4 x \left (t \right )+4 y \left (t \right )-y \left (t \right ) \left (x \left (t \right )^{2}+y \left (t \right )^{2}\right ) \end {array}\right ] \]

13109

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right )+\frac {x \left (t \right ) \left (1-x \left (t \right )^{2}-y \left (t \right )^{2}\right )}{\sqrt {x \left (t \right )^{2}+y \left (t \right )^{2}}} \\ y^{\prime }\left (t \right )=-x \left (t \right )+\frac {y \left (t \right ) \left (1-x \left (t \right )^{2}-y \left (t \right )^{2}\right )}{\sqrt {x \left (t \right )^{2}+y \left (t \right )^{2}}} \end {array}\right ] \]

13115

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-x \left (t \right )^{2} \\ y^{\prime }\left (t \right )=2 y \left (t \right )-y \left (t \right )^{2} \end {array}\right ] \]

13229

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right )+t^{2} \end {array}\right ] \]
i.c.

13230

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-4 y \left (t \right )+\cos \left (2 t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \end {array}\right ] \]
i.c.

13231

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=6 x \left (t \right )+3 y \left (t \right )+{\mathrm e}^{t} \end {array}\right ] \]
i.c.

13232

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=5 x \left (t \right )-4 y \left (t \right )+{\mathrm e}^{3 t} \\ y^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \end {array}\right ] \]
i.c.

13233

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+5 y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )+\cos \left (3 t \right ) \end {array}\right ] \]
i.c.

13234

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right )+{\mathrm e}^{-t} \\ y^{\prime }\left (t \right )=4 x \left (t \right )-2 y \left (t \right )+{\mathrm e}^{2 t} \end {array}\right ] \]
i.c.

13235

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=8 x \left (t \right )+14 y \left (t \right ) \\ y^{\prime }\left (t \right )=7 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]
i.c.

13245

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=8 x \left (t \right )+14 y \left (t \right ) \\ y^{\prime }\left (t \right )=7 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

13246

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right ) \\ y^{\prime }\left (t \right )=-5 x \left (t \right )-3 y \left (t \right ) \end {array}\right ] \]

13247

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=11 x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )+4 y \left (t \right ) \end {array}\right ] \]

13248

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+20 y \left (t \right ) \\ y^{\prime }\left (t \right )=40 x \left (t \right )-19 y \left (t \right ) \end {array}\right ] \]

13249

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

13250

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

13251

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right )+3 y \left (t \right ) \\ y^{\prime }\left (t \right )=-6 x \left (t \right )+4 y \left (t \right ) \end {array}\right ] \]

13252

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-11 x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=13 x \left (t \right )-9 y \left (t \right ) \end {array}\right ] \]

13253

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=7 x \left (t \right )-5 y \left (t \right ) \\ y^{\prime }\left (t \right )=10 x \left (t \right )-3 y \left (t \right ) \end {array}\right ] \]

13254

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=5 x \left (t \right )-4 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

13255

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-6 x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]

13256

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-5 y \left (t \right ) \end {array}\right ] \]

13257

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=13 x \left (t \right ) \\ y^{\prime }\left (t \right )=13 y \left (t \right ) \end {array}\right ] \]

13258

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=7 x \left (t \right )-4 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+3 y \left (t \right ) \end {array}\right ] \]

13259

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right )-x \left (t \right ) \\ y^{\prime }\left (t \right )=y \left (t \right )-x \left (t \right ) \end {array}\right ] \]

13356

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right ) \end {array}\right ] \]
i.c.

13357

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+5 x \left (t \right )+y \left (t \right )={\mathrm e}^{t} \\ y^{\prime }\left (t \right )-x \left (t \right )-3 y \left (t \right )={\mathrm e}^{2 t} \end {array}\right ] \]

13358

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right ) \\ y^{\prime }\left (t \right )=z \left (t \right ) \\ z^{\prime }\left (t \right )=x \left (t \right ) \end {array}\right ] \]

13359

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right ) \\ y^{\prime }\left (t \right )=\frac {y \left (t \right )^{2}}{x \left (t \right )} \end {array}\right ] \]

13510

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )-4 y \left (t \right ) \end {array}\right ] \]

13511

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=\frac {5 x \left (t \right )}{4}+\frac {3 y \left (t \right )}{4} \\ y^{\prime }\left (t \right )=\frac {x \left (t \right )}{2}-\frac {3 y \left (t \right )}{2} \end {array}\right ] \]

13512

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )-x \left (t \right )+2 y \left (t \right )=0 \\ y^{\prime }\left (t \right )+y \left (t \right )-x \left (t \right )=0 \end {array}\right ] \]

13513

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+5 x \left (t \right )-2 y \left (t \right )=0 \\ y^{\prime }\left (t \right )+2 x \left (t \right )-y \left (t \right )=0 \end {array}\right ] \]

13514

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )-3 x \left (t \right )+2 y \left (t \right )=0 \\ y^{\prime }\left (t \right )-x \left (t \right )+3 y \left (t \right )=0 \end {array}\right ] \]

13515

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+x \left (t \right )-z \left (t \right )=0 \\ x \left (t \right )+y^{\prime }\left (t \right )-y \left (t \right )=0 \\ z^{\prime }\left (t \right )+x \left (t \right )+2 y \left (t \right )-3 z \left (t \right )=0 \end {array}\right ] \]

13516

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-\frac {x \left (t \right )}{2}+2 y \left (t \right )-3 z \left (t \right ) \\ y^{\prime }\left (t \right )=y \left (t \right )-\frac {z \left (t \right )}{2} \\ z^{\prime }\left (t \right )=-2 x \left (t \right )+z \left (t \right ) \end {array}\right ] \]

13517

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+y^{\prime }\left (t \right )=y \left (t \right ) \\ x^{\prime }\left (t \right )-y^{\prime }\left (t \right )=x \left (t \right ) \end {array}\right ] \]

13518

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+2 y^{\prime }\left (t \right )=t \\ x^{\prime }\left (t \right )-y^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

13519

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )-y^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right )-t \\ 2 x^{\prime }\left (t \right )+3 y^{\prime }\left (t \right )=2 x \left (t \right )+6 \end {array}\right ] \]

13520

\[ {}\left [\begin {array}{c} 2 x^{\prime }\left (t \right )-y^{\prime }\left (t \right )=t \\ 3 x^{\prime }\left (t \right )+2 y^{\prime }\left (t \right )=y \left (t \right ) \end {array}\right ] \]

13521

\[ {}\left [\begin {array}{c} 5 x^{\prime }\left (t \right )-3 y^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \\ 3 x^{\prime }\left (t \right )-y^{\prime }\left (t \right )=t \end {array}\right ] \]

13522

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )-4 y^{\prime }\left (t \right )=0 \\ 2 x^{\prime }\left (t \right )-3 y^{\prime }\left (t \right )=t +y \left (t \right ) \end {array}\right ] \]

13523

\[ {}\left [\begin {array}{c} 3 x^{\prime }\left (t \right )+2 y^{\prime }\left (t \right )=\sin \left (t \right ) \\ x^{\prime }\left (t \right )-2 y^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right )+t \end {array}\right ] \]

13524

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-4 x \left (t \right )+9 y \left (t \right )+12 \,{\mathrm e}^{-t} \\ y^{\prime }\left (t \right )=-5 x \left (t \right )+2 y \left (t \right ) \end {array}\right ] \]

13525

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-7 x \left (t \right )+6 y \left (t \right )+6 \,{\mathrm e}^{-t} \\ y^{\prime }\left (t \right )=-12 x \left (t \right )+5 y \left (t \right )+37 \end {array}\right ] \]

13526

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-7 x \left (t \right )+10 y \left (t \right )+18 \,{\mathrm e}^{t} \\ y^{\prime }\left (t \right )=-10 x \left (t \right )+9 y \left (t \right )+37 \end {array}\right ] \]

13527

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-14 x \left (t \right )+39 y \left (t \right )+78 \sinh \left (t \right ) \\ y^{\prime }\left (t \right )=-6 x \left (t \right )+16 y \left (t \right )+6 \cosh \left (t \right ) \end {array}\right ] \]

13528

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+4 y \left (t \right )-2 z \left (t \right )-2 \sinh \left (t \right ) \\ y^{\prime }\left (t \right )=4 x \left (t \right )+2 y \left (t \right )-2 z \left (t \right )+10 \cosh \left (t \right ) \\ z^{\prime }\left (t \right )=-x \left (t \right )+3 y \left (t \right )+z \left (t \right )+5 \end {array}\right ] \]

13529

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+6 y \left (t \right )-2 z \left (t \right )+50 \,{\mathrm e}^{t} \\ y^{\prime }\left (t \right )=6 x \left (t \right )+2 y \left (t \right )-2 z \left (t \right )+21 \,{\mathrm e}^{-t} \\ z^{\prime }\left (t \right )=-x \left (t \right )+6 y \left (t \right )+z \left (t \right )+9 \end {array}\right ] \]

13530

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right )-2 y \left (t \right )+4 z \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )+y \left (t \right )+2 z \left (t \right ) \\ z^{\prime }\left (t \right )=-4 x \left (t \right )-2 y \left (t \right )+6 z \left (t \right )+{\mathrm e}^{2 t} \end {array}\right ] \]

13531

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )-2 y \left (t \right )+3 z \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right )+2 z \left (t \right )+2 \,{\mathrm e}^{-t} \\ z^{\prime }\left (t \right )=-2 x \left (t \right )+2 y \left (t \right )-2 z \left (t \right ) \end {array}\right ] \]

13532

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=7 x \left (t \right )+y \left (t \right )-1-6 \,{\mathrm e}^{t} \\ y^{\prime }\left (t \right )=-4 x \left (t \right )+3 y \left (t \right )+4 \,{\mathrm e}^{t}-3 \end {array}\right ] \]
i.c.

13533

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )-2 y \left (t \right )+24 \sin \left (t \right ) \\ y^{\prime }\left (t \right )=9 x \left (t \right )-3 y \left (t \right )+12 \cos \left (t \right ) \end {array}\right ] \]
i.c.

13534

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=7 x \left (t \right )-4 y \left (t \right )+10 \,{\mathrm e}^{t} \\ y^{\prime }\left (t \right )=3 x \left (t \right )+14 y \left (t \right )+6 \,{\mathrm e}^{2 t} \end {array}\right ] \]
i.c.

13535

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-7 x \left (t \right )+4 y \left (t \right )+6 \,{\mathrm e}^{3 t} \\ y^{\prime }\left (t \right )=-5 x \left (t \right )+2 y \left (t \right )+6 \,{\mathrm e}^{2 t} \end {array}\right ] \]
i.c.

13536

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 x \left (t \right )-3 y \left (t \right )+z \left (t \right ) \\ y^{\prime }\left (t \right )=2 y \left (t \right )+2 z \left (t \right )+29 \,{\mathrm e}^{-t} \\ z^{\prime }\left (t \right )=5 x \left (t \right )+y \left (t \right )+z \left (t \right )+39 \,{\mathrm e}^{t} \end {array}\right ] \]
i.c.

13537

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right )-z \left (t \right )+5 \sin \left (t \right ) \\ y^{\prime }\left (t \right )=y \left (t \right )+z \left (t \right )-10 \cos \left (t \right ) \\ z^{\prime }\left (t \right )=x \left (t \right )+z \left (t \right )+2 \end {array}\right ] \]
i.c.

13538

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 x \left (t \right )+3 y \left (t \right )+z \left (t \right )+5 \sin \left (2 t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-5 y \left (t \right )-3 z \left (t \right )+5 \cos \left (2 t \right ) \\ z^{\prime }\left (t \right )=-3 x \left (t \right )+7 y \left (t \right )+3 z \left (t \right )+23 \,{\mathrm e}^{t} \end {array}\right ] \]
i.c.

13539

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 x \left (t \right )+y \left (t \right )-3 z \left (t \right )+2 \,{\mathrm e}^{t} \\ y^{\prime }\left (t \right )=4 x \left (t \right )-y \left (t \right )+2 z \left (t \right )+4 \,{\mathrm e}^{t} \\ z^{\prime }\left (t \right )=4 x \left (t \right )-2 y \left (t \right )+3 z \left (t \right )+4 \,{\mathrm e}^{t} \end {array}\right ] \]
i.c.

13540

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+5 y \left (t \right )+10 \sinh \left (t \right ) \\ y^{\prime }\left (t \right )=19 x \left (t \right )-13 y \left (t \right )+24 \sinh \left (t \right ) \end {array}\right ] \]

13541

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=9 x \left (t \right )-3 y \left (t \right )-6 t \\ y^{\prime }\left (t \right )=-x \left (t \right )+11 y \left (t \right )+10 t \end {array}\right ] \]

13684

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right )+1 \\ y^{\prime }\left (t \right )=1+x \left (t \right ) \end {array}\right ] \]
i.c.

13685

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right ) \end {array}\right ] \]
i.c.

13686

\[ {}\left [\begin {array}{c} 4 x^{\prime }\left (t \right )-y^{\prime }\left (t \right )+3 x \left (t \right )=\sin \left (t \right ) \\ x^{\prime }\left (t \right )+y \left (t \right )=\cos \left (t \right ) \end {array}\right ] \]

13697

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )-3 y \left (t \right ) \\ y^{\prime }\left (t \right )=5 x \left (t \right )+6 y \left (t \right ) \end {array}\right ] \]

13698

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-4 x \left (t \right )-10 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]

13699

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=12 x \left (t \right )+18 y \left (t \right ) \\ y^{\prime }\left (t \right )=-8 x \left (t \right )-12 y \left (t \right ) \end {array}\right ] \]

13702

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right )-x \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )-3 y \left (t \right ) \end {array}\right ] \]
i.c.

13703

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-5 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

13704

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]

13705

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-4 x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]

13706

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )+2 y \left (t \right ) \end {array}\right ] \]

13707

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

13708

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=y \left (t \right )-x \left (t \right ) \end {array}\right ] \]

13709

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

13710

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]

13711

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )-3 y \left (t \right ) \end {array}\right ] \]

13712

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+3 y \left (t \right ) \end {array}\right ] \]

13713

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )-4 y \left (t \right ) \end {array}\right ] \]

13714

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right ) \\ y^{\prime }\left (t \right )=y \left (t \right ) \end {array}\right ] \]

13715

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=0 \\ y^{\prime }\left (t \right )=x \left (t \right ) \end {array}\right ] \]

13721

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-5 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

13969

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=2 y_{1} \left (x \right )-3 y_{2} \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=y_{1} \left (x \right )-2 y_{2} \left (x \right ) \end {array}\right ] \]

13970

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=y_{1} \left (x \right )-2 y_{2} \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=y_{1} \left (x \right )+3 y_{2} \left (x \right ) \end {array}\right ] \]

13971

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=y_{1} \left (x \right )+2 y_{2} \left (x \right )+x -1 \\ y_{2}^{\prime }\left (x \right )=3 y_{1} \left (x \right )+2 y_{2} \left (x \right )-5 x -2 \end {array}\right ] \]
i.c.

13972

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=\frac {2 y_{1} \left (x \right )}{x}-\frac {y_{2} \left (x \right )}{x^{2}}-3+\frac {1}{x}-\frac {1}{x^{2}} \\ y_{2}^{\prime }\left (x \right )=2 y_{1} \left (x \right )+1-6 x \end {array}\right ] \]
i.c.

13973

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=\frac {5 y_{1} \left (x \right )}{x}+\frac {4 y_{2} \left (x \right )}{x}-2 x \\ y_{2}^{\prime }\left (x \right )=-\frac {6 y_{1} \left (x \right )}{x}-\frac {5 y_{2} \left (x \right )}{x}+5 x \end {array}\right ] \]
i.c.

13974

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=3 y_{1} \left (x \right )-2 y_{2} \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=y_{2} \left (x \right )-y_{1} \left (x \right ) \end {array}\right ] \]
i.c.

13975

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=\sin \left (x \right ) y_{1} \left (x \right )+\sqrt {x}\, y_{2} \left (x \right )+\ln \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=\tan \left (x \right ) y_{1} \left (x \right )-{\mathrm e}^{x} y_{2} \left (x \right )+1 \end {array}\right ] \]
i.c.

13976

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=\sin \left (x \right ) y_{1} \left (x \right )+\sqrt {x}\, y_{2} \left (x \right )+\ln \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=\tan \left (x \right ) y_{1} \left (x \right )-{\mathrm e}^{x} y_{2} \left (x \right )+1 \end {array}\right ] \]
i.c.

13977

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )={\mathrm e}^{-x} y_{1} \left (x \right )-\sqrt {x +1}\, y_{2} \left (x \right )+x^{2} \\ y_{2}^{\prime }\left (x \right )=\frac {y_{1} \left (x \right )}{\left (-2+x \right )^{2}} \end {array}\right ] \]
i.c.

13978

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )={\mathrm e}^{-x} y_{1} \left (x \right )-\sqrt {x +1}\, y_{2} \left (x \right )+x^{2} \\ y_{2}^{\prime }\left (x \right )=\frac {y_{1} \left (x \right )}{\left (-2+x \right )^{2}} \end {array}\right ] \]
i.c.

13987

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=2 y_{1} \left (x \right )-3 y_{2} \left (x \right )+5 \,{\mathrm e}^{x} \\ y_{2}^{\prime }\left (x \right )=y_{1} \left (x \right )+4 y_{2} \left (x \right )-2 \,{\mathrm e}^{-x} \end {array}\right ] \]

13988

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=y_{2} \left (x \right )-2 y_{1} \left (x \right )+\sin \left (2 x \right ) \\ y_{2}^{\prime }\left (x \right )=-3 y_{1} \left (x \right )+y_{2} \left (x \right )-2 \cos \left (3 x \right ) \end {array}\right ] \]

13989

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=2 y_{2} \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=3 y_{1} \left (x \right ) \\ y_{3}^{\prime }\left (x \right )=2 y_{3} \left (x \right )-y_{1} \left (x \right ) \end {array}\right ] \]

13990

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=2 x y_{1} \left (x \right )-x^{2} y_{2} \left (x \right )+4 x \\ y_{2}^{\prime }\left (x \right )={\mathrm e}^{x} y_{1} \left (x \right )+3 \,{\mathrm e}^{-x} y_{2} \left (x \right )-\cos \left (3 x \right ) \end {array}\right ] \]

13991

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=2 y_{1} \left (x \right )-3 y_{2} \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=y_{1} \left (x \right )-2 y_{2} \left (x \right ) \end {array}\right ] \]

13992

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=2 y_{1} \left (x \right )-3 y_{2} \left (x \right )+4 x -2 \\ y_{2}^{\prime }\left (x \right )=y_{1} \left (x \right )-2 y_{2} \left (x \right )+3 x \end {array}\right ] \]

13993

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=\frac {5 y_{1} \left (x \right )}{x}+\frac {4 y_{2} \left (x \right )}{x} \\ y_{2}^{\prime }\left (x \right )=-\frac {6 y_{1} \left (x \right )}{x}-\frac {5 y_{2} \left (x \right )}{x} \end {array}\right ] \]

13994

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=\frac {5 y_{1} \left (x \right )}{x}+\frac {4 y_{2} \left (x \right )}{x}-2 x \\ y_{2}^{\prime }\left (x \right )=-\frac {6 y_{1} \left (x \right )}{x}-\frac {5 y_{2} \left (x \right )}{x}+5 x \end {array}\right ] \]

13995

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=2 y_{1} \left (x \right )+y_{2} \left (x \right )-2 y_{3} \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=3 y_{2} \left (x \right )-2 y_{3} \left (x \right ) \\ y_{3}^{\prime }\left (x \right )=3 y_{1} \left (x \right )+y_{2} \left (x \right )-3 y_{3} \left (x \right ) \end {array}\right ] \]

13996

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=5 y_{1} \left (x \right )-5 y_{2} \left (x \right )-5 y_{3} \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=-y_{1} \left (x \right )+4 y_{2} \left (x \right )+2 y_{3} \left (x \right ) \\ y_{3}^{\prime }\left (x \right )=3 y_{1} \left (x \right )-5 y_{2} \left (x \right )-3 y_{3} \left (x \right ) \end {array}\right ] \]

13997

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=4 y_{1} \left (x \right )+6 y_{2} \left (x \right )+6 y_{3} \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=y_{1} \left (x \right )+3 y_{2} \left (x \right )+2 y_{3} \left (x \right ) \\ y_{3}^{\prime }\left (x \right )=-y_{1} \left (x \right )-4 y_{2} \left (x \right )-3 y_{3} \left (x \right ) \end {array}\right ] \]

13998

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=y_{1} \left (x \right )+2 y_{2} \left (x \right )-3 y_{3} \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=-3 y_{1} \left (x \right )+4 y_{2} \left (x \right )-2 y_{3} \left (x \right ) \\ y_{3}^{\prime }\left (x \right )=2 y_{1} \left (x \right )+y_{3} \left (x \right ) \end {array}\right ] \]

13999

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=-2 y_{1} \left (x \right )-y_{2} \left (x \right )+y_{3} \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=-y_{1} \left (x \right )-2 y_{2} \left (x \right )-y_{3} \left (x \right ) \\ y_{3}^{\prime }\left (x \right )=y_{1} \left (x \right )-y_{2} \left (x \right )-2 y_{3} \left (x \right ) \end {array}\right ] \]

14000

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=y_{1} \left (x \right )+y_{2} \left (x \right )+2 y_{3} \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=y_{1} \left (x \right )+y_{2} \left (x \right )+2 y_{3} \left (x \right ) \\ y_{3}^{\prime }\left (x \right )=2 y_{1} \left (x \right )+2 y_{2} \left (x \right )+4 y_{3} \left (x \right ) \end {array}\right ] \]

14001

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=2 y_{1} \left (x \right )+y_{2} \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=-y_{1} \left (x \right )+2 y_{2} \left (x \right ) \\ y_{3}^{\prime }\left (x \right )=3 y_{3} \left (x \right )-4 y_{4} \left (x \right ) \\ y_{4}^{\prime }\left (x \right )=4 y_{3} \left (x \right )+3 y_{4} \left (x \right ) \end {array}\right ] \]

14002

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=y_{2} \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=-3 y_{1} \left (x \right )+2 y_{3} \left (x \right ) \\ y_{3}^{\prime }\left (x \right )=y_{4} \left (x \right ) \\ y_{4}^{\prime }\left (x \right )=2 y_{1} \left (x \right )-5 y_{3} \left (x \right ) \end {array}\right ] \]

14003

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=3 y_{1} \left (x \right )+2 y_{2} \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=3 y_{2} \left (x \right )-2 y_{1} \left (x \right ) \\ y_{3}^{\prime }\left (x \right )=y_{3} \left (x \right ) \\ y_{4}^{\prime }\left (x \right )=2 y_{4} \left (x \right ) \end {array}\right ] \]

14004

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (x \right )=y_{2} \left (x \right )+y_{4} \left (x \right ) \\ y_{2}^{\prime }\left (x \right )=y_{1} \left (x \right )-y_{3} \left (x \right ) \\ y_{3}^{\prime }\left (x \right )=y_{4} \left (x \right ) \\ y_{4}^{\prime }\left (x \right )=y_{3} \left (x \right ) \end {array}\right ] \]

14005

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right )+3 y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )+2 y \left (t \right ) \end {array}\right ] \]

14006

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )+3 y \left (t \right ) \end {array}\right ] \]

14007

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )-3 y \left (t \right ) \end {array}\right ] \]

14008

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=5 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

14009

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

14010

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

14011

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-5 x \left (t \right )-y \left (t \right )+2 \\ y^{\prime }\left (t \right )=3 x \left (t \right )-y \left (t \right )-3 \end {array}\right ] \]

14012

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )-2 y \left (t \right )-6 \\ y^{\prime }\left (t \right )=4 x \left (t \right )-y \left (t \right )+2 \end {array}\right ] \]

14209

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

14210

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=0 \end {array}\right ] \]

14211

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

14212

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

14213

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

14214

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 y \left (t \right ) \\ y^{\prime }\left (t \right )=3 \pi y \left (t \right )-\frac {x \left (t \right )}{3} \end {array}\right ] \]

14215

\[ {}\left [\begin {array}{c} p^{\prime }\left (t \right )=3 p \left (t \right )-2 q \left (t \right )-7 r \left (t \right ) \\ q^{\prime }\left (t \right )=-2 p \left (t \right )+6 r \left (t \right ) \\ r^{\prime }\left (t \right )=\frac {73 q \left (t \right )}{100}+2 r \left (t \right ) \end {array}\right ] \]

14216

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 x \left (t \right )+2 \pi y \left (t \right ) \\ y^{\prime }\left (t \right )=4 x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

14217

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=\beta y \left (t \right ) \\ y^{\prime }\left (t \right )=\gamma x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

14218

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \end {array}\right ] \]
i.c.

14219

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+3 y \left (t \right ) \end {array}\right ] \]
i.c.

14220

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )-5 y \left (t \right ) \end {array}\right ] \]
i.c.

14221

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right )-3 y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]
i.c.

14222

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+3 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right ) \end {array}\right ] \]
i.c.

14223

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=1 \\ y^{\prime }\left (t \right )=x \left (t \right ) \end {array}\right ] \]

14224

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right ) \\ y^{\prime }\left (t \right )=-2 y \left (t \right ) \end {array}\right ] \]

14225

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-4 x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )-3 y \left (t \right ) \end {array}\right ] \]

14226

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-5 x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )-4 y \left (t \right ) \end {array}\right ] \]

14227

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )+4 y \left (t \right ) \end {array}\right ] \]

14228

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-\frac {x \left (t \right )}{2} \\ y^{\prime }\left (t \right )=x \left (t \right )-\frac {y \left (t \right )}{2} \end {array}\right ] \]

14229

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=5 x \left (t \right )+4 y \left (t \right ) \\ y^{\prime }\left (t \right )=9 x \left (t \right ) \end {array}\right ] \]

14230

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )+4 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right ) \end {array}\right ] \]

14231

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=y \left (t \right )-x \left (t \right ) \end {array}\right ] \]

14232

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

14233

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-4 y \left (t \right ) \end {array}\right ] \]

14234

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]
i.c.

14235

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]
i.c.

14236

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]
i.c.

14237

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]
i.c.

14238

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]
i.c.

14239

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]
i.c.

14240

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-4 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )-3 y \left (t \right ) \end {array}\right ] \]
i.c.

14241

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-4 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )-3 y \left (t \right ) \end {array}\right ] \]
i.c.

14242

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-4 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )-3 y \left (t \right ) \end {array}\right ] \]
i.c.

14243

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \end {array}\right ] \]
i.c.

14244

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \end {array}\right ] \]
i.c.

14245

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \end {array}\right ] \]
i.c.

14246

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right ) \end {array}\right ] \]
i.c.

14247

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-4 x \left (t \right )+6 y \left (t \right ) \end {array}\right ] \]
i.c.

14248

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 x \left (t \right )-5 y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]
i.c.

14249

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )-y \left (t \right ) \end {array}\right ] \]
i.c.

14250

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )-6 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]
i.c.

14251

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+4 y \left (t \right ) \\ y^{\prime }\left (t \right )=-3 x \left (t \right )+2 y \left (t \right ) \end {array}\right ] \]
i.c.

14252

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right ) \end {array}\right ] \]
i.c.

14253

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-4 x \left (t \right )+6 y \left (t \right ) \end {array}\right ] \]
i.c.

14254

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 x \left (t \right )-5 y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]
i.c.

14255

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )-y \left (t \right ) \end {array}\right ] \]
i.c.

14256

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )-6 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]
i.c.

14257

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+4 y \left (t \right ) \\ y^{\prime }\left (t \right )=-3 x \left (t \right )+2 y \left (t \right ) \end {array}\right ] \]
i.c.

14258

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-\frac {9 x \left (t \right )}{10}-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+\frac {11 y \left (t \right )}{10} \end {array}\right ] \]
i.c.

14259

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 x \left (t \right )+10 y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )+3 y \left (t \right ) \end {array}\right ] \]

14260

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 x \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-3 y \left (t \right ) \end {array}\right ] \]
i.c.

14261

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]
i.c.

14262

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-4 y \left (t \right ) \end {array}\right ] \]
i.c.

14263

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]
i.c.

14264

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 x \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-3 y \left (t \right ) \end {array}\right ] \]
i.c.

14265

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )+4 y \left (t \right ) \end {array}\right ] \]
i.c.

14266

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-4 y \left (t \right ) \end {array}\right ] \]
i.c.

14267

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]
i.c.

14268

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-y \left (t \right ) \end {array}\right ] \]
i.c.

14269

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+4 y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )+6 y \left (t \right ) \end {array}\right ] \]
i.c.

14270

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]
i.c.

14271

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 y \left (t \right ) \\ y^{\prime }\left (t \right )=0 \end {array}\right ] \]

14272

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=0 \end {array}\right ] \]

14273

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=4 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]
i.c.

14276

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=\frac {y \left (t \right )}{10} \\ y^{\prime }\left (t \right )=\frac {z \left (t \right )}{5} \\ z^{\prime }\left (t \right )=\frac {2 x \left (t \right )}{5} \end {array}\right ] \]

14277

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right ) \\ z^{\prime }\left (t \right )=2 z \left (t \right ) \end {array}\right ] \]

14278

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right )+3 y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )-2 y \left (t \right ) \\ z^{\prime }\left (t \right )=-z \left (t \right ) \end {array}\right ] \]

14279

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+3 z \left (t \right ) \\ y^{\prime }\left (t \right )=-y \left (t \right ) \\ z^{\prime }\left (t \right )=-3 x \left (t \right )+z \left (t \right ) \end {array}\right ] \]

14280

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right ) \\ y^{\prime }\left (t \right )=2 y \left (t \right )-z \left (t \right ) \\ z^{\prime }\left (t \right )=-y \left (t \right )+2 z \left (t \right ) \end {array}\right ] \]

14281

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 y \left (t \right ) \\ z^{\prime }\left (t \right )=-z \left (t \right ) \end {array}\right ] \]

14282

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 y \left (t \right ) \\ z^{\prime }\left (t \right )=z \left (t \right ) \end {array}\right ] \]

14283

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )-4 y \left (t \right ) \\ z^{\prime }\left (t \right )=-z \left (t \right ) \end {array}\right ] \]

14284

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )-4 y \left (t \right ) \\ z^{\prime }\left (t \right )=0 \end {array}\right ] \]

14285

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 y \left (t \right )+z \left (t \right ) \\ z^{\prime }\left (t \right )=-2 z \left (t \right ) \end {array}\right ] \]

14286

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right ) \\ y^{\prime }\left (t \right )=z \left (t \right ) \\ z^{\prime }\left (t \right )=0 \end {array}\right ] \]

14287

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 y \left (t \right )+3 z \left (t \right ) \\ z^{\prime }\left (t \right )=-x \left (t \right )+3 y \left (t \right )-z \left (t \right ) \end {array}\right ] \]

14288

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-4 x \left (t \right )+3 y \left (t \right ) \\ y^{\prime }\left (t \right )=z \left (t \right )-y \left (t \right ) \\ z^{\prime }\left (t \right )=5 x \left (t \right )-5 y \left (t \right ) \end {array}\right ] \]

14289

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-10 x \left (t \right )+10 y \left (t \right ) \\ y^{\prime }\left (t \right )=28 x \left (t \right )-y \left (t \right ) \\ z^{\prime }\left (t \right )=-\frac {8 z \left (t \right )}{3} \end {array}\right ] \]

14290

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=z \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=z \left (t \right )-x \left (t \right ) \\ z^{\prime }\left (t \right )=z \left (t \right ) \end {array}\right ] \]

14293

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right ) \\ y^{\prime }\left (t \right )=-2 y \left (t \right ) \end {array}\right ] \]

14295

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=0 \\ y^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

14296

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=\pi ^{2} x \left (t \right )+\frac {187 y \left (t \right )}{5} \\ y^{\prime }\left (t \right )=\sqrt {555}\, x \left (t \right )+\frac {400617 y \left (t \right )}{5000} \end {array}\right ] \]
i.c.

14297

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

14298

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=y \left (t \right )-x \left (t \right ) \end {array}\right ] \]

14299

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right ) \end {array}\right ] \]

14300

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right )-x \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

14301

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

14302

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right ) \end {array}\right ] \]

14303

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right ) \\ y^{\prime }\left (t \right )=-4 x \left (t \right )-4 y \left (t \right ) \end {array}\right ] \]

14304

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 x \left (t \right )-3 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

15169

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 y \left (t \right ) \\ y^{\prime }\left (t \right )=1-2 x \left (t \right ) \end {array}\right ] \]

15170

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 x \left (t \right )-3 y \left (t \right ) \\ y^{\prime }\left (t \right )=6 x \left (t \right )-7 y \left (t \right ) \end {array}\right ] \]

15171

\[ {}\left [\begin {array}{c} t x^{\prime }\left (t \right )+2 x \left (t \right )=15 y \left (t \right ) \\ y^{\prime }\left (t \right ) t =x \left (t \right ) \end {array}\right ] \]

15172

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=5 x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]
i.c.

15173

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=5 x \left (t \right )+4 y \left (t \right ) \\ y^{\prime }\left (t \right )=8 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]
i.c.

15174

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )-y \left (t \right ) \end {array}\right ] \]
i.c.

15175

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=5 x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]
i.c.

15176

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right ) \end {array}\right ] \]

15177

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right ) \end {array}\right ] \]

15178

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=8 x \left (t \right ) \end {array}\right ] \]

15179

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 x \left (t \right )-13 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right ) \end {array}\right ] \]
i.c.

15180

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )+3 y \left (t \right ) \end {array}\right ] \]
i.c.

15181

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=8 x \left (t \right )+2 y \left (t \right )-17 \\ y^{\prime }\left (t \right )=4 x \left (t \right )+y \left (t \right )-13 \end {array}\right ] \]
i.c.

15182

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=8 x \left (t \right )+2 y \left (t \right )+7 \,{\mathrm e}^{2 t} \\ y^{\prime }\left (t \right )=4 x \left (t \right )+y \left (t \right )-7 \,{\mathrm e}^{2 t} \end {array}\right ] \]
i.c.

15183

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 x \left (t \right )+3 y \left (t \right )-6 \,{\mathrm e}^{3 t} \\ y^{\prime }\left (t \right )=x \left (t \right )+6 y \left (t \right )+2 \,{\mathrm e}^{3 t} \end {array}\right ] \]
i.c.

15184

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-y \left (t \right ) \\ y^{\prime }\left (t \right )=4 x \left (t \right )+24 t \end {array}\right ] \]
i.c.

15185

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 x \left (t \right )-13 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+19 \cos \left (4 t \right )-13 \sin \left (4 t \right ) \end {array}\right ] \]
i.c.

15186

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 x \left (t \right )+3 y \left (t \right )+5 \operatorname {Heaviside}\left (t -2\right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+6 y \left (t \right )+17 \operatorname {Heaviside}\left (t -2\right ) \end {array}\right ] \]
i.c.

15187

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=5 x \left (t \right )+4 y \left (t \right ) \\ y^{\prime }\left (t \right )=8 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

15188

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )-5 y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )-7 y \left (t \right ) \end {array}\right ] \]

15189

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )-5 y \left (t \right )+4 \\ y^{\prime }\left (t \right )=3 x \left (t \right )-7 y \left (t \right )+5 \end {array}\right ] \]

15190

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=6 x \left (t \right )+2 y \left (t \right ) \end {array}\right ] \]

15191

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right ) y \left (t \right )-6 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right )-5 \end {array}\right ] \]

15192

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

15248

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]

15252

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 y \left (t \right ) \\ y^{\prime }\left (t \right )=-4 x \left (t \right ) \end {array}\right ] \]
i.c.

15253

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-5 x \left (t \right )+4 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )+2 y \left (t \right ) \end {array}\right ] \]
i.c.

16060

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=6 \\ y^{\prime }\left (t \right )=\cos \left (t \right ) \end {array}\right ] \]

16061

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right ) \\ y^{\prime }\left (t \right )=1 \end {array}\right ] \]

16062

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=0 \\ y^{\prime }\left (t \right )=-2 y \left (t \right ) \end {array}\right ] \]

16063

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )^{2} \\ y^{\prime }\left (t \right )={\mathrm e}^{t} \end {array}\right ] \]

16064

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-3 x_{1} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=1 \end {array}\right ] \]
i.c.

16065

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{1} \left (t \right )+1 \\ x_{2}^{\prime }\left (t \right )=x_{2} \left (t \right ) \end {array}\right ] \]
i.c.

16066

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 x \left (t \right )+6 y \left (t \right ) \\ y^{\prime }\left (t \right )=4 x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

16067

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=8 x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+6 y \left (t \right ) \end {array}\right ] \]

16068

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

16069

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )+2 y \left (t \right ) \end {array}\right ] \]

16070

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )+1 \end {array}\right ] \]

16071

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )+\sin \left (2 t \right ) \end {array}\right ] \]

16641

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-2 t x_{1} \left (t \right )^{2} \\ x_{2}^{\prime }\left (t \right )=\frac {x_{2} \left (t \right )+t}{t} \end {array}\right ] \]

16642

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )={\mathrm e}^{t -x_{1} \left (t \right )} \\ x_{2}^{\prime }\left (t \right )=2 \,{\mathrm e}^{x_{1} \left (t \right )} \end {array}\right ] \]

16643

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right ) \\ y^{\prime }\left (t \right )=\frac {y \left (t \right )^{2}}{x \left (t \right )} \end {array}\right ] \]

16644

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=\frac {x_{1} \left (t \right )^{2}}{x_{2} \left (t \right )} \\ x_{2}^{\prime }\left (t \right )=x_{2} \left (t \right )-x_{1} \left (t \right ) \end {array}\right ] \]

16645

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=\frac {{\mathrm e}^{-x \left (t \right )}}{t} \\ y^{\prime }\left (t \right )=\frac {x \left (t \right ) {\mathrm e}^{-y \left (t \right )}}{t} \end {array}\right ] \]

16646

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=\frac {t +y \left (t \right )}{x \left (t \right )+y \left (t \right )} \\ y^{\prime }\left (t \right )=\frac {x \left (t \right )-t}{x \left (t \right )+y \left (t \right )} \end {array}\right ] \]

16647

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=\frac {t -y \left (t \right )}{y \left (t \right )-x \left (t \right )} \\ y^{\prime }\left (t \right )=\frac {x \left (t \right )-t}{y \left (t \right )-x \left (t \right )} \end {array}\right ] \]

16648

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=\frac {t +y \left (t \right )}{x \left (t \right )+y \left (t \right )} \\ y^{\prime }\left (t \right )=\frac {t +x \left (t \right )}{x \left (t \right )+y \left (t \right )} \end {array}\right ] \]

16649

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-9 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right ) \end {array}\right ] \]

16650

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=t +y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-t \end {array}\right ] \]

16651

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+3 x \left (t \right )+4 y \left (t \right )=0 \\ y^{\prime }\left (t \right )+2 x \left (t \right )+5 y \left (t \right )=0 \end {array}\right ] \]
i.c.

16652

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+5 y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )-3 y \left (t \right ) \end {array}\right ] \]
i.c.

16653

\[ {}\left [\begin {array}{c} 4 x^{\prime }\left (t \right )-y^{\prime }\left (t \right )+3 x \left (t \right )=\sin \left (t \right ) \\ x^{\prime }\left (t \right )+y \left (t \right )=\cos \left (t \right ) \end {array}\right ] \]

16654

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=z \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=z \left (t \right ) \\ z^{\prime }\left (t \right )=z \left (t \right )-x \left (t \right ) \end {array}\right ] \]

16655

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right )+z \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+z \left (t \right ) \\ z^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

16656

\[ {}\left [\begin {array}{c} x^{\prime \prime }\left (t \right )=y \left (t \right ) \\ y^{\prime \prime }\left (t \right )=x \left (t \right ) \end {array}\right ] \]

16657

\[ {}\left [\begin {array}{c} x^{\prime \prime }\left (t \right )+y^{\prime }\left (t \right )+x \left (t \right )=0 \\ x^{\prime }\left (t \right )+y^{\prime \prime }\left (t \right )=0 \end {array}\right ] \]

16658

\[ {}\left [\begin {array}{c} x^{\prime \prime }\left (t \right )=3 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right ) \end {array}\right ] \]

16659

\[ {}\left [\begin {array}{c} x^{\prime \prime }\left (t \right )=x \left (t \right )^{2}+y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right ) x^{\prime }\left (t \right )+x \left (t \right ) \end {array}\right ] \]
i.c.

16660

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )^{2}+y \left (t \right )^{2} \\ y^{\prime }\left (t \right )=2 x \left (t \right ) y \left (t \right ) \end {array}\right ] \]

16661

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-\frac {1}{y \left (t \right )} \\ y^{\prime }\left (t \right )=\frac {1}{x \left (t \right )} \end {array}\right ] \]

16662

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=\frac {x \left (t \right )}{y \left (t \right )} \\ y^{\prime }\left (t \right )=\frac {y \left (t \right )}{x \left (t \right )} \end {array}\right ] \]

16663

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=\frac {y \left (t \right )}{x \left (t \right )-y \left (t \right )} \\ y^{\prime }\left (t \right )=\frac {x \left (t \right )}{x \left (t \right )-y \left (t \right )} \end {array}\right ] \]

16664

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=\sin \left (x \left (t \right )\right ) \cos \left (y \left (t \right )\right ) \\ y^{\prime }\left (t \right )=\cos \left (x \left (t \right )\right ) \sin \left (y \left (t \right )\right ) \end {array}\right ] \]

16665

\[ {}\left [\begin {array}{c} {\mathrm e}^{t} x^{\prime }\left (t \right )=\frac {1}{y \left (t \right )} \\ {\mathrm e}^{t} y^{\prime }\left (t \right )=\frac {1}{x \left (t \right )} \end {array}\right ] \]

16666

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=\cos \left (x \left (t \right )\right )^{2} \cos \left (y \left (t \right )\right )^{2}+\sin \left (x \left (t \right )\right )^{2} \cos \left (y \left (t \right )\right )^{2} \\ y^{\prime }\left (t \right )=-\frac {\sin \left (2 x \left (t \right )\right ) \sin \left (2 y \left (t \right )\right )}{2} \end {array}\right ] \]
i.c.

16667

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=8 y \left (t \right )-x \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

16668

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=y \left (t \right )-x \left (t \right ) \end {array}\right ] \]

16669

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-3 y \left (t \right ) \end {array}\right ] \]
i.c.

16670

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )+4 y \left (t \right ) \end {array}\right ] \]
i.c.

16671

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 x \left (t \right )-5 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right ) \end {array}\right ] \]
i.c.

16672

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right )+z \left (t \right )-x \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right )+z \left (t \right ) \\ z^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right )-z \left (t \right ) \end {array}\right ] \]

16673

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )-y \left (t \right )+z \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+2 y \left (t \right )-z \left (t \right ) \\ z^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right )+2 z \left (t \right ) \end {array}\right ] \]

16674

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )-y \left (t \right )+z \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+z \left (t \right ) \\ z^{\prime }\left (t \right )=y \left (t \right )-2 z \left (t \right )-3 x \left (t \right ) \end {array}\right ] \]
i.c.

16675

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+2 x \left (t \right )-y \left (t \right )=-{\mathrm e}^{2 t} \\ y^{\prime }\left (t \right )+3 x \left (t \right )-2 y \left (t \right )=6 \,{\mathrm e}^{2 t} \end {array}\right ] \]

16676

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right )-\cos \left (t \right ) \\ y^{\prime }\left (t \right )=-y \left (t \right )-2 x \left (t \right )+\cos \left (t \right )+\sin \left (t \right ) \end {array}\right ] \]
i.c.

16677

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right )+\tan \left (t \right )^{2}-1 \\ y^{\prime }\left (t \right )=\tan \left (t \right )-x \left (t \right ) \end {array}\right ] \]

16678

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-4 x \left (t \right )-2 y \left (t \right )+\frac {2}{{\mathrm e}^{t}-1} \\ y^{\prime }\left (t \right )=6 x \left (t \right )+3 y \left (t \right )-\frac {3}{{\mathrm e}^{t}-1} \end {array}\right ] \]

16679

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )+\frac {1}{\cos \left (t \right )} \end {array}\right ] \]

16680

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )+1 \end {array}\right ] \]

16681

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )-2 t \end {array}\right ] \]

16682

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-y \left (t \right )+\sin \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+\cos \left (t \right ) \end {array}\right ] \]

16683

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right )+{\mathrm e}^{t} \\ y^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right )-{\mathrm e}^{t} \end {array}\right ] \]

16684

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 x \left (t \right )-5 y \left (t \right )+4 t -1 \\ y^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right )+t \end {array}\right ] \]
i.c.

16685

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right )-x \left (t \right )+{\mathrm e}^{t} \\ y^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right )+{\mathrm e}^{t} \end {array}\right ] \]
i.c.

16686

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+y \left (t \right )=t^{2} \\ y^{\prime }\left (t \right )-x \left (t \right )=t \end {array}\right ] \]

16687

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+y^{\prime }\left (t \right )+y \left (t \right )={\mathrm e}^{-t} \\ 2 x^{\prime }\left (t \right )+y^{\prime }\left (t \right )+2 y \left (t \right )=\sin \left (t \right ) \end {array}\right ] \]

16688

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+y \left (t \right )-2 z \left (t \right )+2-t \\ y^{\prime }\left (t \right )=-x \left (t \right )+1 \\ z^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right )-z \left (t \right )+1-t \end {array}\right ] \]

16689

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )+x \left (t \right )+2 y \left (t \right )=2 \,{\mathrm e}^{-t} \\ y^{\prime }\left (t \right )+y \left (t \right )+z \left (t \right )=1 \\ z^{\prime }\left (t \right )+z \left (t \right )=1 \end {array}\right ] \]
i.c.

16690

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=5 x \left (t \right )+4 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+2 y \left (t \right ) \end {array}\right ] \]

16691

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=6 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=4 x \left (t \right )+3 y \left (t \right ) \end {array}\right ] \]

16692

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )-4 y \left (t \right )+1 \\ y^{\prime }\left (t \right )=-x \left (t \right )+5 y \left (t \right ) \end {array}\right ] \]

16693

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )+y \left (t \right )+{\mathrm e}^{t} \\ y^{\prime }\left (t \right )=x \left (t \right )+3 y \left (t \right )-{\mathrm e}^{t} \end {array}\right ] \]

16694

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+4 y \left (t \right )+\cos \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )-2 y \left (t \right )+\sin \left (t \right ) \end {array}\right ] \]

16868

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+4 \end {array}\right ] \]

16869

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+2 y \left (t \right )+\sin \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )+y \left (t \right )-\cos \left (t \right ) \end {array}\right ] \]

16870

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right ) t +y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

16871

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+2 y \left (t \right )+4 \\ y^{\prime }\left (t \right )=-2 x \left (t \right )+y \left (t \right )-3 \end {array}\right ] \]

16872

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+2 y \left (t \right ) \end {array}\right ] \]

16873

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )+t y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right ) t -y \left (t \right ) \end {array}\right ] \]

16874

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right )+4 \\ y^{\prime }\left (t \right )=-2 x \left (t \right )+\sin \left (t \right ) y \left (t \right ) \end {array}\right ] \]

16875

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )-4 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+3 y \left (t \right ) \end {array}\right ] \]

16876

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]

16877

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

16878

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )+2 \sin \left (t \right ) \end {array}\right ] \]
i.c.

16879

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-4 y \left (t \right )+2 t \\ y^{\prime }\left (t \right )=x \left (t \right )-3 y \left (t \right )-3 \end {array}\right ] \]
i.c.

16880

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )+y \left (t \right )+1 \\ y^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right )-3 \end {array}\right ] \]

16881

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )-4 y \left (t \right )-4 \\ y^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right )-6 \end {array}\right ] \]

16882

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-\frac {x \left (t \right )}{4}-\frac {3 y \left (t \right )}{4}+8 \\ y^{\prime }\left (t \right )=\frac {x \left (t \right )}{2}+y \left (t \right )-\frac {23}{2} \end {array}\right ] \]

16883

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right )+y \left (t \right )-11 \\ y^{\prime }\left (t \right )=-5 x \left (t \right )+4 y \left (t \right )-35 \end {array}\right ] \]

16884

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right )-3 \\ y^{\prime }\left (t \right )=-x \left (t \right )+y \left (t \right )+1 \end {array}\right ] \]

16885

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-5 x \left (t \right )+4 y \left (t \right )-35 \\ y^{\prime }\left (t \right )=-2 x \left (t \right )+y \left (t \right )-11 \end {array}\right ] \]

16886

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]

16887

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )-4 y \left (t \right ) \end {array}\right ] \]

16888

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]

16889

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=4 x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]

16890

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 x \left (t \right )-3 y \left (t \right ) \\ y^{\prime }\left (t \right )=8 x \left (t \right )-6 y \left (t \right ) \end {array}\right ] \]

16891

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]

16892

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=\frac {5 x \left (t \right )}{4}+\frac {3 y \left (t \right )}{4} \\ y^{\prime }\left (t \right )=\frac {3 x \left (t \right )}{4}+\frac {5 y \left (t \right )}{4} \end {array}\right ] \]

16893

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-\frac {3 x \left (t \right )}{4}-\frac {7 y \left (t \right )}{4} \\ y^{\prime }\left (t \right )=\frac {x \left (t \right )}{4}+\frac {5 y \left (t \right )}{4} \end {array}\right ] \]

16894

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-\frac {x \left (t \right )}{4}-\frac {3 y \left (t \right )}{4} \\ y^{\prime }\left (t \right )=\frac {x \left (t \right )}{2}+y \left (t \right ) \end {array}\right ] \]

16895

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=5 x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

16896

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=-5 x \left (t \right )+4 y \left (t \right ) \end {array}\right ] \]

16897

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )+6 y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]

16898

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )-4 y \left (t \right ) \end {array}\right ] \]
i.c.

16899

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]
i.c.

16900

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=5 x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=3 x \left (t \right )+y \left (t \right ) \end {array}\right ] \]
i.c.

16901

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-2 x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=-5 x \left (t \right )+4 y \left (t \right ) \end {array}\right ] \]
i.c.

16902

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=4 x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

16903

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )-4 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

16904

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )-5 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]

16905

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )-\frac {5 y \left (t \right )}{2} \\ y^{\prime }\left (t \right )=\frac {9 x \left (t \right )}{5}-y \left (t \right ) \end {array}\right ] \]

16906

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=5 x \left (t \right )-3 y \left (t \right ) \end {array}\right ] \]

16907

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-5 x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

16908

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )-4 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right ) \end {array}\right ] \]
i.c.

16909

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )-5 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]
i.c.

16910

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-5 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-3 y \left (t \right ) \end {array}\right ] \]
i.c.

16911

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 x \left (t \right )+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )-y \left (t \right ) \end {array}\right ] \]
i.c.

16912

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=\frac {3 x \left (t \right )}{4}-2 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-\frac {5 y \left (t \right )}{4} \end {array}\right ] \]

16913

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-\frac {4 x \left (t \right )}{5}+2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )+\frac {6 y \left (t \right )}{5} \end {array}\right ] \]

16914

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=a x \left (t \right )+y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )+a y \left (t \right ) \end {array}\right ] \]

16915

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-5 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+a y \left (t \right ) \end {array}\right ] \]

16916

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )-5 y \left (t \right ) \\ y^{\prime }\left (t \right )=a x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]

16917

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=\frac {5 x \left (t \right )}{4}+\frac {3 y \left (t \right )}{4} \\ y^{\prime }\left (t \right )=a x \left (t \right )+\frac {5 y \left (t \right )}{4} \end {array}\right ] \]

16918

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )+a y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

16919

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )+a y \left (t \right ) \\ y^{\prime }\left (t \right )=-6 x \left (t \right )-4 y \left (t \right ) \end {array}\right ] \]

16920

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=a x \left (t \right )+10 y \left (t \right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )-4 y \left (t \right ) \end {array}\right ] \]

16921

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=4 x \left (t \right )+a y \left (t \right ) \\ y^{\prime }\left (t \right )=8 x \left (t \right )-6 y \left (t \right ) \end {array}\right ] \]

16922

\[ {}\left [\begin {array}{c} i^{\prime }\left (t \right )=\frac {i \left (t \right )}{2}-\frac {v \left (t \right )}{8} \\ v^{\prime }\left (t \right )=2 i \left (t \right )-\frac {v \left (t \right )}{2} \end {array}\right ] \]

16923

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )-4 y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-y \left (t \right ) \end {array}\right ] \]

16924

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=\frac {5 x \left (t \right )}{4}+\frac {3 y \left (t \right )}{4} \\ y^{\prime }\left (t \right )=-\frac {3 x \left (t \right )}{4}-\frac {y \left (t \right )}{4} \end {array}\right ] \]

16925

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-\frac {3 x \left (t \right )}{2}+y \left (t \right ) \\ y^{\prime }\left (t \right )=-\frac {x \left (t \right )}{4}-\frac {y \left (t \right )}{2} \end {array}\right ] \]

16926

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 x \left (t \right )+\frac {5 y \left (t \right )}{2} \\ y^{\prime }\left (t \right )=-\frac {5 x \left (t \right )}{2}+2 y \left (t \right ) \end {array}\right ] \]

16927

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )-\frac {y \left (t \right )}{2} \\ y^{\prime }\left (t \right )=2 x \left (t \right )-3 y \left (t \right ) \end {array}\right ] \]

16928

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+\frac {y \left (t \right )}{2} \\ y^{\prime }\left (t \right )=-\frac {x \left (t \right )}{2}+y \left (t \right ) \end {array}\right ] \]

16929

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-4 y \left (t \right ) \\ y^{\prime }\left (t \right )=4 x \left (t \right )-7 y \left (t \right ) \end {array}\right ] \]
i.c.

16930

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-\frac {5 x \left (t \right )}{2}+\frac {3 y \left (t \right )}{2} \\ y^{\prime }\left (t \right )=-\frac {3 x \left (t \right )}{2}+\frac {y \left (t \right )}{2} \end {array}\right ] \]
i.c.

16931

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+\frac {3 y \left (t \right )}{2} \\ y^{\prime }\left (t \right )=-\frac {3 x \left (t \right )}{2}-y \left (t \right ) \end {array}\right ] \]
i.c.

16932

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=\frac {5 x \left (t \right )}{4}+\frac {3 y \left (t \right )}{4} \\ y^{\prime }\left (t \right )=-\frac {3 x \left (t \right )}{4}-\frac {y \left (t \right )}{4} \end {array}\right ] \]
i.c.

16933

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-3 x \left (t \right )+\frac {5 y \left (t \right )}{2} \\ y^{\prime }\left (t \right )=-\frac {5 x \left (t \right )}{2}+2 y \left (t \right ) \end {array}\right ] \]
i.c.

16934

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )+\frac {y \left (t \right )}{2} \\ y^{\prime }\left (t \right )=-\frac {x \left (t \right )}{2}+y \left (t \right ) \end {array}\right ] \]
i.c.

16935

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right ) \\ y^{\prime }\left (t \right )=-2 y \left (t \right ) \end {array}\right ] \]
i.c.

16936

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right ) \\ y^{\prime }\left (t \right )=2 y \left (t \right ) \end {array}\right ] \]
i.c.

16937

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right ) \\ y^{\prime }\left (t \right )=-2 y \left (t \right ) \end {array}\right ] \]
i.c.

16938

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 y \left (t \right ) \\ y^{\prime }\left (t \right )=8 x \left (t \right ) \end {array}\right ] \]
i.c.

16939

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 y \left (t \right ) \\ y^{\prime }\left (t \right )=8 x \left (t \right ) \end {array}\right ] \]
i.c.

16940

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 y \left (t \right ) \\ y^{\prime }\left (t \right )=-8 x \left (t \right ) \end {array}\right ] \]
i.c.

16941

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )-y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]

16942

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right )-x \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )+y \left (t \right ) \end {array}\right ] \]

16943

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )-4 y \left (t \right ) \\ y^{\prime }\left (t \right )=2 x \left (t \right )-2 y \left (t \right ) \end {array}\right ] \]

16944

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )+y \left (t \right )+x \left (t \right )^{2} \\ y^{\prime }\left (t \right )=y \left (t \right )-2 x \left (t \right ) y \left (t \right ) \end {array}\right ] \]

16945

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2 x \left (t \right )^{2} y \left (t \right )-3 x \left (t \right )^{2}-4 y \left (t \right ) \\ y^{\prime }\left (t \right )=-2 x \left (t \right ) y \left (t \right )^{2}+6 x \left (t \right ) y \left (t \right ) \end {array}\right ] \]

16946

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=3 x \left (t \right )-x \left (t \right )^{2} \\ y^{\prime }\left (t \right )=2 x \left (t \right ) y \left (t \right )-3 y \left (t \right )+2 \end {array}\right ] \]

16947

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-x \left (t \right ) y \left (t \right ) \\ y^{\prime }\left (t \right )=y \left (t \right )+2 x \left (t \right ) y \left (t \right ) \end {array}\right ] \]

16948

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=2-y \left (t \right ) \\ y^{\prime }\left (t \right )=y \left (t \right )-x \left (t \right )^{2} \end {array}\right ] \]

16949

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right )-x \left (t \right )^{2}-x \left (t \right ) y \left (t \right ) \\ y^{\prime }\left (t \right )=\frac {y \left (t \right )}{2}-\frac {y \left (t \right )^{2}}{4}-\frac {3 x \left (t \right ) y \left (t \right )}{4} \end {array}\right ] \]

16950

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-\left (x \left (t \right )-y \left (t \right )\right ) \left (1-x \left (t \right )-y \left (t \right )\right ) \\ y^{\prime }\left (t \right )=x \left (t \right ) \left (2+y \left (t \right )\right ) \end {array}\right ] \]

16951

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right ) \left (2-x \left (t \right )-y \left (t \right )\right ) \\ y^{\prime }\left (t \right )=-x \left (t \right )-y \left (t \right )-2 x \left (t \right ) y \left (t \right ) \end {array}\right ] \]

16952

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=\left (2+x \left (t \right )\right ) \left (y \left (t \right )-x \left (t \right )\right ) \\ y^{\prime }\left (t \right )=y \left (t \right )-x \left (t \right )^{2}-y \left (t \right )^{2} \end {array}\right ] \]

16953

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=-x \left (t \right )+2 x \left (t \right ) y \left (t \right ) \\ y^{\prime }\left (t \right )=y \left (t \right )-x \left (t \right )^{2}-y \left (t \right )^{2} \end {array}\right ] \]

16954

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=y \left (t \right ) \\ y^{\prime }\left (t \right )=x \left (t \right )-\frac {x \left (t \right )^{3}}{5}-\frac {y \left (t \right )}{5} \end {array}\right ] \]

16956

\[ {}\left [\begin {array}{c} x^{\prime }\left (t \right )=x \left (t \right ) \left (1-x \left (t \right )-y \left (t \right )\right ) \\ y^{\prime }\left (t \right )=y \left (t \right ) \left (\frac {3}{4}-y \left (t \right )-\frac {x \left (t \right )}{2}\right ) \end {array}\right ] \]

17150

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-5 y_{1} \left (t \right )+y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=-9 y_{1} \left (t \right )+5 y_{2} \left (t \right ) \end {array}\right ] \]
i.c.

17151

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=5 y_{1} \left (t \right )-2 y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=6 y_{1} \left (t \right )-2 y_{2} \left (t \right ) \end {array}\right ] \]
i.c.

17152

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=4 y_{1} \left (t \right )-4 y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=5 y_{1} \left (t \right )-4 y_{2} \left (t \right ) \end {array}\right ] \]
i.c.

17153

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=6 y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=-6 y_{1} \left (t \right ) \end {array}\right ] \]
i.c.

17154

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-4 y_{1} \left (t \right )-y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=y_{1} \left (t \right )-2 y_{2} \left (t \right ) \end {array}\right ] \]
i.c.

17155

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=2 y_{1} \left (t \right )-64 y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=y_{1} \left (t \right )-14 y_{2} \left (t \right ) \end {array}\right ] \]
i.c.

17156

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-4 y_{1} \left (t \right )-y_{2} \left (t \right )+2 \,{\mathrm e}^{t} \\ y_{2}^{\prime }\left (t \right )=y_{1} \left (t \right )-2 y_{2} \left (t \right )+\sin \left (2 t \right ) \end {array}\right ] \]
i.c.

17157

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=5 y_{1} \left (t \right )-y_{2} \left (t \right )+{\mathrm e}^{-t} \\ y_{2}^{\prime }\left (t \right )=y_{1} \left (t \right )+3 y_{2} \left (t \right )+2 \,{\mathrm e}^{t} \end {array}\right ] \]
i.c.

17158

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-y_{1} \left (t \right )-5 y_{2} \left (t \right )+3 \\ y_{2}^{\prime }\left (t \right )=y_{1} \left (t \right )+3 y_{2} \left (t \right )+5 \cos \left (t \right ) \end {array}\right ] \]
i.c.

17159

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=-2 y_{1} \left (t \right )+y_{2} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=y_{1} \left (t \right )-2 y_{2} \left (t \right )+\sin \left (t \right ) \end {array}\right ] \]
i.c.

17160

\[ {}\left [\begin {array}{c} y_{1}^{\prime }\left (t \right )=y_{2} \left (t \right )-y_{3} \left (t \right ) \\ y_{2}^{\prime }\left (t \right )=y_{1} \left (t \right )+y_{3} \left (t \right )-{\mathrm e}^{-t} \\ y_{3}^{\prime }\left (t \right )=y_{1} \left (t \right )+y_{2} \left (t \right )+{\mathrm e}^{t} \end {array}\right ] \]
i.c.

17204

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-x_{2} \left (t \right )+x_{3} \left (t \right ) \end {array}\right ] \]

17205

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-x_{2} \left (t \right )+4 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+2 x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right )-x_{3} \left (t \right ) \end {array}\right ] \]

17218

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right ) \end {array}\right ] \]

17219

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+2 x_{2} \left (t \right )+4 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+2 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+2 x_{2} \left (t \right )+3 x_{3} \left (t \right ) \end {array}\right ] \]

17226

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-4 x_{1} \left (t \right )+x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-5 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{2} \left (t \right )-4 x_{3} \left (t \right ) \end {array}\right ] \]

17227

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+4 x_{2} \left (t \right )+4 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=3 x_{2} \left (t \right )+2 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{2} \left (t \right )+3 x_{3} \left (t \right ) \end {array}\right ] \]

17228

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-4 x_{2} \left (t \right )+2 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-4 x_{1} \left (t \right )+2 x_{2} \left (t \right )-2 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-2 x_{2} \left (t \right )-x_{3} \left (t \right ) \end {array}\right ] \]

17229

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+2 x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+3 x_{2} \left (t \right )-2 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+4 x_{2} \left (t \right )-3 x_{3} \left (t \right ) \end {array}\right ] \]

17230

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )+6 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+6 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=6 x_{1} \left (t \right )+x_{2} \left (t \right )+x_{3} \left (t \right ) \end {array}\right ] \]

17231

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+2 x_{2} \left (t \right )+4 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+2 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=4 x_{1} \left (t \right )+2 x_{2} \left (t \right )+3 x_{3} \left (t \right ) \end {array}\right ] \]

17232

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-8 x_{1} \left (t \right )-5 x_{2} \left (t \right )-3 x_{3} \left (t \right ) \end {array}\right ] \]

17233

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-x_{2} \left (t \right )+4 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+2 x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right )-x_{3} \left (t \right ) \end {array}\right ] \]

17234

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )+2 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{2} \left (t \right )+2 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-x_{1} \left (t \right )+x_{2} \left (t \right )+3 x_{3} \left (t \right ) \end {array}\right ] \]
i.c.

17235

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-x_{1} \left (t \right )+2 x_{2} \left (t \right )+4 x_{3} \left (t \right ) \end {array}\right ] \]
i.c.

17236

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+3 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-2 x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-x_{3} \left (t \right ) \end {array}\right ] \]
i.c.

17237

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=\frac {x_{1} \left (t \right )}{2}-x_{2} \left (t \right )-\frac {3 x_{3} \left (t \right )}{2} \\ x_{2}^{\prime }\left (t \right )=\frac {3 x_{1} \left (t \right )}{2}-2 x_{2} \left (t \right )-\frac {3 x_{3} \left (t \right )}{2} \\ x_{3}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+2 x_{2} \left (t \right )+x_{3} \left (t \right ) \end {array}\right ] \]
i.c.

17238

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+5 x_{2} \left (t \right )+3 x_{3} \left (t \right )-5 x_{4} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+3 x_{2} \left (t \right )+2 x_{3} \left (t \right )-4 x_{4} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-x_{2} \left (t \right )-2 x_{3} \left (t \right )+x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+4 x_{2} \left (t \right )+2 x_{3} \left (t \right )-5 x_{4} \left (t \right ) \end {array}\right ] \]

17239

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-5 x_{1} \left (t \right )+x_{2} \left (t \right )-4 x_{3} \left (t \right )-x_{4} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-3 x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )-x_{2} \left (t \right )+x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-x_{2} \left (t \right )+2 x_{3} \left (t \right )-2 x_{4} \left (t \right ) \end {array}\right ] \]

17240

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+2 x_{2} \left (t \right )-x_{4} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-x_{2} \left (t \right )+2 x_{4} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=3 x_{3} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=-x_{1} \left (t \right )+2 x_{2} \left (t \right )+2 x_{4} \left (t \right ) \end {array}\right ] \]

17241

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+8 x_{2} \left (t \right )+5 x_{3} \left (t \right )+3 x_{4} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+16 x_{2} \left (t \right )+10 x_{3} \left (t \right )+6 x_{4} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=5 x_{1} \left (t \right )-14 x_{2} \left (t \right )-11 x_{3} \left (t \right )-3 x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=-x_{1} \left (t \right )-8 x_{2} \left (t \right )-5 x_{3} \left (t \right )-3 x_{4} \left (t \right ) \end {array}\right ] \]

17242

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+2 x_{2} \left (t \right )-2 x_{4} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-x_{1} \left (t \right )+3 x_{2} \left (t \right )-x_{3} \left (t \right )+x_{4} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )-2 x_{2} \left (t \right )-4 x_{3} \left (t \right )+2 x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=-7 x_{1} \left (t \right )+x_{2} \left (t \right )-7 x_{3} \left (t \right )+3 x_{4} \left (t \right ) \end {array}\right ] \]

17243

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-5 x_{1} \left (t \right )-2 x_{2} \left (t \right )-x_{3} \left (t \right )+2 x_{4} \left (t \right )+3 x_{5} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-3 x_{2} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )-x_{3} \left (t \right )-x_{5} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right )-4 x_{4} \left (t \right )-2 x_{5} \left (t \right ) \\ x_{5}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )-2 x_{2} \left (t \right )-x_{3} \left (t \right )+2 x_{4} \left (t \right )+x_{5} \left (t \right ) \end {array}\right ] \]

17244

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-3 x_{2} \left (t \right )-2 x_{3} \left (t \right )+3 x_{4} \left (t \right )+2 x_{5} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=8 x_{1} \left (t \right )+6 x_{2} \left (t \right )+4 x_{3} \left (t \right )-8 x_{4} \left (t \right )-16 x_{5} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-8 x_{1} \left (t \right )-8 x_{2} \left (t \right )-6 x_{3} \left (t \right )+8 x_{4} \left (t \right )-16 x_{5} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=8 x_{1} \left (t \right )+7 x_{2} \left (t \right )+4 x_{3} \left (t \right )-9 x_{4} \left (t \right )-16 x_{5} \left (t \right ) \\ x_{5}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )-5 x_{2} \left (t \right )-3 x_{3} \left (t \right )+5 x_{4} \left (t \right )+7 x_{5} \left (t \right ) \end {array}\right ] \]

17245

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+2 x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )+2 x_{2} \left (t \right )+2 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-3 x_{2} \left (t \right )-3 x_{3} \left (t \right ) \end {array}\right ] \]

17246

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-4 x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )+3 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-4 x_{2} \left (t \right )-2 x_{3} \left (t \right ) \end {array}\right ] \]

17247

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-2 x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=x_{1} \left (t \right )-x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=x_{1} \left (t \right )-2 x_{2} \left (t \right )-2 x_{3} \left (t \right ) \end {array}\right ] \]

17248

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-4 x_{1} \left (t \right )+2 x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-6 x_{1} \left (t \right )-3 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=\frac {8 x_{2} \left (t \right )}{3}-2 x_{3} \left (t \right ) \end {array}\right ] \]

17249

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-7 x_{1} \left (t \right )+6 x_{2} \left (t \right )-6 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-9 x_{1} \left (t \right )+5 x_{2} \left (t \right )-9 x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-x_{2} \left (t \right )-x_{3} \left (t \right ) \end {array}\right ] \]

17250

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=\frac {4 x_{1} \left (t \right )}{3}+\frac {4 x_{2} \left (t \right )}{3}-\frac {11 x_{3} \left (t \right )}{3} \\ x_{2}^{\prime }\left (t \right )=-\frac {16 x_{1} \left (t \right )}{3}-\frac {x_{2} \left (t \right )}{3}+\frac {14 x_{3} \left (t \right )}{3} \\ x_{3}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-2 x_{2} \left (t \right )-2 x_{3} \left (t \right ) \end {array}\right ] \]

17251

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )+x_{2} \left (t \right )+x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-8 x_{1} \left (t \right )-5 x_{2} \left (t \right )-3 x_{3} \left (t \right ) \end {array}\right ] \]

17252

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=x_{1} \left (t \right )-x_{2} \left (t \right )+4 x_{3} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=3 x_{1} \left (t \right )+2 x_{2} \left (t \right )-x_{3} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=2 x_{1} \left (t \right )+x_{2} \left (t \right )-x_{3} \left (t \right ) \end {array}\right ] \]

17253

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=\frac {3 x_{1} \left (t \right )}{4}+\frac {29 x_{2} \left (t \right )}{4}-\frac {11 x_{3} \left (t \right )}{2} \\ x_{2}^{\prime }\left (t \right )=-\frac {3 x_{1} \left (t \right )}{4}+\frac {3 x_{2} \left (t \right )}{4}-\frac {5 x_{3} \left (t \right )}{2} \\ x_{3}^{\prime }\left (t \right )=\frac {5 x_{1} \left (t \right )}{4}+\frac {11 x_{2} \left (t \right )}{4}-\frac {5 x_{3} \left (t \right )}{2} \end {array}\right ] \]

17254

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )-x_{2} \left (t \right )+4 x_{3} \left (t \right )+2 x_{4} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-19 x_{1} \left (t \right )-6 x_{2} \left (t \right )+6 x_{3} \left (t \right )+16 x_{4} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-9 x_{1} \left (t \right )-x_{2} \left (t \right )+x_{3} \left (t \right )+6 x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=-5 x_{1} \left (t \right )-3 x_{2} \left (t \right )+6 x_{3} \left (t \right )+5 x_{4} \left (t \right ) \end {array}\right ] \]

17255

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )+6 x_{2} \left (t \right )+2 x_{3} \left (t \right )-2 x_{4} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-3 x_{2} \left (t \right )-6 x_{3} \left (t \right )+2 x_{4} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-4 x_{1} \left (t \right )+8 x_{2} \left (t \right )+3 x_{3} \left (t \right )-4 x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-2 x_{2} \left (t \right )-6 x_{3} \left (t \right )+x_{4} \left (t \right ) \end {array}\right ] \]

17256

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )-4 x_{2} \left (t \right )+5 x_{3} \left (t \right )+9 x_{4} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )-5 x_{2} \left (t \right )+4 x_{3} \left (t \right )+12 x_{4} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-2 x_{1} \left (t \right )-x_{3} \left (t \right )+2 x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=-2 x_{2} \left (t \right )+2 x_{3} \left (t \right )+3 x_{4} \left (t \right ) \end {array}\right ] \]

17257

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=-3 x_{1} \left (t \right )-5 x_{2} \left (t \right )+8 x_{3} \left (t \right )+14 x_{4} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-6 x_{1} \left (t \right )-8 x_{2} \left (t \right )+11 x_{3} \left (t \right )+27 x_{4} \left (t \right ) \\ x_{3}^{\prime }\left (t \right )=-6 x_{1} \left (t \right )-4 x_{2} \left (t \right )+7 x_{3} \left (t \right )+17 x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=-2 x_{2} \left (t \right )+2 x_{3} \left (t \right )+4 x_{4} \left (t \right ) \end {array}\right ] \]

17258

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{2} \left (t \right )-2 x_{4} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=-\frac {x_{1} \left (t \right )}{2}+x_{2} \left (t \right )-3 x_{3} \left (t \right )-\frac {5 x_{4} \left (t \right )}{2} \\ x_{3}^{\prime }\left (t \right )=3 x_{2} \left (t \right )-5 x_{3} \left (t \right )-3 x_{4} \left (t \right ) \\ x_{4}^{\prime }\left (t \right )=x_{1} \left (t \right )+3 x_{2} \left (t \right )-3 x_{4} \left (t \right ) \end {array}\right ] \]

17259

\[ {}\left [\begin {array}{c} x_{1}^{\prime }\left (t \right )=3 x_{1} \left (t \right )-2 x_{2} \left (t \right ) \\ x_{2}^{\prime }\left (t \right )=2 x_{1} \left (t \right )-2 x_{2} \left (t \right ) \end {array}\right ] \]