4.3.58 Problems 5701 to 5800

Table 4.479: Second order ode

#

ODE

Mathematica

Maple

Sympy

16603

\[ {} y^{\prime \prime }+2 y^{\prime }-24 y = 0 \]

16604

\[ {} y^{\prime \prime }-25 y = 0 \]

16605

\[ {} y^{\prime \prime }+3 y^{\prime } = 0 \]

16606

\[ {} 4 y^{\prime \prime }-y = 0 \]

16607

\[ {} 3 y^{\prime \prime }+7 y^{\prime }-6 y = 0 \]

16608

\[ {} y^{\prime \prime }-8 y^{\prime }+15 y = 0 \]

16609

\[ {} y^{\prime \prime }-8 y^{\prime }+15 y = 0 \]

16610

\[ {} y^{\prime \prime }-8 y^{\prime }+15 y = 0 \]

16611

\[ {} y^{\prime \prime }-9 y = 0 \]

16612

\[ {} y^{\prime \prime }-9 y = 0 \]

16613

\[ {} y^{\prime \prime }-9 y = 0 \]

16614

\[ {} y^{\prime \prime }-10 y^{\prime }+25 y = 0 \]

16615

\[ {} y^{\prime \prime }+2 y^{\prime }+y = 0 \]

16616

\[ {} 4 y^{\prime \prime }-4 y^{\prime }+y = 0 \]

16617

\[ {} 25 y^{\prime \prime }-10 y^{\prime }+y = 0 \]

16618

\[ {} 16 y^{\prime \prime }-24 y^{\prime }+9 y = 0 \]

16619

\[ {} 9 y^{\prime \prime }+12 y^{\prime }+4 y = 0 \]

16620

\[ {} y^{\prime \prime }-8 y^{\prime }+16 y = 0 \]

16621

\[ {} y^{\prime \prime }-8 y^{\prime }+16 y = 0 \]

16622

\[ {} y^{\prime \prime }-8 y^{\prime }+16 y = 0 \]

16623

\[ {} 4 y^{\prime \prime }+4 y^{\prime }+y = 0 \]

16624

\[ {} 4 y^{\prime \prime }+4 y^{\prime }+y = 0 \]

16625

\[ {} 4 y^{\prime \prime }+4 y^{\prime }+y = 0 \]

16626

\[ {} y^{\prime \prime }+25 y = 0 \]

16627

\[ {} y^{\prime \prime }+2 y^{\prime }+5 y = 0 \]

16628

\[ {} y^{\prime \prime }-2 y^{\prime }+5 y = 0 \]

16629

\[ {} y^{\prime \prime }-4 y^{\prime }+29 y = 0 \]

16630

\[ {} 9 y^{\prime \prime }+18 y^{\prime }+10 y = 0 \]

16631

\[ {} 4 y^{\prime \prime }+y = 0 \]

16632

\[ {} y^{\prime \prime }+16 y = 0 \]

16633

\[ {} y^{\prime \prime }+16 y = 0 \]

16634

\[ {} y^{\prime \prime }+16 y = 0 \]

16635

\[ {} y^{\prime \prime }-4 y^{\prime }+13 y = 0 \]

16636

\[ {} y^{\prime \prime }-4 y^{\prime }+13 y = 0 \]

16637

\[ {} y^{\prime \prime }-4 y^{\prime }+13 y = 0 \]

16638

\[ {} y^{\prime \prime }-y^{\prime }+\left (\frac {1}{4}+4 \pi ^{2}\right ) y = 0 \]

16639

\[ {} y^{\prime \prime }-y^{\prime }+\left (\frac {1}{4}+4 \pi ^{2}\right ) y = 0 \]

16666

\[ {} x^{2} y^{\prime \prime }-5 x y^{\prime }+8 y = 0 \]

16667

\[ {} x^{2} y^{\prime \prime }-2 y = 0 \]

16668

\[ {} x^{2} y^{\prime \prime }-2 x y^{\prime } = 0 \]

16669

\[ {} 2 x^{2} y^{\prime \prime }-x y^{\prime }+y = 0 \]

16670

\[ {} x^{2} y^{\prime \prime }-5 x y^{\prime }+9 y = 0 \]

16671

\[ {} x^{2} y^{\prime \prime }+5 x y^{\prime }+4 y = 0 \]

16672

\[ {} 4 x^{2} y^{\prime \prime }+y = 0 \]

16673

\[ {} x^{2} y^{\prime \prime }-19 x y^{\prime }+100 y = 0 \]

16674

\[ {} x^{2} y^{\prime \prime }-5 x y^{\prime }+29 y = 0 \]

16675

\[ {} x^{2} y^{\prime \prime }-x y^{\prime }+10 y = 0 \]

16676

\[ {} x^{2} y^{\prime \prime }+5 x y^{\prime }+29 y = 0 \]

16677

\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+y = 0 \]

16678

\[ {} 2 x^{2} y^{\prime \prime }+5 x y^{\prime }+y = 0 \]

16679

\[ {} 4 x^{2} y^{\prime \prime }+37 y = 0 \]

16680

\[ {} x^{2} y^{\prime \prime }+x y^{\prime } = 0 \]

16681

\[ {} x^{2} y^{\prime \prime }+x y^{\prime }-25 y = 0 \]

16682

\[ {} 4 x^{2} y^{\prime \prime }+8 x y^{\prime }+5 y = 0 \]

16683

\[ {} 3 x^{2} y^{\prime \prime }-7 x y^{\prime }+3 y = 0 \]

16684

\[ {} x^{2} y^{\prime \prime }-2 x y^{\prime }-10 y = 0 \]

16685

\[ {} 4 x^{2} y^{\prime \prime }+4 x y^{\prime }-y = 0 \]

16686

\[ {} x^{2} y^{\prime \prime }-11 x y^{\prime }+36 y = 0 \]

16687

\[ {} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0 \]

16688

\[ {} x^{2} y^{\prime \prime }-x y^{\prime }+2 y = 0 \]

16689

\[ {} x^{2} y^{\prime \prime }-3 x y^{\prime }+13 y = 0 \]

16698

\[ {} y^{\prime \prime }+4 y = 24 \,{\mathrm e}^{2 x} \]

16699

\[ {} y^{\prime \prime }+4 y = 24 \,{\mathrm e}^{2 x} \]

16700

\[ {} y^{\prime \prime }+2 y^{\prime }-8 y = 8 x^{2}-3 \]

16701

\[ {} y^{\prime \prime }+2 y^{\prime }-8 y = 8 x^{2}-3 \]

16702

\[ {} y^{\prime \prime }-9 y = 36 \]

16703

\[ {} y^{\prime \prime }-3 y^{\prime }-10 y = -6 \,{\mathrm e}^{4 x} \]

16704

\[ {} y^{\prime \prime }-3 y^{\prime }-10 y = 7 \,{\mathrm e}^{5 x} \]

16705

\[ {} y^{\prime \prime }+6 y^{\prime }+9 y = 169 \sin \left (2 x \right ) \]

16706

\[ {} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 10 x +12 \]

16708

\[ {} y^{\prime \prime }-3 y^{\prime }-10 y = {\mathrm e}^{4 x} \]

16709

\[ {} y^{\prime \prime }-3 y^{\prime }-10 y = {\mathrm e}^{5 x} \]

16710

\[ {} y^{\prime \prime }-3 y^{\prime }-10 y = -18 \,{\mathrm e}^{4 x}+14 \,{\mathrm e}^{5 x} \]

16711

\[ {} y^{\prime \prime }-3 y^{\prime }-10 y = 35 \,{\mathrm e}^{5 x}+12 \,{\mathrm e}^{4 x} \]

16712

\[ {} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 1 \]

16713

\[ {} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = x \]

16714

\[ {} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 22 x +24 \]

16715

\[ {} x^{2} y^{\prime \prime }-7 x y^{\prime }+15 y = x^{2} \]

16716

\[ {} x^{2} y^{\prime \prime }-7 x y^{\prime }+15 y = x \]

16717

\[ {} x^{2} y^{\prime \prime }-7 x y^{\prime }+15 y = 1 \]

16718

\[ {} x^{2} y^{\prime \prime }-7 x y^{\prime }+15 y = 4 x^{2}+2 x +3 \]

16719

\[ {} y^{\prime \prime }+9 y = 52 \,{\mathrm e}^{2 x} \]

16720

\[ {} y^{\prime \prime }-6 y^{\prime }+9 y = 27 \,{\mathrm e}^{6 x} \]

16721

\[ {} y^{\prime \prime }+4 y^{\prime }-5 y = 30 \,{\mathrm e}^{-4 x} \]

16722

\[ {} y^{\prime \prime }+3 y^{\prime } = {\mathrm e}^{\frac {x}{2}} \]

16723

\[ {} y^{\prime \prime }-3 y^{\prime }-10 y = -5 \,{\mathrm e}^{3 x} \]

16724

\[ {} y^{\prime \prime }+9 y = 10 \cos \left (2 x \right )+15 \sin \left (2 x \right ) \]

16725

\[ {} y^{\prime \prime }-6 y^{\prime }+9 y = 25 \sin \left (6 x \right ) \]

16726

\[ {} y^{\prime \prime }+3 y^{\prime } = 26 \cos \left (\frac {x}{3}\right )-12 \sin \left (\frac {x}{3}\right ) \]

16727

\[ {} y^{\prime \prime }+4 y^{\prime }-5 y = \cos \left (x \right ) \]

16728

\[ {} y^{\prime \prime }-3 y^{\prime }-10 y = -4 \cos \left (x \right )+7 \sin \left (x \right ) \]

16729

\[ {} y^{\prime \prime }-3 y^{\prime }-10 y = -200 \]

16730

\[ {} y^{\prime \prime }+4 y^{\prime }-5 y = x^{3} \]

16731

\[ {} y^{\prime \prime }-6 y^{\prime }+9 y = 18 x^{2}+3 x +4 \]

16732

\[ {} y^{\prime \prime }+9 y = 9 x^{4}-9 \]

16733

\[ {} y^{\prime \prime }+9 y = x^{3} \]

16734

\[ {} y^{\prime \prime }+9 y = 25 x \cos \left (2 x \right ) \]

16735

\[ {} y^{\prime \prime }-6 y^{\prime }+9 y = {\mathrm e}^{2 x} \sin \left (x \right ) \]

16736

\[ {} y^{\prime \prime }+9 y = 54 x^{2} {\mathrm e}^{3 x} \]

16737

\[ {} y^{\prime \prime } = 6 \,{\mathrm e}^{x} \sin \left (x \right ) x \]