Problems 3801 to 3900

2.2.39 Problems 3801 to 3900

Table 2.95: Main lookup table. Sorted sequentially by problem number.


#	ODE	CAS classiﬁcation	Solved?	Maple	Mma	Sympy	time(sec)

3801	\begin{align} y^{\prime \prime }-4 y&=5 \,{\mathrm e}^{x} \\ \end{align}	[[_2nd_order, _with_linear_symmetries]]	✓	✓	✓	✓	0.482

3802	\begin{align} y+2 y^{\prime }+y^{\prime \prime }&=2 x \,{\mathrm e}^{-x} \\ \end{align}	[[_2nd_order, _linear, _nonhomogeneous]]	✓	✓	✓	✓	0.630

3803	\begin{align} y^{\prime \prime }-y&=4 \,{\mathrm e}^{x} \\ \end{align}	[[_2nd_order, _with_linear_symmetries]]	✓	✓	✓	✓	0.658

3804	\begin{align} y^{\prime \prime }+y x&=\sin \left (x \right ) \\ \end{align}	[[_2nd_order, _linear, _nonhomogeneous]]	✓	✓	✓	✓	1.217

3805	\begin{align} 4 y+y^{\prime \prime }&=\ln \left (x \right ) \\ \end{align}	[[_2nd_order, _linear, _nonhomogeneous]]	✓	✓	✓	✓	0.841

3806	\begin{align} y^{\prime \prime }+2 y^{\prime }-3 y&=5 \,{\mathrm e}^{x} \\ \end{align}	[[_2nd_order, _with_linear_symmetries]]	✓	✓	✓	✓	0.593

3807	\begin{align} y^{\prime \prime }+y&=\tan \left (x \right ) \\ \end{align}	[[_2nd_order, _linear, _nonhomogeneous]]	✓	✓	✓	✓	0.602

3808	\begin{align} y^{\prime \prime }+y&=4 \cos \left (2 x \right )+3 \,{\mathrm e}^{x} \\ \end{align}	[[_2nd_order, _linear, _nonhomogeneous]]	✓	✓	✓	✓	0.824

3809	\begin{align} x_{1}^{\prime }&=2 x_{1}+x_{2} \\ x_{2}^{\prime }&=2 x_{1}+3 x_{2} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.479

3810	\begin{align} x_{1}^{\prime }&=2 x_{1}-3 x_{2} \\ x_{2}^{\prime }&=x_{1}-2 x_{2} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.484

3811	\begin{align} x_{1}^{\prime }&=4 x_{1}+2 x_{2} \\ x_{2}^{\prime }&=-x_{1}+x_{2} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.478

3812	\begin{align} x_{1}^{\prime }&=2 x_{1}+4 x_{2} \\ x_{2}^{\prime }&=-4 x_{1}-6 x_{2} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.424

3813	\begin{align} x_{1}^{\prime }&=2 x_{2} \\ x_{2}^{\prime }&=-2 x_{1} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.464

3814	\begin{align} x_{1}^{\prime }&=x_{1}-3 x_{2} \\ x_{2}^{\prime }&=3 x_{1}+x_{2} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.494

3815	\begin{align} x_{1}^{\prime }&=2 x_{1} \\ x_{2}^{\prime }&=x_{2}-x_{3} \\ x_{3}^{\prime }&=x_{2}+x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.772

3816	\begin{align} x_{1}^{\prime }&=-2 x_{1}+x_{2}+x_{3} \\ x_{2}^{\prime }&=x_{1}-x_{2}+3 x_{3} \\ x_{3}^{\prime }&=-x_{2}-3 x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	1.204

3817	\begin{align} x_{1}^{\prime }&=2 x_{2} \\ x_{2}^{\prime }&=x_{1}+x_{2} \\ \end{align} With initial conditions \begin{align} x_{1} \left (0\right ) &= 3 \\ x_{2} \left (0\right ) &= 0 \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.526

3818	\begin{align} x_{1}^{\prime }&=2 x_{1}+5 x_{2} \\ x_{2}^{\prime }&=-x_{1}-2 x_{2} \\ \end{align} With initial conditions \begin{align} x_{1} \left (0\right ) &= 0 \\ x_{2} \left (0\right ) &= 1 \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.527

3819	\begin{align} x_{1}^{\prime }&=2 x_{1}+x_{2} \\ x_{2}^{\prime }&=-x_{1}+4 x_{2} \\ \end{align} With initial conditions \begin{align} x_{1} \left (0\right ) &= 1 \\ x_{2} \left (0\right ) &= 3 \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.437

3820	\begin{align} x_{1}^{\prime }&=x_{1}+2 x_{2}+5 \,{\mathrm e}^{4 t} \\ x_{2}^{\prime }&=2 x_{1}+x_{2} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.730

3821	\begin{align} x_{1}^{\prime }&=-2 x_{1}+x_{2}+t \\ x_{2}^{\prime }&=-2 x_{1}+x_{2}+1 \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.693

3822	\begin{align} x_{1}^{\prime }&=x_{1}+x_{2}+{\mathrm e}^{2 t} \\ x_{2}^{\prime }&=3 x_{1}-x_{2}+5 \,{\mathrm e}^{2 t} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.807

3823	\begin{align} x_{1}^{\prime }&=-\tan \left (t \right ) x_{1}+3 \cos \left (t \right )^{2} \\ x_{2}^{\prime }&=x_{1}+\tan \left (t \right ) x_{2}+2 \sin \left (t \right ) \\ \end{align} With initial conditions \begin{align} x_{1} \left (0\right ) &= 4 \\ x_{2} \left (0\right ) &= 0 \\ \end{align}	system_of_ODEs	✗	✓	✓	✓	0.049

3824	\begin{align} x_{1}^{\prime }&=2 x_{1}-4 x_{2} \\ x_{2}^{\prime }&=x_{1}-3 x_{2} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.484

3825	\begin{align} x_{1}^{\prime }&=x_{2} \\ x_{2}^{\prime }&=-b x_{1}-a x_{2} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.996

3826	\begin{align} x_{1}^{\prime }&=3 x_{2} \\ x_{2}^{\prime }&=-3 x_{1} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.461

3827	\begin{align} x_{1}^{\prime }&=-2 x_{1}+3 x_{2} \\ x_{2}^{\prime }&=-2 x_{1}+5 x_{2} \\ \end{align} With initial conditions \begin{align} x_{1} \left (0\right ) &= -2 \\ x_{2} \left (0\right ) &= 1 \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.540

3828	\begin{align} x_{1}^{\prime }&=x_{1}-2 x_{2} \\ x_{2}^{\prime }&=2 x_{1}+x_{2} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.481

3829	\begin{align} x_{1}^{\prime }&=3 x_{1}+x_{2} \\ x_{2}^{\prime }&=-x_{1}+x_{2} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.381

3830	\begin{align} x_{1}^{\prime }&=2 x_{1}-x_{2}+3 x_{3} \\ x_{2}^{\prime }&=3 x_{1}+x_{2} \\ x_{3}^{\prime }&=2 x_{1}-x_{2}+3 x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.851

3831	\begin{align} x_{1}^{\prime }&=\frac {x_{1}}{t} \\ x_{2}^{\prime }&=x_{2} \\ \end{align}	system_of_ODEs	✗	✓	✓	✓	0.035

3832	\begin{align} x_{1}^{\prime }&=\frac {x_{1}}{t}+x_{2} t \\ x_{2}^{\prime }&=-\frac {x_{1}}{t} \\ \end{align}	system_of_ODEs	✗	✓	✓	✓	0.039

3833	\begin{align} x_{1}^{\prime }&=-x_{1}+2 x_{2} \\ x_{2}^{\prime }&=2 x_{1}+2 x_{2} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.483

3834	\begin{align} x_{1}^{\prime }&=-2 x_{1}-7 x_{2} \\ x_{2}^{\prime }&=-x_{1}+4 x_{2} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.475

3835	\begin{align} x_{1}^{\prime }&=-4 x_{2} \\ x_{2}^{\prime }&=4 x_{1} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.463

3836	\begin{align} x_{1}^{\prime }&=x_{1}-2 x_{2} \\ x_{2}^{\prime }&=5 x_{1}-5 x_{2} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.647

3837	\begin{align} x_{1}^{\prime }&=-x_{1}+2 x_{2} \\ x_{2}^{\prime }&=-2 x_{1}-x_{2} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.489

3838	\begin{align} x_{1}^{\prime }&=2 x_{1} \\ x_{2}^{\prime }&=5 x_{2}-7 x_{3} \\ x_{3}^{\prime }&=2 x_{2}-4 x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.759

3839	\begin{align} x_{1}^{\prime }&=-x_{1} \\ x_{2}^{\prime }&=x_{1}+5 x_{2}-x_{3} \\ x_{3}^{\prime }&=x_{1}+6 x_{2}-2 x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.678

3840	\begin{align} x_{1}^{\prime }&=x_{2} \\ x_{2}^{\prime }&=-x_{1} \\ x_{3}^{\prime }&=5 x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.770

3841	\begin{align} x_{1}^{\prime }&=2 x_{1}+3 x_{3} \\ x_{2}^{\prime }&=-4 x_{2} \\ x_{3}^{\prime }&=-3 x_{1}+2 x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.786

3842	\begin{align} x_{1}^{\prime }&=3 x_{1}+2 x_{2}+6 x_{3} \\ x_{2}^{\prime }&=-2 x_{1}+x_{2}-2 x_{3} \\ x_{3}^{\prime }&=-x_{1}-2 x_{2}-4 x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.898

3843	\begin{align} x_{1}^{\prime }&=-3 x_{2}+x_{3} \\ x_{2}^{\prime }&=-2 x_{1}-x_{2}+x_{3} \\ x_{3}^{\prime }&=2 x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.703

3844	\begin{align} x_{1}^{\prime }&=3 x_{1}-x_{3} \\ x_{2}^{\prime }&=-3 x_{2}-x_{3} \\ x_{3}^{\prime }&=2 x_{2}-x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	1.020

3845	\begin{align} x_{1}^{\prime }&=x_{1}+x_{2}-x_{3} \\ x_{2}^{\prime }&=x_{1}+x_{2}+x_{3} \\ x_{3}^{\prime }&=-x_{1}+x_{2}+x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.684

3846	\begin{align} x_{1}^{\prime }&=2 x_{1}-x_{2}+3 x_{3} \\ x_{2}^{\prime }&=2 x_{1}-x_{2}+3 x_{3} \\ x_{3}^{\prime }&=2 x_{1}-x_{2}+3 x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.665

3847	\begin{align} x_{1}^{\prime }&=x_{1}+2 x_{2}+3 x_{3}+4 x_{4} \\ x_{2}^{\prime }&=4 x_{1}+3 x_{2}+2 x_{3}+x_{4} \\ x_{3}^{\prime }&=4 x_{1}+5 x_{2}+6 x_{3}+7 x_{4} \\ x_{4}^{\prime }&=7 x_{1}+6 x_{2}+5 x_{3}+4 x_{4} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	1.403

3848	\begin{align} x_{1}^{\prime }&=x_{2} \\ x_{2}^{\prime }&=-x_{1} \\ x_{3}^{\prime }&=-x_{4} \\ x_{4}^{\prime }&=x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.858

3849	\begin{align} x_{1}^{\prime }&=-x_{1}+4 x_{2} \\ x_{2}^{\prime }&=2 x_{1}-3 x_{2} \\ \end{align} With initial conditions \begin{align} x_{1} \left (0\right ) &= 3 \\ x_{2} \left (0\right ) &= 0 \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.519

3850	\begin{align} x_{1}^{\prime }&=-x_{1}-6 x_{2} \\ x_{2}^{\prime }&=3 x_{1}+5 x_{2} \\ \end{align} With initial conditions \begin{align} x_{1} \left (0\right ) &= 2 \\ x_{2} \left (0\right ) &= 2 \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.672

3851	\begin{align} x_{1}^{\prime }&=2 x_{1}-x_{2}+3 x_{3} \\ x_{2}^{\prime }&=3 x_{1}+x_{2} \\ x_{3}^{\prime }&=2 x_{1}-x_{2}+3 x_{3} \\ \end{align} With initial conditions \begin{align} x_{1} \left (0\right ) &= -4 \\ x_{2} \left (0\right ) &= 4 \\ x_{3} \left (0\right ) &= 4 \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.832

3852	\begin{align} x_{1}^{\prime }&=4 x_{2} \\ x_{2}^{\prime }&=-4 x_{1} \\ \end{align} With initial conditions \begin{align} x_{1} \left (0\right ) &= 1 \\ x_{2} \left (0\right ) &= 1 \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.516

3853	\begin{align} x_{1}^{\prime }&=x_{2} \\ x_{2}^{\prime }&=-b x_{1}-a x_{2} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.697

3854	\begin{align} x_{1}^{\prime }&=x_{1}+x_{2} \\ x_{2}^{\prime }&=-x_{1}+3 x_{2} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.386

3855	\begin{align} x_{1}^{\prime }&=-2 x_{2} \\ x_{2}^{\prime }&=2 x_{1}+4 x_{2} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.409

3856	\begin{align} x_{1}^{\prime }&=-3 x_{1}-2 x_{2} \\ x_{2}^{\prime }&=2 x_{1}+x_{2} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.414

3857	\begin{align} x_{1}^{\prime }&=x_{2} \\ x_{2}^{\prime }&=x_{3} \\ x_{3}^{\prime }&=x_{1}+x_{2}-x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.769

3858	\begin{align} x_{1}^{\prime }&=2 x_{1}+2 x_{2}-x_{3} \\ x_{2}^{\prime }&=2 x_{1}+x_{2}-x_{3} \\ x_{3}^{\prime }&=2 x_{1}+3 x_{2}-x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.787

3859	\begin{align} x_{1}^{\prime }&=-2 x_{1} \\ x_{2}^{\prime }&=x_{1}-3 x_{2}-x_{3} \\ x_{3}^{\prime }&=-x_{1}+x_{2}-x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.639

3860	\begin{align} x_{1}^{\prime }&=15 x_{1}-32 x_{2}+12 x_{3} \\ x_{2}^{\prime }&=8 x_{1}-17 x_{2}+6 x_{3} \\ x_{3}^{\prime }&=-x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.716

3861	\begin{align} x_{1}^{\prime }&=4 x_{1} \\ x_{2}^{\prime }&=x_{1}+4 x_{2} \\ x_{3}^{\prime }&=x_{2}+4 x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.575

3862	\begin{align} x_{1}^{\prime }&=x_{1} \\ x_{2}^{\prime }&=3 x_{2}+2 x_{3} \\ x_{3}^{\prime }&=2 x_{1}-2 x_{2}-x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.638

3863	\begin{align} x_{1}^{\prime }&=3 x_{1}+x_{2} \\ x_{2}^{\prime }&=-x_{1}+5 x_{2} \\ x_{3}^{\prime }&=4 x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.619

3864	\begin{align} x_{1}^{\prime }&=-x_{1}+x_{2} \\ x_{2}^{\prime }&=-2 x_{1}-3 x_{2}+x_{3} \\ x_{3}^{\prime }&=x_{1}+x_{2}-2 x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.696

3865	\begin{align} x_{1}^{\prime }&=-x_{2} \\ x_{2}^{\prime }&=x_{1} \\ x_{3}^{\prime }&=x_{1}+2 x_{3}+x_{4} \\ x_{4}^{\prime }&=x_{2}+2 x_{4} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	1.421

3866	\begin{align} x_{1}^{\prime }&=-2 x_{1}+3 x_{2} \\ x_{2}^{\prime }&=3 x_{1}-2 x_{2} \\ x_{3}^{\prime }&=x_{1}+x_{3}+x_{4} \\ x_{4}^{\prime }&=x_{2}+x_{4} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	1.159

3867	\begin{align} x_{1}^{\prime }&=-x_{2} \\ x_{2}^{\prime }&=x_{1} \\ x_{3}^{\prime }&=x_{1}-x_{4} \\ x_{4}^{\prime }&=x_{2}+x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.895

3868	\begin{align} x_{1}^{\prime }&=-2 x_{1}-x_{2} \\ x_{2}^{\prime }&=x_{1}-4 x_{2} \\ \end{align} With initial conditions \begin{align} x_{1} \left (0\right ) &= 0 \\ x_{2} \left (0\right ) &= -1 \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.618

3869	\begin{align} x_{1}^{\prime }&=-2 x_{1}-x_{2}+4 x_{3} \\ x_{2}^{\prime }&=-x_{2} \\ x_{3}^{\prime }&=-x_{1}-3 x_{2}+2 x_{3} \\ \end{align} With initial conditions \begin{align} x_{1} \left (0\right ) &= -2 \\ x_{2} \left (0\right ) &= 1 \\ x_{3} \left (0\right ) &= 1 \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.767

3870	\begin{align} x_{1}^{\prime }&=4 x_{1}-3 x_{2}+{\mathrm e}^{2 t} \\ x_{2}^{\prime }&=2 x_{1}-x_{2}+{\mathrm e}^{t} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.793

3871	\begin{align} x_{1}^{\prime }&=2 x_{1}-x_{2} \\ x_{2}^{\prime }&=-x_{1}+2 x_{2}+4 \,{\mathrm e}^{t} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.714

3872	\begin{align} x_{1}^{\prime }&=3 x_{1}+x_{2}+t \,{\mathrm e}^{3 t} \\ x_{2}^{\prime }&=3 x_{2}+{\mathrm e}^{3 t} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.556

3873	\begin{align} x_{1}^{\prime }&=-x_{1}+x_{2}+20 \,{\mathrm e}^{3 t} \\ x_{2}^{\prime }&=3 x_{1}+x_{2}+12 \,{\mathrm e}^{t} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.867

3874	\begin{align} x_{1}^{\prime }&=-x_{1}+2 x_{2}+54 t \,{\mathrm e}^{3 t} \\ x_{2}^{\prime }&=-2 x_{1}+4 x_{2}+9 \,{\mathrm e}^{3 t} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.781

3875	\begin{align} x_{1}^{\prime }&=2 x_{1}+4 x_{2}+8 \sin \left (2 t \right ) \\ x_{2}^{\prime }&=-2 x_{1}-2 x_{2}+8 \cos \left (2 t \right ) \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	1.263

3876	\begin{align} x_{1}^{\prime }&=3 x_{1}+2 x_{2}-3 \,{\mathrm e}^{t} \\ x_{2}^{\prime }&=-2 x_{1}-x_{2}+6 \,{\mathrm e}^{t} t \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.688

3877	\begin{align} x_{1}^{\prime }&=x_{1}-{\mathrm e}^{t} \\ x_{2}^{\prime }&=2 x_{1}-3 x_{2}+2 x_{3}+6 \,{\mathrm e}^{-t} \\ x_{3}^{\prime }&=x_{1}-2 x_{2}+2 x_{3}+{\mathrm e}^{t} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	1.079

3878	\begin{align} x_{1}^{\prime }&=-x_{1}-2 x_{2}+2 x_{3}-{\mathrm e}^{3 t} \\ x_{2}^{\prime }&=2 x_{1}+4 x_{2}-x_{3}+4 \,{\mathrm e}^{3 t} \\ x_{3}^{\prime }&=3 x_{3}+3 \,{\mathrm e}^{3 t} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	1.037

3879	\begin{align} x_{1}^{\prime }&=2 x_{1}-3 x_{2}+34 \sin \left (t \right ) \\ x_{2}^{\prime }&=-4 x_{1}-2 x_{2}+17 \cos \left (t \right ) \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	1.129

3880	\begin{align} x_{1}^{\prime }&=2 x_{1}+x_{2} \\ x_{2}^{\prime }&=2 x_{2} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.343

3881	\begin{align} x_{1}^{\prime }&=x_{1}+2 x_{2} \\ x_{2}^{\prime }&=-x_{2} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.425

3882	\begin{align} x_{1}^{\prime }&=3 x_{1} \\ x_{2}^{\prime }&=3 x_{2}-x_{3} \\ x_{3}^{\prime }&=x_{2}+x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.618

3883	\begin{align} x_{1}^{\prime }&=-3 x_{1}-2 x_{2} \\ x_{2}^{\prime }&=2 x_{1}+x_{2} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.387

3884	\begin{align} x_{1}^{\prime }&=3 x_{1}-x_{2} \\ x_{2}^{\prime }&=4 x_{1}-x_{2} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.418

3885	\begin{align} x_{1}^{\prime }&=2 x_{1} \\ x_{2}^{\prime }&=x_{2}-8 x_{3} \\ x_{3}^{\prime }&=2 x_{2}-7 x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.678

3886	\begin{align} x_{1}^{\prime }&=x_{2}+3 x_{3} \\ x_{2}^{\prime }&=2 x_{1}+3 x_{2}-2 x_{3} \\ x_{3}^{\prime }&=2 x_{2}+2 x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✗	14.293

3887	\begin{align} x_{1}^{\prime }&=-8 x_{1}+6 x_{2}-3 x_{3} \\ x_{2}^{\prime }&=-12 x_{1}+10 x_{2}-3 x_{3} \\ x_{3}^{\prime }&=-2 x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.773

3888	\begin{align} x_{1}^{\prime }&=x_{1} \\ x_{2}^{\prime }&=6 x_{2}-7 x_{3}+3 x_{4} \\ x_{3}^{\prime }&=3 x_{3}-x_{4} \\ x_{4}^{\prime }&=-4 x_{2}+9 x_{3}-3 x_{4} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	1.226

3889	\begin{align} x_{1}^{\prime }&=-x_{2} \\ x_{2}^{\prime }&=x_{1} \\ x_{3}^{\prime }&=x_{2}-x_{4} \\ x_{4}^{\prime }&=x_{2}+x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.983

3890	\begin{align} x_{1}^{\prime }&=\left (2 t -1\right ) x_{1} \\ x_{2}^{\prime }&={\mathrm e}^{-t^{2}+t} x_{1}+x_{2} \\ \end{align}	system_of_ODEs	✗	✓	✓	✓	0.043

3891	\begin{align} x_{1}^{\prime }&=t \cot \left (t^{2}\right ) x_{1}+\frac {t \cos \left (t^{2}\right ) x_{3}}{2} \\ x_{2}^{\prime }&=\frac {x_{2}}{t}-x_{3}+2-t \sin \left (t \right ) \\ x_{3}^{\prime }&=\csc \left (t^{2}\right ) x_{1}+x_{2}-x_{3}+1-\cos \left (t \right ) t \\ \end{align}	system_of_ODEs	✗	✗	✗	✗	0.066

3892	\begin{align} x_{1}^{\prime }&=-6 x_{1}+x_{2} \\ x_{2}^{\prime }&=6 x_{1}-5 x_{2} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.528

3893	\begin{align} x_{1}^{\prime }&=9 x_{1}-2 x_{2} \\ x_{2}^{\prime }&=5 x_{1}-2 x_{2} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.519

3894	\begin{align} x_{1}^{\prime }&=10 x_{1}-4 x_{2} \\ x_{2}^{\prime }&=4 x_{1}+2 x_{2} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.411

3895	\begin{align} x_{1}^{\prime }&=-8 x_{1}+5 x_{2} \\ x_{2}^{\prime }&=-5 x_{1}+2 x_{2} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.415

3896	\begin{align} x_{1}^{\prime }&=3 x_{1}+4 x_{3} \\ x_{2}^{\prime }&=2 x_{2} \\ x_{3}^{\prime }&=-4 x_{1}-5 x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.690

3897	\begin{align} x_{1}^{\prime }&=-3 x_{1}-x_{2} \\ x_{2}^{\prime }&=4 x_{1}-7 x_{2} \\ x_{3}^{\prime }&=6 x_{1}+6 x_{2}+4 x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.826

3898	\begin{align} x_{1}^{\prime }&=3 x_{1}+13 x_{2} \\ x_{2}^{\prime }&=-x_{1}-3 x_{2} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.612

3899	\begin{align} x_{1}^{\prime }&=-3 x_{1}-10 x_{2} \\ x_{2}^{\prime }&=5 x_{1}+11 x_{2} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	0.692

3900	\begin{align} x_{1}^{\prime }&=-x_{1}-5 x_{2}+x_{3} \\ x_{2}^{\prime }&=4 x_{1}-9 x_{2}-x_{3} \\ x_{3}^{\prime }&=3 x_{3} \\ \end{align}	system_of_ODEs	✓	✓	✓	✓	1.109

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