Problems 3801 to 3900

Table 2.79: Main lookup table. Sorted sequentially by problem number.


#	ODE	CAS classiﬁcation	Solved?	time (sec)

3801	$y^{'''} + 9 y^{''} + 24 y^{'} + 16 y = 8 e^{- x} + 1$	[[_3rd_order, _with_linear_symmetries]]	✓	0.179

3802	$y^{''} - 4 y = 5 e^{x}$	[[_2nd_order, _with_linear_symmetries]]	✓	0.479

3803	$y^{''} + 2 y^{'} + y = 2 x e^{- x}$	[[_2nd_order, _linear, _nonhomogeneous]]	✓	0.607

3804	$y^{''} - y = 4 e^{x}$	[[_2nd_order, _with_linear_symmetries]]	✓	0.592

3805	$y^{''} + x y = \sin (x)$	[[_2nd_order, _linear, _nonhomogeneous]]	✓	0.985

3806	$y^{''} + 4 y = \ln (x)$	[[_2nd_order, _linear, _nonhomogeneous]]	✓	1.003

3807	$y^{''} + 2 y^{'} - 3 y = 5 e^{x}$	[[_2nd_order, _with_linear_symmetries]]	✓	0.592

3808	$y^{''} + y = \tan (x)$	[[_2nd_order, _linear, _nonhomogeneous]]	✓	0.760

3809	$y^{''} + y = 4 \cos (2 x) + 3 e^{x}$	[[_2nd_order, _linear, _nonhomogeneous]]	✓	0.905

3810	$[\begin{matrix} x_{1}^{'} = 2 x_{1} + x_{2} \\ x_{2}^{'} = 2 x_{1} + 3 x_{2} \end{matrix}]$	system_of_ODEs	✓	0.428

3811	$[\begin{matrix} x_{1}^{'} = 2 x_{1} - 3 x_{2} \\ x_{2}^{'} = x_{1} - 2 x_{2} \end{matrix}]$	system_of_ODEs	✓	0.403

3812	$[\begin{matrix} x_{1}^{'} = 4 x_{1} + 2 x_{2} \\ x_{2}^{'} = - x_{1} + x_{2} \end{matrix}]$	system_of_ODEs	✓	0.354

3813	$[\begin{matrix} x_{1}^{'} = 2 x_{1} + 4 x_{2} \\ x_{2}^{'} = - 4 x_{1} - 6 x_{2} \end{matrix}]$	system_of_ODEs	✓	0.351

3814	$[\begin{matrix} x_{1}^{'} = 2 x_{2} \\ x_{2}^{'} = - 2 x_{1} \end{matrix}]$	system_of_ODEs	✓	0.368

3815	$[\begin{matrix} x_{1}^{'} = x_{1} - 3 x_{2} \\ x_{2}^{'} = 3 x_{1} + x_{2} \end{matrix}]$	system_of_ODEs	✓	0.492

3816	$[\begin{matrix} x_{1}^{'} = 2 x_{1} \\ x_{2}^{'} = x_{2} - x_{3} \\ x_{3}^{'} = x_{2} + x_{3} \end{matrix}]$	system_of_ODEs	✓	0.537

3817	$[\begin{matrix} x_{1}^{'} = - 2 x_{1} + x_{2} + x_{3} \\ x_{2}^{'} = x_{1} - x_{2} + 3 x_{3} \\ x_{3}^{'} = - x_{2} - 3 x_{3} \end{matrix}]$	system_of_ODEs	✓	0.823

3818	$[\begin{matrix} x_{1}^{'} = 2 x_{2} \\ x_{2}^{'} = x_{1} + x_{2} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.417

3819	$[\begin{matrix} x_{1}^{'} = 2 x_{1} + 5 x_{2} \\ x_{2}^{'} = - x_{1} - 2 x_{2} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.534

3820	$[\begin{matrix} x_{1}^{'} = 2 x_{1} + x_{2} \\ x_{2}^{'} = - x_{1} + 4 x_{2} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.475

3821	$[\begin{matrix} x_{1}^{'} = x_{1} + 2 x_{2} + 5 e^{4 t} \\ x_{2}^{'} = 2 x_{1} + x_{2} \end{matrix}]$	system_of_ODEs	✓	0.755

3822	$[\begin{matrix} x_{1}^{'} = - 2 x_{1} + x_{2} + t \\ x_{2}^{'} = - 2 x_{1} + x_{2} + 1 \end{matrix}]$	system_of_ODEs	✓	0.505

3823	$[\begin{matrix} x_{1}^{'} = x_{1} + x_{2} + e^{2 t} \\ x_{2}^{'} = 3 x_{1} - x_{2} + 5 e^{2 t} \end{matrix}]$	system_of_ODEs	✓	0.817

3824	$[\begin{matrix} x_{1}^{'} = - \tan (t) x_{1} + 3 \cos {(t)}^{2} \\ x_{2}^{'} = x_{1} + \tan (t) x_{2} + 2 \sin (t) \end{matrix}]$ i.c.	system_of_ODEs	✓	0.070

3825	$[\begin{matrix} x_{1}^{'} = 2 x_{1} - 4 x_{2} \\ x_{2}^{'} = x_{1} - 3 x_{2} \end{matrix}]$	system_of_ODEs	✓	0.353

3826	$[\begin{matrix} x_{1}^{'} = x_{2} \\ x_{2}^{'} = - b x_{1} - a x_{2} \end{matrix}]$	system_of_ODEs	✓	0.783

3827	$[\begin{matrix} x_{1}^{'} = 3 x_{2} \\ x_{2}^{'} = - 3 x_{1} \end{matrix}]$	system_of_ODEs	✓	0.445

3828	$[\begin{matrix} x_{1}^{'} = - 2 x_{1} + 3 x_{2} \\ x_{2}^{'} = - 2 x_{1} + 5 x_{2} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.520

3829	$[\begin{matrix} x_{1}^{'} = x_{1} - 2 x_{2} \\ x_{2}^{'} = 2 x_{1} + x_{2} \end{matrix}]$	system_of_ODEs	✓	0.448

3830	$[\begin{matrix} x_{1}^{'} = 3 x_{1} + x_{2} \\ x_{2}^{'} = - x_{1} + x_{2} \end{matrix}]$	system_of_ODEs	✓	0.353

3831	$[\begin{matrix} x_{1}^{'} = 2 x_{1} - x_{2} + 3 x_{3} \\ x_{2}^{'} = 3 x_{1} + x_{2} \\ x_{3}^{'} = 2 x_{1} - x_{2} + 3 x_{3} \end{matrix}]$	system_of_ODEs	✓	0.549

3832	$[\begin{matrix} x_{1}^{'} = \frac{x_{1}}{t} \\ x_{2}^{'} = x_{2} \end{matrix}]$	system_of_ODEs	✓	0.065

3833	$[\begin{matrix} x_{1}^{'} = \frac{x_{1}}{t} + x_{2} t \\ x_{2}^{'} = - \frac{x_{1}}{t} \end{matrix}]$	system_of_ODEs	✓	0.059

3834	$[\begin{matrix} x_{1}^{'} = - x_{1} + 2 x_{2} \\ x_{2}^{'} = 2 x_{1} + 2 x_{2} \end{matrix}]$	system_of_ODEs	✓	0.406

3835	$[\begin{matrix} x_{1}^{'} = - 2 x_{1} - 7 x_{2} \\ x_{2}^{'} = - x_{1} + 4 x_{2} \end{matrix}]$	system_of_ODEs	✓	0.352

3836	$[\begin{matrix} x_{1}^{'} = - 4 x_{2} \\ x_{2}^{'} = 4 x_{1} \end{matrix}]$	system_of_ODEs	✓	0.447

3837	$[\begin{matrix} x_{1}^{'} = x_{1} - 2 x_{2} \\ x_{2}^{'} = 5 x_{1} - 5 x_{2} \end{matrix}]$	system_of_ODEs	✓	0.542

3838	$[\begin{matrix} x_{1}^{'} = - x_{1} + 2 x_{2} \\ x_{2}^{'} = - 2 x_{1} - x_{2} \end{matrix}]$	system_of_ODEs	✓	0.483

3839	$[\begin{matrix} x_{1}^{'} = 2 x_{1} \\ x_{2}^{'} = 5 x_{2} - 7 x_{3} \\ x_{3}^{'} = 2 x_{2} - 4 x_{3} \end{matrix}]$	system_of_ODEs	✓	0.531

3840	$[\begin{matrix} x_{1}^{'} = - x_{1} \\ x_{2}^{'} = x_{1} + 5 x_{2} - x_{3} \\ x_{3}^{'} = x_{1} + 6 x_{2} - 2 x_{3} \end{matrix}]$	system_of_ODEs	✓	0.489

3841	$[\begin{matrix} x_{1}^{'} = x_{2} \\ x_{2}^{'} = - x_{1} \\ x_{3}^{'} = 5 x_{3} \end{matrix}]$	system_of_ODEs	✓	0.538

3842	$[\begin{matrix} x_{1}^{'} = 2 x_{1} + 3 x_{3} \\ x_{2}^{'} = - 4 x_{2} \\ x_{3}^{'} = - 3 x_{1} + 2 x_{3} \end{matrix}]$	system_of_ODEs	✓	0.548

3843	$[\begin{matrix} x_{1}^{'} = 3 x_{1} + 2 x_{2} + 6 x_{3} \\ x_{2}^{'} = - 2 x_{1} + x_{2} - 2 x_{3} \\ x_{3}^{'} = - x_{1} - 2 x_{2} - 4 x_{3} \end{matrix}]$	system_of_ODEs	✓	0.633

3844	$[\begin{matrix} x_{1}^{'} = - 3 x_{2} + x_{3} \\ x_{2}^{'} = - 2 x_{1} - x_{2} + x_{3} \\ x_{3}^{'} = 2 x_{3} \end{matrix}]$	system_of_ODEs	✓	0.509

3845	$[\begin{matrix} x_{1}^{'} = 3 x_{1} - x_{3} \\ x_{2}^{'} = - 3 x_{2} - x_{3} \\ x_{3}^{'} = 2 x_{2} - x_{3} \end{matrix}]$	system_of_ODEs	✓	0.791

3846	$[\begin{matrix} x_{1}^{'} = x_{1} + x_{2} - x_{3} \\ x_{2}^{'} = x_{1} + x_{2} + x_{3} \\ x_{3}^{'} = - x_{1} + x_{2} + x_{3} \end{matrix}]$	system_of_ODEs	✓	0.512

3847	$[\begin{matrix} x_{1}^{'} = 2 x_{1} - x_{2} + 3 x_{3} \\ x_{2}^{'} = 2 x_{1} - x_{2} + 3 x_{3} \\ x_{3}^{'} = 2 x_{1} - x_{2} + 3 x_{3} \end{matrix}]$	system_of_ODEs	✓	0.446

3848	$[\begin{matrix} x_{1}^{'} = x_{1} + 2 x_{2} + 3 x_{3} + 4 x_{4} \\ x_{2}^{'} = 4 x_{1} + 3 x_{2} + 2 x_{3} + x_{4} \\ x_{3}^{'} = 4 x_{1} + 5 x_{2} + 6 x_{3} + 7 x_{4} \\ x_{4}^{'} = 7 x_{1} + 6 x_{2} + 5 x_{3} + 4 x_{4} \end{matrix}]$	system_of_ODEs	✓	0.913

3849	$[\begin{matrix} x_{1}^{'} = x_{2} \\ x_{2}^{'} = - x_{1} \\ x_{3}^{'} = - x_{4} \\ x_{4}^{'} = x_{3} \end{matrix}]$	system_of_ODEs	✓	0.612

3850	$[\begin{matrix} x_{1}^{'} = - x_{1} + 4 x_{2} \\ x_{2}^{'} = 2 x_{1} - 3 x_{2} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.504

3851	$[\begin{matrix} x_{1}^{'} = - x_{1} - 6 x_{2} \\ x_{2}^{'} = 3 x_{1} + 5 x_{2} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.608

3852	$[\begin{matrix} x_{1}^{'} = 2 x_{1} - x_{2} + 3 x_{3} \\ x_{2}^{'} = 3 x_{1} + x_{2} \\ x_{3}^{'} = 2 x_{1} - x_{2} + 3 x_{3} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.619

3853	$[\begin{matrix} x_{1}^{'} = 4 x_{2} \\ x_{2}^{'} = - 4 x_{1} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.488

3854	$[\begin{matrix} x_{1}^{'} = x_{2} \\ x_{2}^{'} = - b x_{1} - a x_{2} \end{matrix}]$	system_of_ODEs	✓	0.789

3855	$[\begin{matrix} x_{1}^{'} = x_{1} + x_{2} \\ x_{2}^{'} = - x_{1} + 3 x_{2} \end{matrix}]$	system_of_ODEs	✓	0.357

3856	$[\begin{matrix} x_{1}^{'} = - 2 x_{2} \\ x_{2}^{'} = 2 x_{1} + 4 x_{2} \end{matrix}]$	system_of_ODEs	✓	0.320

3857	$[\begin{matrix} x_{1}^{'} = - 3 x_{1} - 2 x_{2} \\ x_{2}^{'} = 2 x_{1} + x_{2} \end{matrix}]$	system_of_ODEs	✓	0.340

3858	$[\begin{matrix} x_{1}^{'} = x_{2} \\ x_{2}^{'} = x_{3} \\ x_{3}^{'} = x_{1} + x_{2} - x_{3} \end{matrix}]$	system_of_ODEs	✓	0.532

3859	$[\begin{matrix} x_{1}^{'} = 2 x_{1} + 2 x_{2} - x_{3} \\ x_{2}^{'} = 2 x_{1} + x_{2} - x_{3} \\ x_{3}^{'} = 2 x_{1} + 3 x_{2} - x_{3} \end{matrix}]$	system_of_ODEs	✓	0.479

3860	$[\begin{matrix} x_{1}^{'} = - 2 x_{1} \\ x_{2}^{'} = x_{1} - 3 x_{2} - x_{3} \\ x_{3}^{'} = - x_{1} + x_{2} - x_{3} \end{matrix}]$	system_of_ODEs	✓	0.430

3861	$[\begin{matrix} x_{1}^{'} = 15 x_{1} - 32 x_{2} + 12 x_{3} \\ x_{2}^{'} = 8 x_{1} - 17 x_{2} + 6 x_{3} \\ x_{3}^{'} = - x_{3} \end{matrix}]$	system_of_ODEs	✓	0.470

3862	$[\begin{matrix} x_{1}^{'} = 4 x_{1} \\ x_{2}^{'} = x_{1} + 4 x_{2} \\ x_{3}^{'} = x_{2} + 4 x_{3} \end{matrix}]$	system_of_ODEs	✓	0.391

3863	$[\begin{matrix} x_{1}^{'} = x_{1} \\ x_{2}^{'} = 3 x_{2} + 2 x_{3} \\ x_{3}^{'} = 2 x_{1} - 2 x_{2} - x_{3} \end{matrix}]$	system_of_ODEs	✓	0.433

3864	$[\begin{matrix} x_{1}^{'} = 3 x_{1} + x_{2} \\ x_{2}^{'} = - x_{1} + 5 x_{2} \\ x_{3}^{'} = 4 x_{3} \end{matrix}]$	system_of_ODEs	✓	0.435

3865	$[\begin{matrix} x_{1}^{'} = - x_{1} + x_{2} \\ x_{2}^{'} = - 2 x_{1} - 3 x_{2} + x_{3} \\ x_{3}^{'} = x_{1} + x_{2} - 2 x_{3} \end{matrix}]$	system_of_ODEs	✓	0.462

3866	$[\begin{matrix} x_{1}^{'} = - x_{2} \\ x_{2}^{'} = x_{1} \\ x_{3}^{'} = x_{1} + 2 x_{3} + x_{4} \\ x_{4}^{'} = x_{2} + 2 x_{4} \end{matrix}]$	system_of_ODEs	✓	0.945

3867	$[\begin{matrix} x_{1}^{'} = - 2 x_{1} + 3 x_{2} \\ x_{2}^{'} = 3 x_{1} - 2 x_{2} \\ x_{3}^{'} = x_{1} + x_{3} + x_{4} \\ x_{4}^{'} = x_{2} + x_{4} \end{matrix}]$	system_of_ODEs	✓	0.765

3868	$[\begin{matrix} x_{1}^{'} = - x_{2} \\ x_{2}^{'} = x_{1} \\ x_{3}^{'} = x_{1} - x_{4} \\ x_{4}^{'} = x_{2} + x_{3} \end{matrix}]$	system_of_ODEs	✓	0.601

3869	$[\begin{matrix} x_{1}^{'} = - 2 x_{1} - x_{2} \\ x_{2}^{'} = x_{1} - 4 x_{2} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.474

3870	$[\begin{matrix} x_{1}^{'} = - 2 x_{1} - x_{2} + 4 x_{3} \\ x_{2}^{'} = - x_{2} \\ x_{3}^{'} = - x_{1} - 3 x_{2} + 2 x_{3} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.449

3871	$[\begin{matrix} x_{1}^{'} = 4 x_{1} - 3 x_{2} + e^{2 t} \\ x_{2}^{'} = 2 x_{1} - x_{2} + e^{t} \end{matrix}]$	system_of_ODEs	✓	0.572

3872	$[\begin{matrix} x_{1}^{'} = 2 x_{1} - x_{2} \\ x_{2}^{'} = - x_{1} + 2 x_{2} + 4 e^{t} \end{matrix}]$	system_of_ODEs	✓	0.673

3873	$[\begin{matrix} x_{1}^{'} = 3 x_{1} + x_{2} + t e^{3 t} \\ x_{2}^{'} = 3 x_{2} + e^{3 t} \end{matrix}]$	system_of_ODEs	✓	0.480

3874	$[\begin{matrix} x_{1}^{'} = - x_{1} + x_{2} + 20 e^{3 t} \\ x_{2}^{'} = 3 x_{1} + x_{2} + 12 e^{t} \end{matrix}]$	system_of_ODEs	✓	0.962

3875	$[\begin{matrix} x_{1}^{'} = - x_{1} + 2 x_{2} + 54 t e^{3 t} \\ x_{2}^{'} = - 2 x_{1} + 4 x_{2} + 9 e^{3 t} \end{matrix}]$	system_of_ODEs	✓	0.553

3876	$[\begin{matrix} x_{1}^{'} = 2 x_{1} + 4 x_{2} + 8 \sin (2 t) \\ x_{2}^{'} = - 2 x_{1} - 2 x_{2} + 8 \cos (2 t) \end{matrix}]$	system_of_ODEs	✓	1.276

3877	$[\begin{matrix} x_{1}^{'} = 3 x_{1} + 2 x_{2} - 3 e^{t} \\ x_{2}^{'} = - 2 x_{1} - x_{2} + 6 e^{t} t \end{matrix}]$	system_of_ODEs	✓	0.532

3878	$[\begin{matrix} x_{1}^{'} = x_{1} - e^{t} \\ x_{2}^{'} = 2 x_{1} - 3 x_{2} + 2 x_{3} + 6 e^{- t} \\ x_{3}^{'} = x_{1} - 2 x_{2} + 2 x_{3} + e^{t} \end{matrix}]$	system_of_ODEs	✓	0.793

3879	$[\begin{matrix} x_{1}^{'} = - x_{1} - 2 x_{2} + 2 x_{3} - e^{3 t} \\ x_{2}^{'} = 2 x_{1} + 4 x_{2} - x_{3} + 4 e^{3 t} \\ x_{3}^{'} = 3 x_{3} + 3 e^{3 t} \end{matrix}]$	system_of_ODEs	✓	0.719

3880	$[\begin{matrix} x_{1}^{'} = 2 x_{1} - 3 x_{2} + 34 \sin (t) \\ x_{2}^{'} = - 4 x_{1} - 2 x_{2} + 17 \cos (t) \end{matrix}]$	system_of_ODEs	✓	0.971

3881	$[\begin{matrix} x_{1}^{'} = 2 x_{1} + x_{2} \\ x_{2}^{'} = 2 x_{2} \end{matrix}]$	system_of_ODEs	✓	0.296

3882	$[\begin{matrix} x_{1}^{'} = x_{1} + 2 x_{2} \\ x_{2}^{'} = - x_{2} \end{matrix}]$	system_of_ODEs	✓	0.383

3883	$[\begin{matrix} x_{1}^{'} = 3 x_{1} \\ x_{2}^{'} = 3 x_{2} - x_{3} \\ x_{3}^{'} = x_{2} + x_{3} \end{matrix}]$	system_of_ODEs	✓	0.438

3884	$[\begin{matrix} x_{1}^{'} = - 3 x_{1} - 2 x_{2} \\ x_{2}^{'} = 2 x_{1} + x_{2} \end{matrix}]$	system_of_ODEs	✓	0.322

3885	$[\begin{matrix} x_{1}^{'} = 3 x_{1} - x_{2} \\ x_{2}^{'} = 4 x_{1} - x_{2} \end{matrix}]$	system_of_ODEs	✓	0.390

3886	$[\begin{matrix} x_{1}^{'} = 2 x_{1} \\ x_{2}^{'} = x_{2} - 8 x_{3} \\ x_{3}^{'} = 2 x_{2} - 7 x_{3} \end{matrix}]$	system_of_ODEs	✓	0.495

3887	$[\begin{matrix} x_{1}^{'} = x_{2} + 3 x_{3} \\ x_{2}^{'} = 2 x_{1} + 3 x_{2} - 2 x_{3} \\ x_{3}^{'} = 2 x_{2} + 2 x_{3} \end{matrix}]$	system_of_ODEs	✓	9.977

3888	$[\begin{matrix} x_{1}^{'} = - 8 x_{1} + 6 x_{2} - 3 x_{3} \\ x_{2}^{'} = - 12 x_{1} + 10 x_{2} - 3 x_{3} \\ x_{3}^{'} = - 2 x_{3} \end{matrix}]$	system_of_ODEs	✓	0.513

3889	$[\begin{matrix} x_{1}^{'} = x_{1} \\ x_{2}^{'} = 6 x_{2} - 7 x_{3} + 3 x_{4} \\ x_{3}^{'} = 3 x_{3} - x_{4} \\ x_{4}^{'} = - 4 x_{2} + 9 x_{3} - 3 x_{4} \end{matrix}]$	system_of_ODEs	✓	0.776

3890	$[\begin{matrix} x_{1}^{'} = - x_{2} \\ x_{2}^{'} = x_{1} \\ x_{3}^{'} = x_{2} - x_{4} \\ x_{4}^{'} = x_{2} + x_{3} \end{matrix}]$	system_of_ODEs	✓	0.749

3891	$[\begin{matrix} x_{1}^{'} = (2 t - 1) x_{1} \\ x_{2}^{'} = e^{- t^{2} + t} x_{1} + x_{2} \end{matrix}]$	system_of_ODEs	✓	0.069

3892	$[\begin{matrix} x_{1}^{'} = t \cot (t^{2}) x_{1} + \frac{t \cos (t^{2}) x_{3}}{2} \\ x_{2}^{'} = \frac{x_{2}}{t} - x_{3} + 2 - t \sin (t) \\ x_{3}^{'} = \csc (t^{2}) x_{1} + x_{2} - x_{3} + 1 - t \cos (t) \end{matrix}]$	system_of_ODEs	✓	0.087

3893	$[\begin{matrix} x_{1}^{'} = - 6 x_{1} + x_{2} \\ x_{2}^{'} = 6 x_{1} - 5 x_{2} \end{matrix}]$	system_of_ODEs	✓	0.439

3894	$[\begin{matrix} x_{1}^{'} = 9 x_{1} - 2 x_{2} \\ x_{2}^{'} = 5 x_{1} - 2 x_{2} \end{matrix}]$	system_of_ODEs	✓	0.435

3895	$[\begin{matrix} x_{1}^{'} = 10 x_{1} - 4 x_{2} \\ x_{2}^{'} = 4 x_{1} + 2 x_{2} \end{matrix}]$	system_of_ODEs	✓	0.324

3896	$[\begin{matrix} x_{1}^{'} = - 8 x_{1} + 5 x_{2} \\ x_{2}^{'} = - 5 x_{1} + 2 x_{2} \end{matrix}]$	system_of_ODEs	✓	0.344

3897	$[\begin{matrix} x_{1}^{'} = 3 x_{1} + 4 x_{3} \\ x_{2}^{'} = 2 x_{2} \\ x_{3}^{'} = - 4 x_{1} - 5 x_{3} \end{matrix}]$	system_of_ODEs	✓	0.500

3898	$[\begin{matrix} x_{1}^{'} = - 3 x_{1} - x_{2} \\ x_{2}^{'} = 4 x_{1} - 7 x_{2} \\ x_{3}^{'} = 6 x_{1} + 6 x_{2} + 4 x_{3} \end{matrix}]$	system_of_ODEs	✓	0.586

3899	$[\begin{matrix} x_{1}^{'} = 3 x_{1} + 13 x_{2} \\ x_{2}^{'} = - x_{1} - 3 x_{2} \end{matrix}]$	system_of_ODEs	✓	0.458

3900	$[\begin{matrix} x_{1}^{'} = - 3 x_{1} - 10 x_{2} \\ x_{2}^{'} = 5 x_{1} + 11 x_{2} \end{matrix}]$	system_of_ODEs	✓	0.567

2.2.39 Problems 3801 to 3900