Problems 2701 to 2800

Table 2.57: Main lookup table. Sorted sequentially by problem number.


#	ODE	CAS classiﬁcation	Solved?	time (sec)

2701	$[\begin{matrix} x^{'} = x + y + e^{t} \\ y^{'} = x - y - e^{t} \end{matrix}]$	system_of_ODEs	✓	0.943

2702	$[\begin{matrix} x^{'} = x + y \\ y^{'} = 4 x + y \end{matrix}]$ i.c.	system_of_ODEs	✓	0.509

2703	$[\begin{matrix} x^{'} = x - 3 y \\ y^{'} = - 2 x + 2 y \end{matrix}]$ i.c.	system_of_ODEs	✓	0.535

2704	$[\begin{matrix} x^{'} = x - y \\ y^{'} = 5 x - 3 y \end{matrix}]$ i.c.	system_of_ODEs	✓	0.579

2705	$[\begin{matrix} x^{'} = 3 x - 2 y \\ y^{'} = 4 x - y \end{matrix}]$ i.c.	system_of_ODEs	✓	0.609

2706	$[\begin{matrix} x^{'} = 4 x + 5 y + 4 e^{t} \cos (t) \\ y^{'} = - 2 x - 2 y \end{matrix}]$ i.c.	system_of_ODEs	✓	1.042

2707	$[\begin{matrix} x^{'} = 3 x - 4 y + e^{t} \\ y^{'} = x - y + e^{t} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.563

2708	$[\begin{matrix} x^{'} = 2 x - 5 y + \sin (t) \\ y^{'} = x - 2 y + \tan (t) \end{matrix}]$ i.c.	system_of_ODEs	✓	1.866

2709	$[\begin{matrix} x^{'} = y + f_1 (t) \\ y^{'} = - x + f_{2} (t) \end{matrix}]$ i.c.	system_of_ODEs	✓	0.999

2710	$y^{'''} - 2 y^{''} - y^{'} + 2 y = 0$	[[_3rd_order, _missing_x]]	✓	0.086

2711	$y^{'''} - 6 y^{''} + 5 y^{'} + 12 y = 0$	[[_3rd_order, _missing_x]]	✓	0.074

2712	$y^{''''} - 5 y^{'''} + 6 y^{''} + 4 y^{'} - 8 y = 0$	[[_high_order, _missing_x]]	✓	0.081

2713	$y^{'''} - y^{''} + y^{'} - y = 0$	[[_3rd_order, _missing_x]]	✓	0.082

2714	$y^{''''} + 4 y^{'''} + 14 y^{''} - 20 y^{'} + 25 y = 0$ i.c.	[[_high_order, _missing_x]]	✓	2.336

2715	$y^{''''} - y = 0$ i.c.	[[_high_order, _missing_x]]	✓	0.099

2716	$y^{(5)} - 2 y^{''''} + y^{'''} = 0$ i.c.	[[_high_order, _missing_x]]	✓	0.139

2717	$y^{''''} - 2 y^{'''} + y^{''} + 2 y^{'} - 2 y = 0$	[[_high_order, _missing_x]]	✓	0.097

2718	$y^{'''} + y^{'} = \tan (t)$	[[_3rd_order, _missing_y]]	✓	0.723

2719	$y^{''''} - y = g (t)$	[[_high_order, _linear, _nonhomogeneous]]	✓	0.525

2720	$y^{''''} + y = g (t)$	[[_high_order, _linear, _nonhomogeneous]]	✓	0.824

2721	$y^{'''} + y^{'} = 2 t^{2} + 4 \sin (t)$	[[_3rd_order, _missing_y]]	✓	0.722

2722	$y^{'''} - 4 y^{'} = t + \cos (t) + 2 e^{- 2 t}$	[[_3rd_order, _missing_y]]	✓	0.250

2723	$y^{''''} - y = t + \sin (t)$	[[_high_order, _linear, _nonhomogeneous]]	✓	0.713

2724	$y^{''''} + 2 y^{''} + y = t^{2} \sin (t)$	[[_high_order, _linear, _nonhomogeneous]]	✓	0.986

2725	$y^{''''} + y^{''} = t^{2}$	[[_high_order, _missing_y]]	✓	0.140

2726	$y^{'''} + y^{''} + y^{'} + y = t + e^{- t}$	[[_3rd_order, _with_linear_symmetries]]	✓	0.173

2727	$y^{''''} + 4 y^{'''} + 6 y^{''} + 4 y^{'} + y = t^{3} e^{- t}$	[[_high_order, _linear, _nonhomogeneous]]	✓	0.194

2728	$[\begin{matrix} x_{1}^{'} = 6 x_{1} - 3 x_{2} \\ x_{2}^{'} = 2 x_{1} + x_{2} \end{matrix}]$	system_of_ODEs	✓	0.453

2729	$[\begin{matrix} x_{1}^{'} = - 2 x_{1} + x_{2} \\ x_{2}^{'} = - 4 x_{1} + 3 x_{2} \end{matrix}]$	system_of_ODEs	✓	0.339

2730	$[\begin{matrix} x_{1}^{'} = 3 x_{1} + 2 x_{2} + 4 x_{3} \\ x_{2}^{'} = 2 x_{1} + 2 x_{3} \\ x_{3}^{'} = 4 x_{1} + 2 x_{2} + 3 x_{3} \end{matrix}]$	system_of_ODEs	✓	0.477

2731	$[\begin{matrix} x_{1}^{'} = 7 x_{1} - x_{2} + 6 x_{3} \\ x_{2}^{'} = - 10 x_{1} + 4 x_{2} - 12 x_{3} \\ x_{3}^{'} = - 2 x_{1} + x_{2} - x_{3} \end{matrix}]$	system_of_ODEs	✓	0.644

2732	$[\begin{matrix} x_{1}^{'} = - 7 x_{1} + 6 x_{3} \\ x_{2}^{'} = 5 x_{2} \\ x_{3}^{'} = 6 x_{1} + 2 x_{3} \end{matrix}]$	system_of_ODEs	✓	0.430

2733	$[\begin{matrix} x_{1}^{'} = x_{1} + 2 x_{2} + 3 x_{3} + 6 x_{4} \\ x_{2}^{'} = 3 x_{1} + 6 x_{2} + 9 x_{3} + 18 x_{4} \\ x_{3}^{'} = 5 x_{1} + 10 x_{2} + 15 x_{3} + 30 x_{4} \\ x_{4}^{'} = 7 x_{1} + 14 x_{2} + 21 x_{3} + 42 x_{4} \end{matrix}]$	system_of_ODEs	✓	0.666

2734	$[\begin{matrix} x_{1}^{'} = x_{1} + x_{2} \\ x_{2}^{'} = 4 x_{1} + x_{2} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.494

2735	$[\begin{matrix} x_{1}^{'} = x_{1} - 3 x_{2} \\ x_{2}^{'} = - 2 x_{1} + 2 x_{2} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.500

2736	$[\begin{matrix} x_{1}^{'} = 3 x_{1} + x_{2} - x_{3} \\ x_{2}^{'} = x_{1} + 3 x_{2} - x_{3} \\ x_{3}^{'} = 3 x_{1} + 3 x_{2} - x_{3} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.452

2737	$[\begin{matrix} x_{1}^{'} = x_{1} - x_{2} \\ x_{2}^{'} = x_{1} + 2 x_{2} + x_{3} \\ x_{3}^{'} = x_{1} + 10 x_{2} + 2 x_{3} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.641

2738	$[\begin{matrix} x_{1}^{'} = x_{1} - 3 x_{2} + 2 x_{3} \\ x_{2}^{'} = - x_{2} \\ x_{3}^{'} = - x_{2} - 2 x_{3} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.528

2739	$[\begin{matrix} x_{1}^{'} = 3 x_{1} + x_{2} - 2 x_{3} \\ x_{2}^{'} = - x_{1} + 2 x_{2} + x_{3} \\ x_{3}^{'} = 4 x_{1} + x_{2} - 3 x_{3} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.616

2740	$[\begin{matrix} x_{1}^{'} = - 3 x_{1} + 2 x_{2} \\ x_{2}^{'} = - x_{1} - x_{2} \end{matrix}]$	system_of_ODEs	✓	0.529

2741	$[\begin{matrix} x_{1}^{'} = x_{1} - 5 x_{2} \\ x_{2}^{'} = x_{1} - 3 x_{2} \\ x_{3}^{'} = x_{3} \end{matrix}]$	system_of_ODEs	✓	0.606

2742	$[\begin{matrix} x_{1}^{'} = x_{1} \\ x_{2}^{'} = 3 x_{1} + x_{2} - 2 x_{3} \\ x_{3}^{'} = 2 x_{1} + 2 x_{2} + x_{3} \end{matrix}]$	system_of_ODEs	✓	0.717

2743	$[\begin{matrix} x_{1}^{'} = x_{1} + x_{3} \\ x_{2}^{'} = x_{2} - x_{3} \\ x_{3}^{'} = - 2 x_{1} - x_{3} \end{matrix}]$	system_of_ODEs	✓	0.620

2744	$[\begin{matrix} x_{1}^{'} = x_{1} - x_{2} \\ x_{2}^{'} = 5 x_{1} - 3 x_{2} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.564

2745	$[\begin{matrix} x_{1}^{'} = 3 x_{1} - 2 x_{2} \\ x_{2}^{'} = 4 x_{1} - x_{2} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.566

2746	$[\begin{matrix} x_{1}^{'} = - 3 x_{1} + 2 x_{3} \\ x_{2}^{'} = x_{1} - x_{2} \\ x_{3}^{'} = - 2 x_{1} - x_{2} \end{matrix}]$ i.c.	system_of_ODEs	✓	1.415

2747	$[\begin{matrix} x_{1}^{'} = 2 x_{2} \\ x_{2}^{'} = - 2 x_{1} \\ x_{3}^{'} = - 3 x_{4} \\ x_{4}^{'} = 3 x_{3} \end{matrix}]$ i.c.	system_of_ODEs	✓	1.218

2748	$[\begin{matrix} x_{1}^{'} = x_{1} + x_{2} \\ x_{2}^{'} = x_{2} \\ x_{3}^{'} = 2 x_{3} \end{matrix}]$	system_of_ODEs	✓	0.382

2749	$[\begin{matrix} x_{1}^{'} = 2 x_{1} + x_{2} + 3 x_{3} \\ x_{2}^{'} = 2 x_{2} - x_{3} \\ x_{3}^{'} = 2 x_{3} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.436

2750	$[\begin{matrix} x_{1}^{'} = - x_{2} + x_{3} \\ x_{2}^{'} = 2 x_{1} - 3 x_{2} + x_{3} \\ x_{3}^{'} = x_{1} - x_{2} - x_{3} \end{matrix}]$	system_of_ODEs	✓	0.513

2751	$[\begin{matrix} x_{1}^{'} = x_{1} + x_{2} + x_{3} \\ x_{2}^{'} = 2 x_{1} + x_{2} - x_{3} \\ x_{3}^{'} = - 3 x_{1} + 2 x_{2} + 4 x_{3} \end{matrix}]$	system_of_ODEs	✓	0.477

2752	$[\begin{matrix} x_{1}^{'} = - x_{1} - x_{2} \\ x_{2}^{'} = - x_{2} \\ x_{3}^{'} = - 2 x_{3} \end{matrix}]$	system_of_ODEs	✓	0.406

2753	$[\begin{matrix} x_{1}^{'} = 2 x_{1} - x_{3} \\ x_{2}^{'} = 2 x_{2} + x_{3} \\ x_{3}^{'} = 2 x_{3} \\ x_{4}^{'} = - x_{3} + 2 x_{4} \end{matrix}]$	system_of_ODEs	✓	0.455

2754	$[\begin{matrix} x_{1}^{'} = - x_{1} + x_{2} + 2 x_{3} \\ x_{2}^{'} = - x_{1} + x_{2} + x_{3} \\ x_{3}^{'} = - 2 x_{1} + x_{2} + 3 x_{3} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.483

2755	$[\begin{matrix} x_{1}^{'} = - 4 x_{1} - 4 x_{2} \\ x_{2}^{'} = 10 x_{1} + 9 x_{2} + x_{3} \\ x_{3}^{'} = - 4 x_{1} - 3 x_{2} + x_{3} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.529

2756	$[\begin{matrix} x_{1}^{'} = x_{1} + 2 x_{2} - 3 x_{3} \\ x_{2}^{'} = x_{1} + x_{2} + 2 x_{3} \\ x_{3}^{'} = x_{1} - x_{2} + 4 x_{3} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.493

2757	$[\begin{matrix} x_{1}^{'} = 3 x_{1} \\ x_{2}^{'} = x_{1} + 3 x_{2} \\ x_{3}^{'} = 3 x_{3} \\ x_{4}^{'} = 2 x_{3} + 3 x_{4} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.414

2758	$[\begin{matrix} x_{1}^{'} = x_{1} \\ x_{2}^{'} = 2 x_{1} + x_{2} - 2 x_{3} \\ x_{3}^{'} = 3 x_{1} + 2 x_{2} + x_{3} + e^{t} \cos (2 t) \end{matrix}]$	system_of_ODEs	✓	1.470

2759	$[\begin{matrix} x_{1}^{'} = x_{1} + e^{c t} \\ x_{2}^{'} = 2 x_{1} + x_{2} - 2 x_{3} \\ x_{3}^{'} = 3 x_{1} + 2 x_{2} + x_{3} \end{matrix}]$	system_of_ODEs	✓	1.520

2760	$[\begin{matrix} x_{1}^{'} = 4 x_{1} + 5 x_{2} + 4 e^{t} \cos (t) \\ x_{2}^{'} = - 2 x_{1} - 2 x_{2} \end{matrix}]$ i.c.	system_of_ODEs	✓	1.128

2761	$[\begin{matrix} x_{1}^{'} = 3 x_{1} - 4 x_{2} + e^{t} \\ x_{2}^{'} = x_{1} - x_{2} + e^{t} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.605

2762	$[\begin{matrix} x_{1}^{'} = 2 x_{1} - 5 x_{2} + \sin (t) \\ x_{2}^{'} = x_{1} - 2 x_{2} + \tan (t) \end{matrix}]$ i.c.	system_of_ODEs	✓	1.796

2763	$[\begin{matrix} x_{1}^{'} = x_{2} + f_{1} (t) \\ x_{2}^{'} = - x_{1} + f_{2} (t) \end{matrix}]$ i.c.	system_of_ODEs	✓	0.916

2764	$[\begin{matrix} x_{1}^{'} = 2 x_{1} + x_{3} + e^{2 t} \\ x_{2}^{'} = 2 x_{2} \\ x_{3}^{'} = x_{2} + 3 x_{3} + e^{2 t} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.576

2765	$[\begin{matrix} x_{1}^{'} = - x_{1} - x_{2} - 2 x_{3} + e^{t} \\ x_{2}^{'} = x_{1} + x_{2} + x_{3} \\ x_{3}^{'} = 2 x_{1} + x_{2} + 3 x_{3} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.745

2766	$[\begin{matrix} x_{1}^{'} = 2 x_{1} + x_{2} + e^{3 t} \\ x_{2}^{'} = 3 x_{1} - 2 x_{2} + e^{3 t} \end{matrix}]$	system_of_ODEs	✓	1.040

2767	$[\begin{matrix} x_{1}^{'} = x_{1} - x_{2} - t^{2} \\ x_{2}^{'} = x_{1} + 3 x_{2} + 2 t \end{matrix}]$	system_of_ODEs	✓	0.506

2768	$[\begin{matrix} x_{1}^{'} = x_{1} + 3 x_{2} + 2 x_{3} + \sin (t) \\ x_{2}^{'} = - x_{1} + 2 x_{2} + x_{3} \\ x_{3}^{'} = 4 x_{1} - x_{2} - x_{3} \end{matrix}]$	system_of_ODEs	✓	1.168

2769	$[\begin{matrix} x_{1}^{'} = x_{1} + 2 x_{2} - 3 x_{3} + e^{t} \\ x_{2}^{'} = x_{1} + x_{2} + 2 x_{3} \\ x_{3}^{'} = x_{1} - x_{2} + 4 x_{3} - e^{t} \end{matrix}]$	system_of_ODEs	✓	0.807

2770	$[\begin{matrix} x_{1}^{'} = - x_{1} - x_{2} + 1 \\ x_{2}^{'} = - 4 x_{2} - x_{3} + t \\ x_{3}^{'} = 5 x_{2} + e^{t} \end{matrix}]$	system_of_ODEs	✓	1.588

2771	$[\begin{matrix} x_{1}^{'} = x_{1} + x_{2} - x_{3} + e^{2 t} \\ x_{2}^{'} = 2 x_{1} + 3 x_{2} - 4 x_{3} + 2 e^{2 t} \\ x_{3}^{'} = 4 x_{1} + x_{2} - 4 x_{3} + e^{2 t} \end{matrix}]$	system_of_ODEs	✓	62.549

2772	$[\begin{matrix} x_{1}^{'} = x_{1} - x_{2} - x_{3} + e^{3 t} \\ x_{2}^{'} = x_{1} + 3 x_{2} + x_{3} - e^{3 t} \\ x_{3}^{'} = - 3 x_{1} + x_{2} - x_{3} - e^{3 t} \end{matrix}]$	system_of_ODEs	✓	62.110

2773	$[\begin{matrix} x_{1}^{'} = 3 x_{1} + 2 x_{2} + 4 x_{3} + 2 e^{8 t} \\ x_{2}^{'} = 2 x_{1} + 2 x_{3} + e^{8 t} \\ x_{3}^{'} = 4 x_{1} + 2 x_{2} + 3 x_{3} + 2 e^{8 t} \end{matrix}]$	system_of_ODEs	✓	0.681

2774	$[\begin{matrix} x_{1}^{'} = x_{1} - 3 x_{2} \\ x_{2}^{'} = - 2 x_{1} + 2 x_{2} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.321

2775	$[\begin{matrix} x_{1}^{'} = x_{1} - x_{2} \\ x_{2}^{'} = 5 x_{1} - 3 x_{2} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.339

2776	$[\begin{matrix} x_{1}^{'} = 3 x_{1} - 2 x_{2} + t \\ x_{2}^{'} = 2 x_{1} - 2 x_{2} + 3 e^{t} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.318

2777	$[\begin{matrix} x_{1}^{'} = x_{1} + x_{2} + 2 e^{t} \\ x_{2}^{'} = 4 x_{1} + x_{2} - e^{t} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.306

2778	$[\begin{matrix} x_{1}^{'} = 3 x_{1} - 4 x_{2} + e^{t} \\ x_{2}^{'} = x_{1} - x_{2} + e^{t} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.249

2779	$[\begin{matrix} x_{1}^{'} = 2 x_{1} - 5 x_{2} + \sin (t) \\ x_{2}^{'} = x_{1} - 2 x_{2} + \tan (t) \end{matrix}]$ i.c.	system_of_ODEs	✓	65.670

2780	$[\begin{matrix} x_{1}^{'} = 4 x_{1} + 5 x_{2} + 4 e^{t} \cos (t) \\ x_{2}^{'} = - 2 x_{1} - 2 x_{2} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.429

2781	$[\begin{matrix} x_{1}^{'} = x_{2} + f_{1} (t) \\ x_{2}^{'} = - x_{1} + f_{2} (t) \end{matrix}]$ i.c.	system_of_ODEs	✓	0.571

2782	$[\begin{matrix} x_{1}^{'} = 2 x_{1} - 2 x_{2} \\ x_{2}^{'} = 4 x_{1} - 2 x_{2} + δ (t - π) \end{matrix}]$ i.c.	system_of_ODEs	✓	0.585

2783	$[\begin{matrix} x_{1}^{'} = 3 x_{1} - 2 x_{2} + 1 - Heaviside (t - π) \\ x_{2}^{'} = 2 x_{1} - 2 x_{2} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.504

2784	$[\begin{matrix} x_{1}^{'} = x_{1} + 2 x_{2} - 3 x_{3} \\ x_{2}^{'} = x_{1} + x_{2} + 2 x_{3} \\ x_{3}^{'} = x_{1} - x_{2} + 4 x_{3} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.230

2785	$[\begin{matrix} x_{1}^{'} = 2 x_{1} + x_{3} + e^{2 t} \\ x_{2}^{'} = 2 x_{2} \\ x_{3}^{'} = 3 x_{3} + e^{2 t} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.226

2786	$[\begin{matrix} x_{1}^{'} = - x_{1} - x_{2} + 2 x_{3} + e^{t} \\ x_{2}^{'} = x_{1} + x_{2} + x_{3} \\ x_{3}^{'} = 2 x_{1} + x_{2} + 3 x_{3} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.285

2787	$[\begin{matrix} x_{1}^{'} = x_{1} \\ x_{2}^{'} = 2 x_{1} + x_{2} - 2 x_{3} \\ x_{3}^{'} = 3 x_{1} + 2 x_{2} + x_{3} + e^{t} \cos (2 t) \end{matrix}]$ i.c.	system_of_ODEs	✓	0.339

2788	$[\begin{matrix} x_{1}^{'} = 3 x_{1} \\ x_{2}^{'} = x_{1} + 3 x_{2} \\ x_{3}^{'} = 3 x_{3} \\ x_{4}^{'} = 2 x_{3} + 3 x_{4} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.245

2789	$[\begin{matrix} x^{'} = x - x^{2} - 2 x y \\ y^{'} = 2 y - 2 y^{2} - 3 x y \end{matrix}]$	system_of_ODEs	✓	0.054

2790	$[\begin{matrix} x^{'} = - b x y + m \\ y^{'} = b x y - g y \end{matrix}]$	system_of_ODEs	✓	0.057

2791	$[\begin{matrix} x^{'} = a x - b x y \\ y^{'} = - c y + d x y \\ z^{'} = z + x^{2} + y^{2} \end{matrix}]$	system_of_ODEs	✓	0.066

2792	$[\begin{matrix} x^{'} = - x - x y^{2} \\ y^{'} = - y - y x^{2} \\ z^{'} = 1 - z + x^{2} \end{matrix}]$	system_of_ODEs	✓	0.065

2793	$[\begin{matrix} x^{'} = x y^{2} - x \\ y^{'} = x \sin (π y) \end{matrix}]$	system_of_ODEs	✓	0.051

2794	$[\begin{matrix} x^{'} = \cos (y) \\ y^{'} = \sin (x) - 1 \end{matrix}]$	system_of_ODEs	✓	0.050

2795	$[\begin{matrix} x^{'} = - 1 - y - e^{x} \\ y^{'} = x^{2} + y (e^{x} - 1) \\ z^{'} = x + \sin (z) \end{matrix}]$	system_of_ODEs	✓	0.064

2796	$[\begin{matrix} x^{'} = x - y^{2} \\ y^{'} = x^{2} - y \\ z^{'} = e^{z} - x \end{matrix}]$	system_of_ODEs	✓	0.058

2797	$[\begin{matrix} x^{'} = x - y \\ y^{'} = 2 x - y \end{matrix}]$ i.c.	system_of_ODEs	✓	0.487

2798	$[\begin{matrix} x^{'} = x + y + z - 2 e^{- t} \\ y^{'} = 2 x + y - z - 2 e^{- t} \\ z^{'} = - 3 x + 2 y + 4 z + 3 e^{- t} \end{matrix}]$ i.c.	system_of_ODEs	✓	0.762

2799	$[\begin{matrix} x^{'} = x + y \\ y^{'} = - 2 x - 2 y \end{matrix}]$	system_of_ODEs	✓	0.300

2800	$[\begin{matrix} x^{'} = - 3 x - 4 y \\ y^{'} = 2 x + y \end{matrix}]$	system_of_ODEs	✓	0.550

2.2.28 Problems 2701 to 2800