Problems 17701 to 17800

Table 2.357: Main lookup table. Sorted sequentially by problem number.


#	ODE	CAS classiﬁcation	Solved?	Maple	Mma	Sympy

17701	$y^{''} + \frac{y^{'}}{4} + y = δ (t - 1)$ i.c.	[[_2nd_order, _linear, _nonhomogeneous]]	✓	✓	✓	✓

17702	$y^{''} + y = δ (t - 1)$ i.c.	[[_2nd_order, _linear, _nonhomogeneous]]	✓	✓	✓	✓

17703	$y^{''} + \frac{y^{'}}{5} + y = k δ (t - 1)$ i.c.	[[_2nd_order, _linear, _nonhomogeneous]]	✓	✓	✓	✓

17704	$y^{''} + \frac{y^{'}}{10} + y = k δ (t - 1)$ i.c.	[[_2nd_order, _linear, _nonhomogeneous]]	✓	✓	✓	✓

17705	$y^{''} + w^{2} y = g (t)$ i.c.	[[_2nd_order, _linear, _nonhomogeneous]]	✓	✓	✓	✓

17706	$y^{''} + 6 y^{'} + 25 y = \sin (α t)$ i.c.	[[_2nd_order, _linear, _nonhomogeneous]]	✓	✓	✓	✓

17707	$4 y^{''} + 4 y^{'} + 17 y = g (t)$ i.c.	[[_2nd_order, _linear, _nonhomogeneous]]	✓	✓	✓	✓

17708	$y^{''} + y^{'} + \frac{5 y}{4} = 1 - Heaviside (t - π)$ i.c.	[[_2nd_order, _linear, _nonhomogeneous]]	✓	✓	✓	✓

17709	$y^{''} + 4 y^{'} + 4 y = g (t)$ i.c.	[[_2nd_order, _linear, _nonhomogeneous]]	✓	✓	✓	✓

17710	$y^{''} + 3 y^{'} + 2 y = \cos (α t)$ i.c.	[[_2nd_order, _linear, _nonhomogeneous]]	✓	✓	✓	✓

17711	$y^{''''} - 16 y = g (t)$ i.c.	[[_high_order, _linear, _nonhomogeneous]]	✓	✓	✓	✓

17712	$y^{''''} + y^{''} + 16 y = g (t)$ i.c.	[[_high_order, _linear, _nonhomogeneous]]	✓	✓	✓	✓

17713	$\frac{7 y^{''}}{5} + y = Heaviside (t)$ i.c.	[[_2nd_order, _linear, _nonhomogeneous]]	✓	✓	✓	✓

17714	$\frac{8 y^{''}}{5} + y = Heaviside (t)$ i.c.	[[_2nd_order, _linear, _nonhomogeneous]]	✓	✓	✓	✓

17715	$[\begin{matrix} x_{1}^{'} = x_{1} + x_{2} + x_{3} \\ x_{2}^{'} = 2 x_{1} + x_{2} - x_{3} \\ x_{3}^{'} = - x_{2} + x_{3} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17716	$[\begin{matrix} x_{1}^{'} = x_{1} - x_{2} + 4 x_{3} \\ x_{2}^{'} = 3 x_{1} + 2 x_{2} - x_{3} \\ x_{3}^{'} = 2 x_{1} + x_{2} - x_{3} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17717	$y^{''''} + 6 y^{'''} + 3 y = t$	[[_high_order, _with_linear_symmetries]]	✓	✓	✓	✗

17718	$t y^{'''} + \sin (t) y^{''} + 8 y = \cos (t)$	[[_3rd_order, _linear, _nonhomogeneous]]	✗	✗	✗	✗

17719	$t (t - 1) y^{''''} + e^{t} y^{''} + 4 t^{2} y = 0$	[[_high_order, _with_linear_symmetries]]	✗	✗	✗	✗

17720	$y^{'''} + t y^{''} + t^{2} y^{'} + t^{2} y = \ln (t)$	[[_3rd_order, _linear, _nonhomogeneous]]	✗	✗	✗	✗

17721	$(x - 4) y^{''''} + (x + 1) y^{''} + y \tan (x) = 0$	[[_high_order, _with_linear_symmetries]]	✗	✗	✗	✗

17722	$(x^{2} - 2) y^{(6)} + x^{2} y^{''} + 3 y = 0$	[[_high_order, _with_linear_symmetries]]	✗	✗	✗	✗

17723	$y^{''''} + 5 y^{'''} + 4 y = 0$	[[_high_order, _missing_x]]	✓	✓	✓	✓

17724	$t y^{'''} + \sin (t) y^{''} + 4 y = \cos (t)$	[[_3rd_order, _linear, _nonhomogeneous]]	✗	✗	✗	✗

17725	$t (t - 1) y^{''''} + e^{t} y^{''} + 7 t^{2} y = 0$	[[_high_order, _with_linear_symmetries]]	✗	✗	✗	✗

17726	$y^{'''} + t y^{''} + 5 t^{2} y^{'} + 2 t^{3} y = \ln (t)$	[[_3rd_order, _linear, _nonhomogeneous]]	✗	✗	✗	✗

17727	$(x - 1) y^{''''} + (5 + x) y^{''} + y \tan (x) = 0$	[[_high_order, _with_linear_symmetries]]	✗	✗	✗	✗

17728	$(x^{2} - 25) y^{(6)} + x^{2} y^{''} + 5 y = 0$	[[_high_order, _with_linear_symmetries]]	✗	✗	✗	✗

17729	$[\begin{matrix} x_{1}^{'} = x_{2} + x_{3} \\ x_{2}^{'} = x_{1} + x_{3} \\ x_{3}^{'} = x_{1} + x_{2} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17730	$[\begin{matrix} x_{1}^{'} = 3 x_{1} + 2 x_{2} + 4 x_{3} \\ x_{2}^{'} = 2 x_{1} + 2 x_{3} \\ x_{3}^{'} = 4 x_{1} + 2 x_{2} + 3 x_{3} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17731	$y^{'''} + y^{'} = 0$	[[_3rd_order, _missing_x]]	✓	✓	✓	✓

17732	$y^{''''} + y^{''} = 0$	[[_high_order, _missing_x]]	✓	✓	✓	✓

17733	$y^{'''} + 4 y^{''} - 4 y^{'} - 16 y = 0$	[[_3rd_order, _missing_x]]	✓	✓	✓	✓

17734	$y^{''''} + 6 y^{'''} + 9 y^{''} = 0$	[[_high_order, _missing_x]]	✓	✓	✓	✓

17735	$x y^{'''} - y^{''} = 0$	[[_3rd_order, _missing_y]]	✓	✓	✓	✓

17736	$x^{3} y^{'''} + x^{2} y^{''} - 2 y^{'} x + 2 y = 0$	[[_3rd_order, _exact, _linear, _homogeneous]]	✓	✓	✓	✓

17737	$[\begin{matrix} x_{1}^{'} = - 4 x_{1} + x_{2} \\ x_{2}^{'} = x_{1} - 5 x_{2} + x_{3} \\ x_{3}^{'} = x_{2} - 4 x_{3} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17738	$[\begin{matrix} x_{1}^{'} = x_{1} + 4 x_{2} + 4 x_{3} \\ x_{2}^{'} = 3 x_{2} + 2 x_{3} \\ x_{3}^{'} = 2 x_{2} + 3 x_{3} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17739	$[\begin{matrix} x_{1}^{'} = 2 x_{1} - 4 x_{2} + 2 x_{3} \\ x_{2}^{'} = - 4 x_{1} + 2 x_{2} - 2 x_{3} \\ x_{3}^{'} = 2 x_{1} - 2 x_{2} - x_{3} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17740	$[\begin{matrix} x_{1}^{'} = - 2 x_{1} + 2 x_{2} - x_{3} \\ x_{2}^{'} = - 2 x_{1} + 3 x_{2} - 2 x_{3} \\ x_{3}^{'} = - 2 x_{1} + 4 x_{2} - 3 x_{3} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17741	$[\begin{matrix} x_{1}^{'} = x_{1} + x_{2} + 6 x_{3} \\ x_{2}^{'} = x_{1} + 6 x_{2} + x_{3} \\ x_{3}^{'} = 6 x_{1} + x_{2} + x_{3} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17742	$[\begin{matrix} x_{1}^{'} = 3 x_{1} + 2 x_{2} + 4 x_{3} \\ x_{2}^{'} = 2 x_{1} + 2 x_{3} \\ x_{3}^{'} = 4 x_{1} + 2 x_{2} + 3 x_{3} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17743	$[\begin{matrix} x_{1}^{'} = x_{1} + x_{2} + x_{3} \\ x_{2}^{'} = 2 x_{1} + x_{2} - x_{3} \\ x_{3}^{'} = - 8 x_{1} - 5 x_{2} - 3 x_{3} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17744	$[\begin{matrix} x_{1}^{'} = x_{1} - x_{2} + 4 x_{3} \\ x_{2}^{'} = 3 x_{1} + 2 x_{2} - x_{3} \\ x_{3}^{'} = 2 x_{1} + x_{2} - x_{3} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17745	$[\begin{matrix} x_{1}^{'} = x_{1} + x_{2} + 2 x_{3} \\ x_{2}^{'} = 2 x_{2} + 2 x_{3} \\ x_{3}^{'} = - x_{1} + x_{2} + 3 x_{3} \end{matrix}]$ i.c.	system_of_ODEs	✓	✓	✓	✓

17746	$[\begin{matrix} x_{1}^{'} = - x_{3} \\ x_{2}^{'} = 2 x_{1} \\ x_{3}^{'} = - x_{1} + 2 x_{2} + 4 x_{3} \end{matrix}]$ i.c.	system_of_ODEs	✓	✓	✓	✓

17747	$[\begin{matrix} x_{1}^{'} = x_{1} + 3 x_{3} \\ x_{2}^{'} = - 2 x_{2} \\ x_{3}^{'} = 3 x_{1} - x_{3} \end{matrix}]$ i.c.	system_of_ODEs	✓	✓	✓	✓

17748	$[\begin{matrix} x_{1}^{'} = \frac{x_{1}}{2} - x_{2} - \frac{3 x_{3}}{2} \\ x_{2}^{'} = \frac{3 x_{1}}{2} - 2 x_{2} - \frac{3 x_{3}}{2} \\ x_{3}^{'} = - 2 x_{1} + 2 x_{2} + x_{3} \end{matrix}]$ i.c.	system_of_ODEs	✓	✓	✓	✓

17749	$[\begin{matrix} x_{1}^{'} = x_{1} + 5 x_{2} + 3 x_{3} - 5 x_{4} \\ x_{2}^{'} = 2 x_{1} + 3 x_{2} + 2 x_{3} - 4 x_{4} \\ x_{3}^{'} = - x_{2} - 2 x_{3} + x_{4} \\ x_{4}^{'} = 2 x_{1} + 4 x_{2} + 2 x_{3} - 5 x_{4} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17750	$[\begin{matrix} x_{1}^{'} = - 5 x_{1} + x_{2} - 4 x_{3} - x_{4} \\ x_{2}^{'} = - 3 x_{2} \\ x_{3}^{'} = x_{1} - x_{2} + x_{4} \\ x_{4}^{'} = 2 x_{1} - x_{2} + 2 x_{3} - 2 x_{4} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17751	$[\begin{matrix} x_{1}^{'} = 2 x_{1} + 2 x_{2} - x_{4} \\ x_{2}^{'} = 2 x_{1} - x_{2} + 2 x_{4} \\ x_{3}^{'} = 3 x_{3} \\ x_{4}^{'} = - x_{1} + 2 x_{2} + 2 x_{4} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17752	$[\begin{matrix} x_{1}^{'} = x_{1} + 8 x_{2} + 5 x_{3} + 3 x_{4} \\ x_{2}^{'} = 2 x_{1} + 16 x_{2} + 10 x_{3} + 6 x_{4} \\ x_{3}^{'} = 5 x_{1} - 14 x_{2} - 11 x_{3} - 3 x_{4} \\ x_{4}^{'} = - x_{1} - 8 x_{2} - 5 x_{3} - 3 x_{4} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17753	$[\begin{matrix} x_{1}^{'} = - 2 x_{1} + 2 x_{2} - 2 x_{4} \\ x_{2}^{'} = - x_{1} + 3 x_{2} - x_{3} + x_{4} \\ x_{3}^{'} = - 2 x_{1} - 2 x_{2} - 4 x_{3} + 2 x_{4} \\ x_{4}^{'} = - 7 x_{1} + x_{2} - 7 x_{3} + 3 x_{4} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17754	$[\begin{matrix} x_{1}^{'} = - 5 x_{1} - 2 x_{2} - x_{3} + 2 x_{4} + 3 x_{5} \\ x_{2}^{'} = - 3 x_{2} \\ x_{3}^{'} = x_{1} - x_{3} - x_{5} \\ x_{4}^{'} = 2 x_{1} + x_{2} - 4 x_{4} - 2 x_{5} \\ x_{5}^{'} = - 3 x_{1} - 2 x_{2} - x_{3} + 2 x_{4} + x_{5} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17755	$[\begin{matrix} x_{1}^{'} = - 3 x_{2} - 2 x_{3} + 3 x_{4} + 2 x_{5} \\ x_{2}^{'} = 8 x_{1} + 6 x_{2} + 4 x_{3} - 8 x_{4} - 16 x_{5} \\ x_{3}^{'} = - 8 x_{1} - 8 x_{2} - 6 x_{3} + 8 x_{4} - 16 x_{5} \\ x_{4}^{'} = 8 x_{1} + 7 x_{2} + 4 x_{3} - 9 x_{4} - 16 x_{5} \\ x_{5}^{'} = - 3 x_{1} - 5 x_{2} - 3 x_{3} + 5 x_{4} + 7 x_{5} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17756	$[\begin{matrix} x_{1}^{'} = - 2 x_{1} + 2 x_{2} + x_{3} \\ x_{2}^{'} = - 2 x_{1} + 2 x_{2} + 2 x_{3} \\ x_{3}^{'} = 2 x_{1} - 3 x_{2} - 3 x_{3} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17757	$[\begin{matrix} x_{1}^{'} = 2 x_{1} - 4 x_{2} - x_{3} \\ x_{2}^{'} = x_{1} + x_{2} + 3 x_{3} \\ x_{3}^{'} = 3 x_{1} - 4 x_{2} - 2 x_{3} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17758	$[\begin{matrix} x_{1}^{'} = - 2 x_{2} - x_{3} \\ x_{2}^{'} = x_{1} - x_{2} + x_{3} \\ x_{3}^{'} = x_{1} - 2 x_{2} - 2 x_{3} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17759	$[\begin{matrix} x_{1}^{'} = - 4 x_{1} + 2 x_{2} - x_{3} \\ x_{2}^{'} = - 6 x_{1} - 3 x_{3} \\ x_{3}^{'} = \frac{8 x_{2}}{3} - 2 x_{3} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17760	$[\begin{matrix} x_{1}^{'} = - 7 x_{1} + 6 x_{2} - 6 x_{3} \\ x_{2}^{'} = - 9 x_{1} + 5 x_{2} - 9 x_{3} \\ x_{3}^{'} = - x_{2} - x_{3} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17761	$[\begin{matrix} x_{1}^{'} = \frac{4 x_{1}}{3} + \frac{4 x_{2}}{3} - \frac{11 x_{3}}{3} \\ x_{2}^{'} = - \frac{16 x_{1}}{3} - \frac{x_{2}}{3} + \frac{14 x_{3}}{3} \\ x_{3}^{'} = 3 x_{1} - 2 x_{2} - 2 x_{3} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17762	$[\begin{matrix} x_{1}^{'} = x_{1} + x_{2} + x_{3} \\ x_{2}^{'} = 2 x_{1} + x_{2} - x_{3} \\ x_{3}^{'} = - 8 x_{1} - 5 x_{2} - 3 x_{3} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17763	$[\begin{matrix} x_{1}^{'} = x_{1} - x_{2} + 4 x_{3} \\ x_{2}^{'} = 3 x_{1} + 2 x_{2} - x_{3} \\ x_{3}^{'} = 2 x_{1} + x_{2} - x_{3} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17764	$[\begin{matrix} x_{1}^{'} = \frac{3 x_{1}}{4} + \frac{29 x_{2}}{4} - \frac{11 x_{3}}{2} \\ x_{2}^{'} = - \frac{3 x_{1}}{4} + \frac{3 x_{2}}{4} - \frac{5 x_{3}}{2} \\ x_{3}^{'} = \frac{5 x_{1}}{4} + \frac{11 x_{2}}{4} - \frac{5 x_{3}}{2} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17765	$[\begin{matrix} x_{1}^{'} = - 2 x_{1} - x_{2} + 4 x_{3} + 2 x_{4} \\ x_{2}^{'} = - 19 x_{1} - 6 x_{2} + 6 x_{3} + 16 x_{4} \\ x_{3}^{'} = - 9 x_{1} - x_{2} + x_{3} + 6 x_{4} \\ x_{4}^{'} = - 5 x_{1} - 3 x_{2} + 6 x_{3} + 5 x_{4} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17766	$[\begin{matrix} x_{1}^{'} = - 3 x_{1} + 6 x_{2} + 2 x_{3} - 2 x_{4} \\ x_{2}^{'} = 2 x_{1} - 3 x_{2} - 6 x_{3} + 2 x_{4} \\ x_{3}^{'} = - 4 x_{1} + 8 x_{2} + 3 x_{3} - 4 x_{4} \\ x_{4}^{'} = 2 x_{1} - 2 x_{2} - 6 x_{3} + x_{4} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17767	$[\begin{matrix} x_{1}^{'} = - 3 x_{1} - 4 x_{2} + 5 x_{3} + 9 x_{4} \\ x_{2}^{'} = - 2 x_{1} - 5 x_{2} + 4 x_{3} + 12 x_{4} \\ x_{3}^{'} = - 2 x_{1} - x_{3} + 2 x_{4} \\ x_{4}^{'} = - 2 x_{2} + 2 x_{3} + 3 x_{4} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17768	$[\begin{matrix} x_{1}^{'} = - 3 x_{1} - 5 x_{2} + 8 x_{3} + 14 x_{4} \\ x_{2}^{'} = - 6 x_{1} - 8 x_{2} + 11 x_{3} + 27 x_{4} \\ x_{3}^{'} = - 6 x_{1} - 4 x_{2} + 7 x_{3} + 17 x_{4} \\ x_{4}^{'} = - 2 x_{2} + 2 x_{3} + 4 x_{4} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17769	$[\begin{matrix} x_{1}^{'} = 3 x_{2} - 2 x_{4} \\ x_{2}^{'} = - \frac{x_{1}}{2} + x_{2} - 3 x_{3} - \frac{5 x_{4}}{2} \\ x_{3}^{'} = 3 x_{2} - 5 x_{3} - 3 x_{4} \\ x_{4}^{'} = x_{1} + 3 x_{2} - 3 x_{4} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17770	$[\begin{matrix} x_{1}^{'} = 3 x_{1} - 2 x_{2} \\ x_{2}^{'} = 2 x_{1} - 2 x_{2} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17771	$[\begin{matrix} x_{1}^{'} = - 3 x_{1} + 2 x_{2} \\ x_{2}^{'} = \frac{x_{1}}{2} - 3 x_{2} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17772	$[\begin{matrix} x_{1}^{'} = 3 x_{1} - 4 x_{2} \\ x_{2}^{'} = x_{1} - x_{2} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17773	$[\begin{matrix} x_{1}^{'} = \frac{x_{1}}{2} - \frac{x_{2}}{4} \\ x_{2}^{'} = x_{1} - \frac{x_{2}}{2} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17774	$[\begin{matrix} x_{1}^{'} = x_{1} - \frac{5 x_{2}}{2} \\ x_{2}^{'} = \frac{x_{1}}{2} - x_{2} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17775	$[\begin{matrix} x_{1}^{'} = - x_{1} - 4 x_{2} \\ x_{2}^{'} = x_{1} - x_{2} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17776	$[\begin{matrix} x_{1}^{'} = 5 x_{1} - x_{2} \\ x_{2}^{'} = 3 x_{1} + x_{2} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17777	$[\begin{matrix} x_{1}^{'} = x_{1} - x_{2} \\ x_{2}^{'} = 5 x_{1} - 3 x_{2} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17778	$[\begin{matrix} x_{1}^{'} = 2 x_{1} - x_{2} \\ x_{2}^{'} = 3 x_{1} - 2 x_{2} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17779	$[\begin{matrix} x_{1}^{'} = \frac{x_{1}}{2} + \frac{x_{2}}{2} \\ x_{2}^{'} = 2 x_{1} - x_{2} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17780	$[\begin{matrix} x_{1}^{'} = - 3 x_{1} + 4 x_{2} \\ x_{2}^{'} = - x_{1} - 2 x_{2} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17781	$[\begin{matrix} x_{1}^{'} = - 3 x_{1} + \frac{5 x_{2}}{2} \\ x_{2}^{'} = - \frac{5 x_{1}}{2} + 2 x_{2} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17782	$[\begin{matrix} x_{1}^{'} = x_{1} + x_{2} + x_{3} \\ x_{2}^{'} = 2 x_{1} + x_{2} - x_{3} \\ x_{3}^{'} = - 8 x_{1} - 5 x_{2} - 3 x_{3} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17783	$[\begin{matrix} x_{1}^{'} = x_{1} - x_{2} + 4 x_{3} \\ x_{2}^{'} = 3 x_{1} + 2 x_{2} - x_{3} \\ x_{3}^{'} = 2 x_{1} + x_{2} - x_{3} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17784	$[\begin{matrix} x_{1}^{'} = - 3 x_{1} - 9 x_{2} \\ x_{2}^{'} = x_{1} - 3 x_{2} \end{matrix}]$ i.c.	system_of_ODEs	✓	✓	✓	✓

17785	$[\begin{matrix} x_{1}^{'} = 2 x_{1} - x_{2} \\ x_{2}^{'} = 3 x_{1} - 2 x_{2} \end{matrix}]$ i.c.	system_of_ODEs	✓	✓	✓	✓

17786	$[\begin{matrix} x_{1}^{'} = - 4 x_{1} - x_{2} \\ x_{2}^{'} = x_{1} - 2 x_{2} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17787	$[\begin{matrix} x_{1}^{'} = 5 x_{1} - x_{2} \\ x_{2}^{'} = x_{1} + 3 x_{2} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17788	$[\begin{matrix} x_{1}^{'} = - x_{1} - 5 x_{2} \\ x_{2}^{'} = x_{1} + 3 x_{2} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17789	$[\begin{matrix} x_{1}^{'} = x_{2} - x_{3} \\ x_{2}^{'} = x_{1} + x_{3} \\ x_{3}^{'} = x_{1} + x_{2} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17790	$[\begin{matrix} x_{1}^{'} = - k_{1} x_{1} \\ x_{2}^{'} = k_{1} x_{1} - k_{2} x_{2} \\ x_{3}^{'} = k_{2} x_{2} \end{matrix}]$ i.c.	system_of_ODEs	✓	✓	✓	✓

17791	$[\begin{matrix} x_{1}^{'} = 2 x_{1} - x_{2} + e^{t} \\ x_{2}^{'} = 3 x_{1} - 2 x_{2} + t \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17792	$[\begin{matrix} x_{1}^{'} = x_{1} + \sqrt{3} x_{2} + e^{t} \\ x_{2}^{'} = \sqrt{3} x_{1} - x_{2} + \sqrt{3} e^{- t} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17793	$[\begin{matrix} x_{1}^{'} = 2 x_{1} - 5 x_{2} - \cos (t) \\ x_{2}^{'} = x_{1} - 2 x_{2} + \sin (t) \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17794	$[\begin{matrix} x_{1}^{'} = x_{1} + x_{2} + e^{- 2 t} \\ x_{2}^{'} = 4 x_{1} - 2 x_{2} - 2 e^{t} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17795	$[\begin{matrix} x_{1}^{'} = 1 - x_{2} + x_{3} \\ x_{2}^{'} = 2 x_{2} + t \\ x_{3}^{'} = - 2 x_{1} - x_{2} + 3 x_{3} + e^{- t} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17796	$[\begin{matrix} x_{1}^{'} = - \frac{x_{1}}{2} + \frac{x_{2}}{2} - \frac{x_{3}}{2} + 1 \\ x_{2}^{'} = - x_{1} - 2 x_{2} + x_{3} + t \\ x_{3}^{'} = \frac{x_{1}}{2} + \frac{x_{2}}{2} - \frac{3 x_{3}}{2} + 11 e^{- 3 t} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17797	$[\begin{matrix} x_{1}^{'} = - 4 x_{1} + x_{2} + 3 x_{3} + 3 t \\ x_{2}^{'} = - 2 x_{2} \\ x_{3}^{'} = - 2 x_{1} + x_{2} + x_{3} + 3 \cos (t) \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17798	$[\begin{matrix} x_{1}^{'} = - \frac{x_{1}}{2} + x_{2} + \frac{x_{3}}{2} \\ x_{2}^{'} = x_{1} - x_{2} + x_{3} - \sin (t) \\ x_{3}^{'} = \frac{x_{1}}{2} + x_{2} - \frac{x_{3}}{2} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

17799	$[\begin{matrix} x_{1}^{'} = 2 x_{1} + x_{2} + 1 \\ x_{2}^{'} = x_{1} - 2 x_{2} + x_{3} \\ x_{3}^{'} = x_{2} - x_{3} \end{matrix}]$ i.c.	system_of_ODEs	✓	✓	✓	✗

17800	$[\begin{matrix} x_{1}^{'} = 4 x_{1} - 9 x_{2} \\ x_{2}^{'} = x_{1} - 2 x_{2} \end{matrix}]$	system_of_ODEs	✓	✓	✓	✓

2.2.178 Problems 17701 to 17800