2.3.9 Problems 801 to 900

Table 2.549: Main lookup table. Sorted by time used to solve.

#	ID	ODE	Solved?	Maple	Mma	Sympy	time(sec)
801	8931	\begin{align*} y^{\prime \prime \prime }-i y^{\prime \prime }+y^{\prime }-i y&=0 \\ \end{align*}	✓	✓	✓	✓	0.058
802	9296	\begin{align*} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+6 y^{\prime \prime }+4 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.058
803	13096	\begin{align*} a_{1} x^{\prime \prime }+b_{1} x^{\prime }+c_{1} x-A y^{\prime }&=B \,{\mathrm e}^{i \omega t} \\ a_{2} y^{\prime \prime }+b_{2} y^{\prime }+c_{2} y+A x^{\prime }&=0 \\ \end{align*}	✗	✓	✓	✗	0.058
804	16467	\begin{align*} y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+24 y^{\prime \prime }-32 y^{\prime }+16 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.058
805	16534	\begin{align*} y^{\prime \prime \prime }-8 y^{\prime \prime }+37 y^{\prime }-50 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.058
806	16545	\begin{align*} y^{\prime \prime \prime \prime }+13 y^{\prime \prime }+36 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.058
807	17550	\begin{align*} y^{\prime \prime \prime \prime }-9 y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.058
808	20577	\begin{align*} a^{2} y^{\prime \prime \prime \prime }&=y^{\prime \prime } \\ \end{align*}	✓	✓	✓	✓	0.058
809	21782	\begin{align*} x^{\prime }&=-x^{2}-y \\ y^{\prime }&=x \\ \end{align*}	✗	✓	✓	✗	0.058
810	21784	\begin{align*} x^{\prime }&=2 x y \\ y^{\prime }&=3 y^{2}-x^{2} \\ \end{align*}	✗	✓	✓	✗	0.058
811	21785	\begin{align*} x^{\prime }&=x^{2} \\ y^{\prime }&=2 y^{2}-x y \\ \end{align*}	✗	✓	✓	✓	0.058
812	24426	\begin{align*} 4 y^{\prime \prime \prime \prime }-15 y^{\prime \prime }+5 y^{\prime }+6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.058
813	24518	\begin{align*} y^{\prime \prime \prime }-2 y^{\prime \prime }+y^{\prime }-2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.058
814	24574	\begin{align*} y^{\prime \prime \prime }+y^{\prime \prime }&=4 \\ \end{align*}	✓	✓	✓	✓	0.058
815	25152	\begin{align*} y^{\prime \prime \prime }+2 y^{\prime \prime }+25 y^{\prime }+50 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.058
816	952	\begin{align*} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }+y^{\prime \prime }-3 y^{\prime }-6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.059
817	1472	\begin{align*} y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.059
818	2115	\begin{align*} y^{\prime \prime \prime \prime }+8 y^{\prime \prime }-9 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.059
819	2142	\begin{align*} y^{\prime \prime \prime \prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.059
820	6744	\begin{align*} a^{4} y+2 a^{2} y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.059
821	7609	\begin{align*} y^{\prime \prime \prime }+y^{\prime \prime }-6 y^{\prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.059
822	7613	\begin{align*} y^{\prime \prime \prime }+3 y^{\prime \prime }-4 y^{\prime }-12 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.059
823	7666	\begin{align*} x^{\prime \prime \prime }-x^{\prime \prime }+x^{\prime }-x&=0 \\ \end{align*}	✓	✓	✓	✓	0.059
824	8060	\begin{align*} y y^{\prime \prime \prime }+3 y^{\prime } y^{\prime \prime }-2 y y^{\prime \prime }-2 {y^{\prime }}^{2}+y^{\prime } y&={\mathrm e}^{2 x} \\ \end{align*}	✗	✓	✗	✗	0.059
825	8922	\begin{align*} y^{\prime \prime \prime }-3 i y^{\prime \prime }-3 y^{\prime }+i y&=0 \\ \end{align*}	✓	✓	✓	✓	0.059
826	9298	\begin{align*} y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.059
827	9299	\begin{align*} y^{\prime \prime \prime \prime }-2 a^{2} y^{\prime \prime }+a^{4} y&=0 \\ \end{align*}	✓	✓	✓	✓	0.059
828	9301	\begin{align*} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+2 y^{\prime \prime }+2 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.059
829	12759	\begin{align*} x^{3} y^{\prime \prime \prime }+\left (a \,x^{2 \nu }+1-\nu ^{2}\right ) x y^{\prime }+\left (b \,x^{3 \nu }+a \left (\nu -1\right ) x^{2 \nu }+\nu ^{2}-1\right ) y&=0 \\ \end{align*}	✗	✗	✓	✗	0.059
830	12764	\begin{align*} x^{3} y^{\prime \prime \prime }+3 \left (-a +1\right ) x^{2} y^{\prime \prime }+\left (4 b^{2} c^{2} x^{2 c +1}+1-4 \nu ^{2} c^{2}+3 a \left (a -1\right ) x \right ) y^{\prime }+\left (4 b^{2} c^{2} \left (c -a \right ) x^{2 c}+a \left (4 \nu ^{2} c^{2}-a^{2}\right )\right ) y&=0 \\ \end{align*}	✗	✗	✗	✗	0.059
831	12779	\begin{align*} y^{\prime \prime \prime } \sin \left (x \right )^{2}+3 y^{\prime \prime } \sin \left (x \right ) \cos \left (x \right )+\left (\cos \left (2 x \right )+4 \nu \left (\nu +1\right ) \sin \left (x \right )^{2}\right ) y^{\prime }+2 \nu \left (\nu +1\right ) y \sin \left (2 x \right )&=0 \\ \end{align*}	✗	✓	✓	✗	0.059
832	14589	\begin{align*} y^{\prime \prime \prime }+4 y^{\prime \prime }+5 y^{\prime }+6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.059
833	14592	\begin{align*} y^{\left (5\right )}-2 y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.059
834	15150	\begin{align*} 3 y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.059
835	16535	\begin{align*} y^{\prime \prime \prime }-9 y^{\prime \prime }+31 y^{\prime }-39 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.059
836	17745	\begin{align*} 2 y^{\prime \prime \prime }+3 y^{\prime \prime }+y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.059
837	20044	\begin{align*} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+8 y^{\prime \prime }-8 y^{\prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.059
838	20337	\begin{align*} y^{\prime \prime \prime \prime }+8 y^{\prime \prime }+16 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.059
839	22115	\begin{align*} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+7 y^{\prime \prime }-4 y^{\prime }+6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.059
840	23332	\begin{align*} y^{\prime \prime \prime \prime }+13 y^{\prime \prime }+36 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.059
841	24448	\begin{align*} y^{\prime \prime \prime }+6 y^{\prime \prime }+12 y^{\prime }+8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.059
842	24475	\begin{align*} y^{\prime \prime \prime }+2 y^{\prime \prime }+y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.059
843	24489	\begin{align*} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.059
844	24500	\begin{align*} 18 y^{\prime \prime \prime }-33 y^{\prime \prime }+20 y^{\prime }-4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.059
845	24510	\begin{align*} y^{\left (5\right )}+y^{\prime \prime \prime \prime }-9 y^{\prime \prime \prime }-13 y^{\prime \prime }+8 y^{\prime }+12 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.059
846	24528	\begin{align*} y^{\prime \prime \prime }+9 y^{\prime }&=11 \\ \end{align*}	✓	✓	✓	✓	0.059
847	2795	\begin{align*} x^{\prime }&=x-y^{2} \\ y^{\prime }&=x^{2}-y \\ z^{\prime }&={\mathrm e}^{z}-x \\ \end{align*}	✗	✓	✓	✗	0.060
848	3092	\begin{align*} y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.060
849	4451	\begin{align*} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+2 y^{\prime \prime }-2 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.060
850	4452	\begin{align*} y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+5 y^{\prime \prime }+5 y^{\prime }-6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.060
851	4572	\begin{align*} x_{1}^{\prime }&=-x_{1}+2 x_{2} \\ x_{2}^{\prime }&=-3 x_{1}+4 x_{2}+\frac {{\mathrm e}^{3 t}}{1+{\mathrm e}^{2 t}} \\ \end{align*}	✗	✓	✓	✗	0.060
852	6772	\begin{align*} -a^{4} x^{3} y-y^{\prime \prime } x +2 x^{2} y^{\prime \prime \prime }+x^{3} y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✗	✓	✓	✗	0.060
853	7068	\begin{align*} y^{\prime }+2 y^{\prime \prime \prime }+y^{\left (5\right )}&=0 \\ \end{align*}	✓	✓	✓	✓	0.060
854	7984	\begin{align*} y^{\prime \prime \prime \prime }+4 y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.060
855	8118	\begin{align*} x^{3} y^{\prime \prime }+y&=\frac {1}{x^{4}} \\ \end{align*} Series expansion around \(x=0\).	✗	✗	✓	✗	0.060
856	9302	\begin{align*} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-2 y^{\prime \prime }-6 y^{\prime }+5 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.060
857	12815	\begin{align*} \nu ^{4} x^{4} y^{\prime \prime \prime \prime }+\left (4 \nu -2\right ) \nu ^{3} x^{3} y^{\prime \prime \prime }+\left (\nu -1\right ) \left (2 \nu -1\right ) \nu ^{2} x^{2} y^{\prime \prime }-\frac {b^{4} x^{\frac {2}{\nu }} y}{16}&=0 \\ \end{align*}	✗	✓	✓	✗	0.060
858	12830	\begin{align*} x y^{\left (5\right )}-\left (a A_{1} -A_{0} \right ) x -A_{1} -\left (\left (a A_{2} -A_{1} \right ) x +A_{2} \right ) y^{\prime }&=0 \\ \end{align*}	✗	✗	✗	✗	0.060
859	13126	\begin{align*} x&=t x^{\prime }+f \left (x^{\prime }, y^{\prime }\right ) \\ y&=t y^{\prime }+g \left (x^{\prime }, y^{\prime }\right ) \\ \end{align*}	✗	✓	✓	✓	0.060
860	15671	\begin{align*} y^{\prime \prime \prime \prime }-16 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.060
861	16536	\begin{align*} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }+2 y^{\prime \prime }+4 y^{\prime }-8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.060
862	16537	\begin{align*} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+10 y^{\prime \prime }+18 y^{\prime }+9 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.060
863	17541	\begin{align*} y^{\prime \prime \prime }-10 y^{\prime \prime }+25 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.060
864	18138	\begin{align*} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+4 y^{\prime \prime }-2 y^{\prime }-5 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.060
865	20064	\begin{align*} y^{\left (5\right )}-13 y^{\prime \prime \prime }+26 y^{\prime \prime }+82 y^{\prime }+104 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.060
866	21176	\begin{align*} x^{\prime \prime \prime }-x^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.060
867	21309	\begin{align*} x^{\prime \prime \prime }-x&=0 \\ \end{align*}	✓	✓	✓	✓	0.060
868	22494	\begin{align*} x y^{\prime \prime \prime }+y^{\prime \prime }&=1 \\ \end{align*}	✓	✓	✓	✓	0.060
869	24427	\begin{align*} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }-13 y^{\prime \prime }+38 y^{\prime }-24 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.060
870	24511	\begin{align*} y^{\prime \prime \prime \prime }-11 y^{\prime \prime \prime }+36 y^{\prime \prime }-16 y^{\prime }-64 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.060
871	24524	\begin{align*} y^{\prime \prime \prime }-5 y^{\prime \prime }+4 y&=14 \\ \end{align*}	✓	✓	✓	✓	0.060
872	24527	\begin{align*} y^{\prime \prime \prime }-7 y^{\prime \prime }+14 y^{\prime }-8 y&=2 \\ \end{align*}	✓	✓	✓	✓	0.060
873	25154	\begin{align*} y^{\prime \prime \prime \prime }+8 y^{\prime \prime \prime }+18 y^{\prime \prime }-27 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.060
874	311	\begin{align*} y^{\prime \prime }&=\left (-2+2 i \sqrt {3}\right ) y \\ \end{align*}	✓	✓	✓	✓	0.061
875	7968	\begin{align*} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.061
876	19225	\begin{align*} t x^{\prime }+6 x-y-3 z&=0 \\ t y^{\prime }+23 x-6 y-9 z&=0 \\ t z^{\prime }+x+y-2 z&=0 \\ \end{align*}	✗	✓	✓	✓	0.061
877	21701	\begin{align*} x^{4} y^{\prime \prime \prime \prime }+4 x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }+y^{\prime } x -y&=-\ln \left (x \right ) \\ \end{align*} Series expansion around \(x=0\).	✗	✗	✓	✗	0.061
878	21779	\begin{align*} x^{\prime }&=x+4 y-y^{2} \\ y^{\prime }&=6 x-y+2 x y \\ \end{align*}	✗	✗	✗	✗	0.061
879	21780	\begin{align*} x^{\prime }&=\sin \left (x\right )-4 y \\ y^{\prime }&=\sin \left (2 x\right )-5 y \\ \end{align*}	✗	✗	✗	✗	0.061
880	21900	\begin{align*} 2 y^{\prime \prime \prime }+y^{\prime \prime } x +2 y^{\prime }+y x&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 0 \\ y^{\prime \prime }\left (0\right ) &= -1 \\ \end{align*} Series expansion around \(x=0\).	✗	✓	✓	✗	0.061
881	24443	\begin{align*} 2 y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }-2 y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.061
882	24447	\begin{align*} y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.061
883	24485	\begin{align*} 2 y^{\prime \prime \prime }-y^{\prime \prime }+36 y^{\prime }-18 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.061
884	24507	\begin{align*} y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.061
885	290	\begin{align*} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.062
886	945	\begin{align*} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.062
887	1477	\begin{align*} y^{\left (6\right )}-y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.062
888	3090	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.062
889	7047	\begin{align*} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+y^{\prime \prime }-4 y^{\prime }-2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.062
890	8206	\begin{align*} y^{\prime \prime \prime \prime }-20 y^{\prime \prime \prime }+158 y^{\prime \prime }-580 y^{\prime }+841 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.062
891	12819	\begin{align*} y^{\prime \prime \prime \prime } \sin \left (x \right )^{6}+4 y^{\prime \prime \prime } \sin \left (x \right )^{5} \cos \left (x \right )-6 y^{\prime \prime } \sin \left (x \right )^{6}-4 y^{\prime } \sin \left (x \right )^{5} \cos \left (x \right )+y \sin \left (x \right )^{6}-f&=0 \\ \end{align*}	✗	✓	✓	✗	0.062
892	15425	\begin{align*} y^{\prime \prime \prime \prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.062
893	15672	\begin{align*} y^{\prime \prime \prime \prime }+16 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.062
894	15674	\begin{align*} y^{\prime \prime \prime \prime }-8 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.062
895	17545	\begin{align*} 3 y^{\prime \prime \prime }-4 y^{\prime \prime }-5 y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.062
896	21308	\begin{align*} x^{\prime \prime \prime }+x&=0 \\ \end{align*}	✓	✓	✓	✓	0.062
897	21786	\begin{align*} x^{\prime }&=-x+y^{2} \\ y^{\prime }&=x^{2}-y \\ \end{align*}	✗	✓	✗	✗	0.062
898	24478	\begin{align*} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+10 y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.062
899	24491	\begin{align*} y^{\prime \prime \prime \prime }-13 y^{\prime \prime }+36 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.062
900	24495	\begin{align*} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-3 y^{\prime \prime }+y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.062