2.3.10 Problems 901 to 1000

Table 2.551: Main lookup table. Sorted by time used to solve.

#	ID	ODE	Solved?	Maple	Mma	Sympy	time(sec)
901	14592	\begin{align*} y^{\left (5\right )}-2 y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.070
902	14593	\begin{align*} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-3 y^{\prime \prime }+y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.070
903	15690	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }-4 y^{\prime }+12 y&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 5 \\ y^{\prime \prime }\left (0\right ) &= -1 \\ \end{align*}	✓	✓	✓	✓	0.070
904	16532	\begin{align*} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.070
905	16548	\begin{align*} 16 y^{\prime \prime \prime \prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.070
906	19450	\begin{align*} x^{2} y^{\prime \prime }+2 y^{\prime } x -2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.070
907	20146	\begin{align*} x^{4} y^{\prime \prime }+y^{\prime } x +y&=\frac {1}{x} \\ \end{align*} Series expansion around \(x=0\).	✗	✗	✓	✗	0.070
908	21312	\begin{align*} x^{\prime \prime \prime \prime }+8 x^{\prime \prime \prime }+23 x^{\prime \prime }+2 x^{\prime }+12 x&=0 \\ \end{align*}	✓	✓	✓	✓	0.070
909	21503	\begin{align*} y^{\prime \prime \prime }-4 y^{\prime \prime }-3 y^{\prime }+18 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.070
910	22336	\begin{align*} {| y^{\prime }|}+1&=0 \\ \end{align*}	✗	✓	✗	✗	0.070
911	25538	\begin{align*} y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.070
912	264	\begin{align*} x^{2} y^{\prime \prime }+y^{\prime } x -9 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.071
913	296	\begin{align*} y^{\prime \prime \prime }+10 y^{\prime \prime }+25 y^{\prime }&=0 \\ y \left (0\right ) &= 3 \\ y^{\prime }\left (0\right ) &= 4 \\ y^{\prime \prime }\left (0\right ) &= 5 \\ \end{align*}	✓	✓	✓	✓	0.071
914	1476	\begin{align*} y^{\left (6\right )}-3 y^{\prime \prime \prime \prime }+3 y^{\prime \prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.071
915	2123	\begin{align*} y^{\prime \prime \prime \prime }+12 y^{\prime \prime }+36 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.071
916	3071	\begin{align*} y^{\prime \prime \prime }-7 y^{\prime }+6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.071
917	7668	\begin{align*} x^{\prime \prime \prime \prime }+x&=0 \\ \end{align*}	✓	✓	✓	✓	0.071
918	8918	\begin{align*} y^{\prime \prime \prime }-i y^{\prime \prime }+4 y^{\prime }-4 i y&=0 \\ \end{align*}	✓	✓	✓	✓	0.071
919	14589	\begin{align*} y^{\prime \prime \prime }+4 y^{\prime \prime }+5 y^{\prime }+6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.071
920	16530	\begin{align*} y^{\prime \prime \prime \prime }-18 y^{\prime \prime }+81 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.071
921	16544	\begin{align*} y^{\prime \prime \prime \prime }-3 y^{\prime \prime }-4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.071
922	20329	\begin{align*} 2 y-y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.071
923	22667	\begin{align*} y^{\prime \prime \prime \prime }+6 y^{\prime \prime }+25 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.071
924	2133	\begin{align*} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= -1 \\ y^{\prime \prime }\left (0\right ) &= -4 \\ \end{align*}	✓	✓	✓	✓	0.072
925	3078	\begin{align*} y^{\prime \prime \prime }-4 y^{\prime \prime }+3 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.072
926	4451	\begin{align*} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+2 y^{\prime \prime }-2 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.072
927	12764	\begin{align*} x^{3} y^{\prime \prime \prime }+3 \left (1-a \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 (-1+a \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*}	✗	✗	✗	✗	0.072
928	16528	\begin{align*} y^{\prime \prime \prime \prime }-34 y^{\prime \prime }+225 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.072
929	16535	\begin{align*} y^{\prime \prime \prime }-9 y^{\prime \prime }+31 y^{\prime }-39 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.072
930	20577	\begin{align*} a^{2} y^{\prime \prime \prime \prime }&=y^{\prime \prime } \\ \end{align*}	✓	✓	✓	✓	0.072
931	22636	\begin{align*} y^{\prime \prime \prime }-16 y^{\prime }&=0 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (0\right ) &= 0 \\ y^{\prime \prime }\left (0\right ) &= 0 \\ \end{align*}	✓	✓	✓	✓	0.072
932	22665	\begin{align*} y^{\prime \prime \prime \prime }+4 y^{\prime \prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.072
933	294	\begin{align*} 2 y^{\prime \prime \prime }-3 y^{\prime \prime }-2 y^{\prime }&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= -1 \\ y^{\prime \prime }\left (0\right ) &= 3 \\ \end{align*}	✓	✓	✓	✓	0.073
934	2129	\begin{align*} y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }-3 y&=0 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (0\right ) &= 14 \\ y^{\prime \prime }\left (0\right ) &= -40 \\ \end{align*}	✓	✓	✓	✓	0.073
935	2130	\begin{align*} y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y&=0 \\ y \left (0\right ) &= -2 \\ y^{\prime }\left (0\right ) &= 9 \\ y^{\prime \prime }\left (0\right ) &= 4 \\ \end{align*}	✓	✓	✓	✓	0.073
936	2135	\begin{align*} 8 y^{\prime \prime \prime }-4 y^{\prime \prime }-2 y^{\prime }+y&=0 \\ y \left (0\right ) &= 4 \\ y^{\prime }\left (0\right ) &= -3 \\ y^{\prime \prime }\left (0\right ) &= -1 \\ \end{align*}	✓	✓	✓	✓	0.073
937	2709	\begin{align*} y^{\prime \prime \prime }-2 y^{\prime \prime }-y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.073
938	3080	\begin{align*} y^{\prime \prime \prime }-5 y^{\prime \prime }-2 y^{\prime }+24 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.073
939	3093	\begin{align*} 4 y^{\prime \prime \prime }-3 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.073
940	3699	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }-y^{\prime }+3 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.073
941	6744	\begin{align*} a^{4} y+2 a^{2} y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.073
942	7353	\begin{align*} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+13 y^{\prime \prime }-18 y^{\prime }+36 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.073
943	13056	\begin{align*} 9 {y^{\prime \prime }}^{2} y^{\left (5\right )}-45 y^{\prime \prime } y^{\prime \prime \prime } y^{\prime \prime \prime \prime }+40 y^{\prime \prime \prime }&=0 \\ \end{align*}	✗	✓	✓	✗	0.073
944	15138	\begin{align*} y^{\prime \prime \prime }&=1 \\ \end{align*}	✓	✓	✓	✓	0.073
945	16534	\begin{align*} y^{\prime \prime \prime }-8 y^{\prime \prime }+37 y^{\prime }-50 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.073
946	16549	\begin{align*} 4 y^{\prime \prime \prime \prime }+15 y^{\prime \prime }-4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.073
947	20337	\begin{align*} y^{\prime \prime \prime \prime }+8 y^{\prime \prime }+16 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.073
948	21505	\begin{align*} y^{\prime \prime \prime \prime }-2 y^{\prime \prime }-3 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.073
949	3072	\begin{align*} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.074
950	4149	\begin{align*} y^{\left (6\right )}+9 y^{\prime \prime \prime \prime }+24 y^{\prime \prime }+16 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.074
951	7978	\begin{align*} y^{\prime \prime \prime }+y^{\prime \prime }-2 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.074
952	10056	\begin{align*} a y y^{\prime \prime }+b y&=0 \\ \end{align*}	✓	✓	✓	✓	0.074
953	12708	\begin{align*} y^{\prime \prime \prime }-\lambda y&=0 \\ \end{align*}	✓	✓	✓	✓	0.074
954	19449	\begin{align*} y^{\prime \prime }-\frac {x y^{\prime }}{x -1}+\frac {y}{x -1}&=0 \\ \end{align*}	✓	✓	✓	✗	0.074
955	21176	\begin{align*} x^{\prime \prime \prime }-x^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.074
956	21202	\begin{align*} x^{\prime \prime \prime \prime }-3 x^{\prime \prime \prime }+2 x^{\prime }-5 x&=0 \\ \end{align*}	✓	✓	✓	✓	0.074
957	25088	\begin{align*} y^{\prime \prime \prime }+y^{\prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.074
958	940	\begin{align*} y^{\prime \prime \prime \prime }-16 y^{\prime \prime }+16 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.075
959	1475	\begin{align*} y^{\left (6\right )}+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.075
960	2138	\begin{align*} 4 y^{\prime \prime \prime \prime }-13 y^{\prime \prime }+9 y&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 3 \\ y^{\prime \prime }\left (0\right ) &= 1 \\ y^{\prime \prime \prime }\left (0\right ) &= 3 \\ \end{align*}	✓	✓	✓	✓	0.075
961	3069	\begin{align*} y^{\prime \prime \prime }-4 y^{\prime \prime }+y^{\prime }+6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.075
962	3703	\begin{align*} y^{\prime \prime \prime }+y^{\prime \prime }-10 y^{\prime }+8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.075
963	3705	\begin{align*} y^{\prime \prime \prime \prime }-13 y^{\prime \prime }+36 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.075
964	6624	\begin{align*} y+y^{\prime }-y^{\prime \prime }+y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.075
965	6783	\begin{align*} y^{\prime }+2 y^{\prime \prime \prime }+y^{\left (5\right )}&=0 \\ \end{align*}	✓	✓	✓	✓	0.075
966	21879	\begin{align*} y^{\prime \prime \prime }-2 y^{\prime \prime }+3 y^{\prime }-6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.075
967	22784	\begin{align*} y^{\prime \prime \prime }-2 y^{\prime \prime }&=1 \\ \end{align*}	✓	✓	✓	✓	0.075
968	307	\begin{align*} y^{\prime \prime \prime \prime }&=y^{\prime \prime \prime } \\ y \left (0\right ) &= 18 \\ y^{\prime }\left (0\right ) &= 12 \\ y^{\prime \prime }\left (0\right ) &= 13 \\ y^{\prime \prime \prime }\left (0\right ) &= 7 \\ \end{align*}	✓	✓	✓	✓	0.076
969	3068	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }-4 y^{\prime }+12 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.076
970	3095	\begin{align*} y^{\prime \prime \prime }-7 y^{\prime \prime }+16 y^{\prime }-12 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.076
971	3497	\begin{align*} 2 y y^{\prime \prime \prime }+2 \left (y+3 y^{\prime }\right ) y^{\prime \prime }+2 {y^{\prime }}^{2}&=\sin \left (x \right ) \\ \end{align*}	✗	✓	✓	✗	0.076
972	3701	\begin{align*} y^{\prime \prime \prime }+3 y^{\prime \prime }-18 y^{\prime }-40 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.076
973	4449	\begin{align*} y^{\prime \prime \prime \prime }+18 y^{\prime \prime }+81 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.076
974	7230	\begin{align*} x^{2} y^{\prime }+3 y x&=1 \\ \end{align*}	✓	✓	✓	✓	0.076
975	9295	\begin{align*} y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.076
976	9303	\begin{align*} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.076
977	15425	\begin{align*} y^{\prime \prime \prime \prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.076
978	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*}	✓	✓	✓	✓	0.076
979	16545	\begin{align*} y^{\prime \prime \prime \prime }+13 y^{\prime \prime }+36 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.076
980	16550	\begin{align*} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+16 y^{\prime }-16 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.076
981	18127	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 2 \\ y^{\prime \prime }\left (0\right ) &= 3 \\ \end{align*}	✓	✓	✓	✓	0.076
982	20698	\begin{align*} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-9 y^{\prime \prime }-11 y^{\prime }-4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.076
983	21573	\begin{align*} y^{\prime \prime \prime \prime }+12 y^{\prime \prime \prime }+54 y^{\prime \prime }+108 y^{\prime }+81 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.076
984	22029	\begin{align*} y \,{\mathrm e}^{y x}+x \,{\mathrm e}^{y x} y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.076
985	22178	\begin{align*} x^{3} y^{\prime \prime }+y&=0 \\ \end{align*} Series expansion around \(x=0\).	✗	✗	✓	✗	0.076
986	22663	\begin{align*} y^{\left (6\right )}-64 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.076
987	25153	\begin{align*} y^{\left (6\right )}+27 y^{\prime \prime \prime \prime }+243 y^{\prime \prime }+729 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.076
988	290	\begin{align*} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.077
989	6679	\begin{align*} 2 y^{\prime \prime } x +x^{2} y^{\prime \prime \prime }&=a \\ \end{align*}	✓	✓	✓	✓	0.077
990	6782	\begin{align*} 2 y^{\prime }-2 y^{\prime \prime }-y^{\prime \prime \prime }+y^{\left (5\right )}&=0 \\ \end{align*}	✓	✓	✓	✓	0.077
991	7182	\begin{align*} x^{3} y^{\prime \prime }-\left (2 x -1\right ) y&=0 \\ \end{align*} Series expansion around \(x=0\).	✗	✗	✓	✗	0.077
992	8922	\begin{align*} y^{\prime \prime \prime }-3 i y^{\prime \prime }-3 y^{\prime }+i y&=0 \\ \end{align*}	✓	✓	✓	✓	0.077
993	14617	\begin{align*} y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }+y^{\prime \prime }+13 y^{\prime }+30 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.077
994	21175	\begin{align*} 2 x^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.077
995	21196	\begin{align*} x^{\left (6\right )}-64 x&=0 \\ \end{align*}	✓	✓	✓	✓	0.077
996	22647	\begin{align*} 4 y^{\prime \prime \prime \prime }-20 y^{\prime \prime }+25 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.077
997	2295	\begin{align*} y^{\prime }-2 t y&=t \\ \end{align*}	✓	✓	✓	✓	0.078
998	3073	\begin{align*} y^{\prime \prime \prime }-4 y^{\prime \prime }-17 y^{\prime }+60 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.078
999	3074	\begin{align*} y^{\prime \prime \prime }-9 y^{\prime \prime }+23 y^{\prime }-15 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.078
1000	3079	\begin{align*} 4 y^{\prime \prime \prime }+2 y^{\prime \prime }-4 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.078