2.3.10 Problems 901 to 1000

Table 2.593: Main lookup table. Sorted by time used to solve.

#	ID	ODE	Solved?	Maple	Mma	Sympy	time(sec)
901	17550	\begin{align*} y^{\prime \prime \prime \prime }-9 y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.085
902	17747	\begin{align*} 9 y^{\prime \prime \prime }+12 y^{\prime \prime }+13 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.085
903	21177	\begin{align*} x^{\prime \prime \prime }+5 x^{\prime \prime }-6 x&=0 \\ \end{align*}	✓	✓	✓	✓	0.085
904	22675	\begin{align*} y^{\prime \prime \prime }-4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.085
905	22893	\begin{align*} r^{\prime \prime }\left (t \right )&=r \left (t \right )+y \\ y^{\prime \prime }&=5 r \left (t \right )-3 y+t^{2} \\ \end{align*}	✗	✗	✓	✓	0.085
906	22929	\begin{align*} x^{\prime \prime }&=y+4 \,{\mathrm e}^{-2 t} \\ y^{\prime \prime }&=x-{\mathrm e}^{-2 t} \\ \end{align*}	✗	✓	✓	✓	0.085
907	24444	\begin{align*} 4 y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }-2 y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.085
908	24452	\begin{align*} 4 y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }-23 y^{\prime \prime }+12 y^{\prime }+36 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.085
909	24494	\begin{align*} y^{\prime \prime \prime }+y^{\prime \prime }-16 y^{\prime }-16 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.085
910	24507	\begin{align*} y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.085
911	25147	\begin{align*} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.085
912	27603	\begin{align*} \left (y^{\prime } y^{\prime \prime \prime }-3 {y^{\prime \prime }}^{2}\right ) y&={y^{\prime }}^{5} \\ \end{align*}	✗	✓	✗	✗	0.085
913	1475	\begin{align*} y^{\left (6\right )}+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.086
914	7182	\begin{align*} x^{3} y^{\prime \prime }-\left (2 x -1\right ) y&=0 \\ \end{align*} Series expansion around \(x=0\).	✗	✗	✓	✗	0.086
915	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*}	✓	✓	✓	✓	0.086
916	12826	\begin{align*} y^{\left (5\right )}+a \,x^{\nu } y^{\prime }+a \nu \,x^{\nu -1} y&=0 \\ \end{align*}	✗	✗	✓	✗	0.086
917	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*}	✗	✗	✗	✗	0.086
918	15671	\begin{align*} y^{\prime \prime \prime \prime }-16 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.086
919	21476	\begin{align*} 2 y-y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.086
920	23251	\begin{align*} y^{\prime \prime \prime }&=2 \\ \end{align*}	✓	✓	✓	✓	0.086
921	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*}	✓	✓	✓	✓	0.086
922	24451	\begin{align*} 4 y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }-3 y^{\prime \prime }-2 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.086
923	24506	\begin{align*} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+5 y^{\prime \prime }-8 y^{\prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.086
924	946	\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*}	✓	✓	✓	✓	0.087
925	948	\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*}	✓	✓	✓	✓	0.087
926	2144	\begin{align*} y^{\left (6\right )}-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.087
927	4147	\begin{align*} y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.087
928	4148	\begin{align*} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-9 y^{\prime \prime }-11 y^{\prime }-4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.087
929	12797	\begin{align*} 2 y^{\prime \prime }+4 x y^{\prime \prime \prime }+x^{2} y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.087
930	16531	\begin{align*} y^{\left (5\right )}+18 y^{\prime \prime \prime }+81 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.087
931	17543	\begin{align*} y^{\prime \prime \prime \prime }+16 y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.087
932	17746	\begin{align*} 9 y^{\prime \prime \prime }+36 y^{\prime \prime }+40 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.087
933	22892	\begin{align*} x^{\prime }+3 y^{\prime }&=x y \\ 3 x^{\prime }-y^{\prime }&=\sin \left (t \right ) \\ \end{align*}	✗	✓	✗	✗	0.087
934	25150	\begin{align*} y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.087
935	254	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }-2 y&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 0 \\ y^{\prime \prime }\left (0\right ) &= 0 \\ \end{align*}	✓	✓	✓	✓	0.088
936	7273	\begin{align*} y^{\prime \prime \prime }+3 y^{\prime \prime }-9 y^{\prime }-5 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.088
937	16546	\begin{align*} y^{\left (6\right )}-3 y^{\prime \prime \prime \prime }+3 y^{\prime \prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.088
938	17573	\begin{align*} y^{\prime \prime \prime }+9 y^{\prime \prime }+16 y^{\prime }-26 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.088
939	21503	\begin{align*} y^{\prime \prime \prime }-4 y^{\prime \prime }-3 y^{\prime }+18 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.088
940	21879	\begin{align*} y^{\prime \prime \prime }-2 y^{\prime \prime }+3 y^{\prime }-6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.088
941	23304	\begin{align*} 2 y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }-y^{\prime \prime }+2 y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.088
942	24453	\begin{align*} y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }-6 y^{\prime \prime }-28 y^{\prime }-24 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.088
943	24516	\begin{align*} y^{\prime \prime \prime \prime }-7 y^{\prime \prime \prime }+11 y^{\prime \prime }+5 y^{\prime }-14 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.088
944	27560	\begin{align*} y y^{\prime \prime \prime }&=y^{\prime } y^{\prime \prime } \\ \end{align*}	✗	✓	✓	✗	0.088
945	6609	\begin{align*} y^{\prime }+y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.089
946	8118	\begin{align*} x^{3} y^{\prime \prime }+y&=\frac {1}{x^{4}} \\ \end{align*} Series expansion around \(x=0\).	✗	✗	✓	✗	0.089
947	9081	\begin{align*} 2 y^{\prime \prime \prime }+y^{\prime \prime }-5 y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.089
948	9303	\begin{align*} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.089
949	10541	\begin{align*} y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}+2\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.089
950	22666	\begin{align*} y^{\prime \prime \prime \prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.089
951	23991	\begin{align*} y^{\left (8\right )}-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.089
952	24513	\begin{align*} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+2 y^{\prime \prime }-8 y^{\prime }-8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.089
953	25154	\begin{align*} y^{\prime \prime \prime \prime }+8 y^{\prime \prime \prime }+18 y^{\prime \prime }-27 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.089
954	26788	\begin{align*} y^{\left (5\right )}+7 y^{\prime \prime \prime \prime }+33 y^{\prime \prime \prime }+88 y^{\prime \prime }+122 y^{\prime }+60 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.089
955	4448	\begin{align*} y^{\prime \prime \prime \prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.090
956	8919	\begin{align*} y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.090
957	13034	\begin{align*} 2 \left (x^{2}+1\right ) {y^{\prime \prime }}^{2}-x \left (x +4 y^{\prime }\right ) y^{\prime \prime }+2 \left (x +y^{\prime }\right ) y^{\prime }-2 y&=0 \\ \end{align*}	✗	✓	✓	✗	0.090
958	14089	\begin{align*} y^{\prime \prime \prime }-y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.090
959	15664	\begin{align*} y^{\prime }+y^{\prime \prime \prime }&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 0 \\ y^{\prime \prime }\left (0\right ) &= -1 \\ \end{align*}	✓	✓	✓	✓	0.090
960	23310	\begin{align*} 6 y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+y^{\prime \prime }-7 y^{\prime }-6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.090
961	27602	\begin{align*} y^{2} \left (x^{3} y^{\prime \prime \prime }-2 x y^{\prime }-3 y\right )&=x^{3} y^{\prime } \left (3 y y^{\prime \prime }-2 {y^{\prime }}^{2}\right ) \\ \end{align*}	✗	✓	✗	✗	0.090
962	27622	\begin{align*} y^{\left (6\right )}+64 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.090
963	7073	\begin{align*} 3 y^{\prime \prime \prime }+5 y^{\prime \prime }+y^{\prime }-y&=0 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (0\right ) &= 1 \\ y^{\prime \prime }\left (0\right ) &= -1 \\ \end{align*}	✓	✓	✓	✓	0.091
964	7617	\begin{align*} y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+5 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.091
965	8929	\begin{align*} y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.091
966	11279	\begin{align*} y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.091
967	17555	\begin{align*} y^{\left (5\right )}+4 y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.091
968	24455	\begin{align*} 4 y^{\left (5\right )}-23 y^{\prime \prime \prime }-33 y^{\prime \prime }-17 y^{\prime }-3 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.091
969	24482	\begin{align*} y^{\prime \prime \prime \prime }+18 y^{\prime \prime }+81 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.091
970	25915	\begin{align*} y^{\prime \prime \prime }-y^{\prime \prime }-2 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.091
971	26818	\begin{align*} x^{\prime \prime }-2 x^{\prime }+2 x&=1 \\ x \left (0\right ) &= {\frac {1}{2}} \\ x^{\prime }\left (0\right ) &= 0 \\ \end{align*} Using Laplace transform method.	✓	✓	✓	✓	0.091
972	1468	\begin{align*} y^{\prime \prime \prime }+2 y^{\prime \prime }-y^{\prime }-3 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.092
973	8829	\begin{align*} a^{2} y^{\prime \prime \prime \prime }&=y^{\prime \prime } \\ \end{align*}	✓	✓	✓	✓	0.092
974	9295	\begin{align*} y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.092
975	13126	\begin{align*} x&=x^{\prime } t +f \left (x^{\prime }, y^{\prime }\right ) \\ y&=t y^{\prime }+g \left (x^{\prime }, y^{\prime }\right ) \\ \end{align*}	✗	✓	✓	✓	0.092
976	15673	\begin{align*} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+8 y^{\prime \prime }-8 y^{\prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.092
977	15678	\begin{align*} y^{\left (8\right )}+8 y^{\prime \prime \prime \prime }+16 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.092
978	17556	\begin{align*} y^{\left (5\right )}+4 y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.092
979	18709	\begin{align*} x^{\prime }&=2-y \\ y^{\prime }&=y-x^{2} \\ \end{align*}	✗	✗	✗	✗	0.092
980	21178	\begin{align*} x^{\prime \prime \prime }-4 x^{\prime \prime }+x^{\prime }-4 x&=0 \\ \end{align*}	✓	✓	✓	✓	0.092
981	22111	\begin{align*} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.092
982	22121	\begin{align*} y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.092
983	24456	\begin{align*} 4 y^{\left (5\right )}-15 y^{\prime \prime \prime }-5 y^{\prime \prime }+15 y^{\prime }+9 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.092
984	24483	\begin{align*} 2 y^{\prime \prime \prime \prime }+11 y^{\prime \prime \prime }-4 y^{\prime \prime }-69 y^{\prime }+34 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.092
985	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*}	✓	✓	✓	✓	0.092
986	25088	\begin{align*} y^{\prime \prime \prime }+y^{\prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.092
987	25536	\begin{align*} y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.092
988	26819	\begin{align*} x^{\prime \prime }-5 x^{\prime }+6 x&=12 \\ x \left (0\right ) &= 2 \\ x^{\prime }\left (0\right ) &= 0 \\ \end{align*} Using Laplace transform method.	✓	✓	✓	✓	0.092
989	26821	\begin{align*} x^{\prime \prime }-2 x^{\prime }+1&=0 \\ x \left (0\right ) &= 0 \\ x^{\prime }\left (0\right ) &= {\frac {1}{2}} \\ \end{align*} Using Laplace transform method.	✓	✓	✓	✓	0.092
990	27619	\begin{align*} y^{\prime \prime \prime }-8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.092
991	27682	\begin{align*} y^{\prime \prime \prime }-y^{\prime }&=0 \\ y \left (0\right ) &= 3 \\ y^{\prime }\left (0\right ) &= -1 \\ y^{\prime \prime }\left (0\right ) &= 1 \\ \end{align*}	✓	✓	✓	✓	0.092
992	928	\begin{align*} x^{2} y^{\prime \prime }+x y^{\prime }-9 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.093
993	7986	\begin{align*} y^{\left (6\right )}+9 y^{\prime \prime \prime \prime }+24 y^{\prime \prime }+16 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.093
994	14597	\begin{align*} y^{\left (5\right )}&=0 \\ \end{align*}	✓	✓	✓	✓	0.093
995	17552	\begin{align*} y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }-y^{\prime \prime }+54 y^{\prime }-72 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.093
996	20123	\begin{align*} y^{\prime \prime \prime }&=x \,{\mathrm e}^{x} \\ \end{align*}	✓	✓	✓	✓	0.093
997	21505	\begin{align*} y^{\prime \prime \prime \prime }-2 y^{\prime \prime }-3 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.093
998	23348	\begin{align*} y^{\prime \prime \prime }-y^{\prime \prime }&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 3 \\ y^{\prime \prime }\left (0\right ) &= 2 \\ \end{align*}	✓	✓	✓	✓	0.093
999	6608	\begin{align*} y^{\prime \prime \prime }&=y x \\ \end{align*}	✗	✓	✓	✗	0.094
1000	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*}	✗	✓	✓	✗	0.094