2.3.9 Problems 801 to 900

Table 2.591: Main lookup table. Sorted by time used to solve.

#	ID	ODE	Solved?	Maple	Mma	Sympy	time(sec)
801	26494	\begin{align*} y^{\left (5\right )}+4 y^{\prime \prime \prime \prime }+5 y^{\prime \prime \prime }-6 y^{\prime }-4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.076
802	26778	\begin{align*} 2 y-3 y^{\prime }+y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.076
803	940	\begin{align*} y^{\prime \prime \prime \prime }-16 y^{\prime \prime }+16 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.077
804	2146	\begin{align*} y^{\left (5\right )}+y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }+y^{\prime \prime }+y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.077
805	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*}	✓	✓	✓	✓	0.077
806	18710	\begin{align*} x^{\prime }&=x-x^{2}-x y \\ y^{\prime }&=\frac {y}{2}-\frac {y^{2}}{4}-\frac {3 x y}{4} \\ \end{align*}	✗	✗	✗	✗	0.077
807	24421	\begin{align*} x^{\prime \prime \prime }-7 x^{\prime }+6 x&=0 \\ \end{align*}	✓	✓	✓	✓	0.077
808	24425	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }-3 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.077
809	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 (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*}	✗	✗	✗	✗	0.078
810	12816	\begin{align*} \left (x^{2}-1\right )^{2} y^{\prime \prime \prime \prime }+10 x \left (x^{2}-1\right ) y^{\prime \prime \prime }+\left (24 x^{2}-8-2 \left (\mu \left (\mu +1\right )+\nu \left (\nu +1\right )\right ) \left (x^{2}-1\right )\right ) y^{\prime \prime }-6 x \left (\mu \left (\mu +1\right )+\nu \left (\nu +1\right )-2\right ) y^{\prime }+\left (\left (\mu \left (\mu +1\right )-\nu \left (\nu +1\right )\right )^{2}-2 \mu \left (\mu +1\right )-2 \nu \left (\nu +1\right )\right ) y&=0 \\ \end{align*}	✗	✓	✗	✗	0.078
811	20377	\begin{align*} y^{\left (5\right )}-13 y^{\prime \prime \prime }+26 y^{\prime \prime }+82 y^{\prime }+104 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.078
812	21310	\begin{align*} x^{\prime \prime \prime }+5 x^{\prime \prime }+9 x^{\prime }+5 x&=0 \\ \end{align*}	✓	✓	✓	✓	0.078
813	22673	\begin{align*} y^{\prime \prime \prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.078
814	22886	\begin{align*} y^{\prime \prime }&=x-2 \\ y^{\prime \prime }&=y+2 \\ \end{align*}	✗	✓	✓	✓	0.078
815	22899	\begin{align*} t^{2} y^{\prime \prime }+z^{\prime } t +z&=t \\ t y^{\prime }+z&=\ln \left (t \right ) \\ \end{align*}	✗	✓	✗	✗	0.078
816	24443	\begin{align*} 2 y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }-2 y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.078
817	24449	\begin{align*} y^{\left (5\right )}-y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.078
818	24498	\begin{align*} 4 y^{\prime \prime \prime }+28 y^{\prime \prime }+61 y^{\prime }+37 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.078
819	300	\begin{align*} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }+y^{\prime \prime }-3 y^{\prime }-6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
820	2123	\begin{align*} y^{\prime \prime \prime \prime }+12 y^{\prime \prime }+36 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
821	2711	\begin{align*} y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+6 y^{\prime \prime }+4 y^{\prime }-8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
822	8059	\begin{align*} 3 x \left (y^{2} y^{\prime \prime \prime }+6 y y^{\prime } y^{\prime \prime }+2 {y^{\prime }}^{3}\right )-3 y \left (y y^{\prime \prime }+2 {y^{\prime }}^{2}\right )&=-\frac {2}{x} \\ \end{align*}	✗	✓	✗	✗	0.079
823	8921	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime }-2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
824	10056	\begin{align*} a y y^{\prime \prime }+b y&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
825	14349	\begin{align*} x^{\prime \prime \prime }-8 x&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
826	15672	\begin{align*} y^{\prime \prime \prime \prime }+16 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
827	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*}	✓	✓	✓	✓	0.079
828	17542	\begin{align*} 8 y^{\prime \prime \prime }+y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
829	17745	\begin{align*} 2 y^{\prime \prime \prime }+3 y^{\prime \prime }+y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
830	18425	\begin{align*} x^{\prime }&=\sin \left (x\right ) \cos \left (y\right ) \\ y^{\prime }&=\cos \left (x\right ) \sin \left (y\right ) \\ \end{align*}	✗	✓	✓	✗	0.079
831	18717	\begin{align*} x^{\prime }&=x \left (1-x-y\right ) \\ y^{\prime }&=y \left (\frac {3}{4}-y-\frac {x}{2}\right ) \\ \end{align*}	✗	✗	✗	✗	0.079
832	18981	\begin{align*} y^{\prime \prime \prime \prime }+y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
833	19186	\begin{align*} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
834	19536	\begin{align*} a^{4} y+2 a^{2} y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
835	19542	\begin{align*} y^{\left (5\right )}-6 y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+48 y^{\prime \prime }+16 y^{\prime }-96 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
836	19829	\begin{align*} y^{\prime \prime \prime }+3 y^{\prime \prime }+y^{\prime }-5 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
837	20146	\begin{align*} x^{4} y^{\prime \prime }+x y^{\prime }+y&=\frac {1}{x} \\ \end{align*} Series expansion around \(x=0\).	✗	✗	✓	✗	0.079
838	21785	\begin{align*} x^{\prime }&=x^{2} \\ y^{\prime }&=2 y^{2}-x y \\ \end{align*}	✗	✓	✓	✓	0.079
839	24450	\begin{align*} y^{\left (5\right )}-16 y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
840	24475	\begin{align*} y^{\prime \prime \prime }+2 y^{\prime \prime }+y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
841	24491	\begin{align*} y^{\prime \prime \prime \prime }-13 y^{\prime \prime }+36 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
842	24505	\begin{align*} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-4 y^{\prime \prime }-4 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
843	25143	\begin{align*} y^{\prime \prime \prime \prime }+y^{\prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
844	27605	\begin{align*} x^{2} \left (y^{2} y^{\prime \prime \prime }-{y^{\prime }}^{3}\right )&=2 y^{2} y^{\prime }-3 x y {y^{\prime }}^{2} \\ \end{align*}	✗	✓	✗	✗	0.079
845	947	\begin{align*} 3 y^{\prime \prime \prime }+2 y^{\prime \prime }&=0 \\ y \left (0\right ) &= -1 \\ y^{\prime }\left (0\right ) &= 0 \\ y^{\prime \prime }\left (0\right ) &= 1 \\ \end{align*}	✓	✓	✓	✓	0.080
846	4536	\begin{align*} x^{\prime \prime }-3 x-4 y&=0 \\ x+y^{\prime \prime }+y&=0 \\ \end{align*}	✗	✓	✓	✓	0.080
847	7618	\begin{align*} y^{\left (5\right )}-3 y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+15 y^{\prime \prime }+4 y^{\prime }-12 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.080
848	22089	\begin{align*} y^{\prime \prime \prime }+\left (x^{2}-1\right ) y^{\prime \prime }-2 y^{\prime }+y&=5 \sin \left (x \right ) \\ \end{align*}	✗	✗	✗	✗	0.080
849	24426	\begin{align*} 4 y^{\prime \prime \prime \prime }-15 y^{\prime \prime }+5 y^{\prime }+6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.080
850	24478	\begin{align*} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+10 y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.080
851	24509	\begin{align*} -4 y+3 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.080
852	26810	\begin{align*} y^{\left (6\right )}+y^{\left (5\right )}+3 y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+4 y^{\prime \prime }+2 y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.080
853	4143	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }-2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.081
854	6600	\begin{align*} y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.081
855	16536	\begin{align*} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }+2 y^{\prime \prime }+4 y^{\prime }-8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.081
856	18970	\begin{align*} \left (x -4\right ) y^{\prime \prime \prime \prime }+\left (x +1\right ) y^{\prime \prime }+y \tan \left (x \right )&=0 \\ \end{align*}	✗	✗	✗	✗	0.081
857	22085	\begin{align*} y^{\prime \prime \prime \prime }+x^{2} y^{\prime \prime \prime }+x y^{\prime \prime }-{\mathrm e}^{x} y^{\prime }+2 y&=x^{2}+x +1 \\ \end{align*}	✗	✗	✗	✗	0.081
858	24485	\begin{align*} 2 y^{\prime \prime \prime }-y^{\prime \prime }+36 y^{\prime }-18 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.081
859	24499	\begin{align*} 4 y^{\prime \prime \prime }+12 y^{\prime \prime }+13 y^{\prime }+10 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.081
860	26808	\begin{align*} 6 y^{\prime \prime \prime \prime }+29 y^{\prime \prime \prime }+45 y^{\prime \prime }+24 y^{\prime }+20 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.081
861	290	\begin{align*} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.082
862	9291	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.082
863	16720	\begin{align*} y^{\left (5\right )}-6 y^{\prime \prime \prime \prime }+13 y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.082
864	17541	\begin{align*} y^{\prime \prime \prime }-10 y^{\prime \prime }+25 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.082
865	21311	\begin{align*} x^{\prime \prime \prime \prime }+x^{\prime \prime \prime }-x^{\prime }-x&=0 \\ \end{align*}	✓	✓	✓	✓	0.082
866	21899	\begin{align*} y^{\prime }+y-x^{\prime \prime }+x&={\mathrm e}^{t} \\ y^{\prime }-x^{\prime }+x&={\mathrm e}^{-t} \\ \end{align*}	✗	✓	✓	✓	0.082
867	24429	\begin{align*} 4 y^{\prime \prime \prime \prime }-45 y^{\prime \prime }-70 y^{\prime }-24 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.082
868	24454	\begin{align*} 27 y^{\prime \prime \prime \prime }-18 y^{\prime \prime }+8 y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.082
869	24481	\begin{align*} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+2 y^{\prime \prime }-2 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.082
870	24497	\begin{align*} y^{\left (5\right )}+y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.082
871	24508	\begin{align*} y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.082
872	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*}	✓	✓	✓	✓	0.082
873	24514	\begin{align*} 4 y^{\prime \prime \prime \prime }-24 y^{\prime \prime \prime }+35 y^{\prime \prime }+6 y^{\prime }-9 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.082
874	24515	\begin{align*} 4 y^{\prime \prime \prime \prime }+20 y^{\prime \prime \prime }+35 y^{\prime \prime }+25 y^{\prime }+6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.082
875	25149	\begin{align*} y^{\prime \prime \prime }+2 y^{\prime \prime }+y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.082
876	303	\begin{align*} y^{\prime \prime \prime }+3 y^{\prime \prime }-54 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.083
877	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*}	✗	✓	✓	✗	0.083
878	15675	\begin{align*} 36 y^{\prime \prime \prime \prime }-12 y^{\prime \prime \prime }-11 y^{\prime \prime }+2 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.083
879	17545	\begin{align*} 3 y^{\prime \prime \prime }-4 y^{\prime \prime }-5 y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.083
880	21500	\begin{align*} y^{\prime \prime \prime }-4 y^{\prime \prime }+y^{\prime }+6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.083
881	21937	\begin{align*} y^{\prime \prime \prime }-7 y^{\prime \prime }+12 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.083
882	24492	\begin{align*} y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+5 y^{\prime \prime }+5 y^{\prime }-6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.083
883	24495	\begin{align*} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-3 y^{\prime \prime }+y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.083
884	26800	\begin{align*} y^{\left (5\right )}+13 y^{\prime \prime \prime \prime }+43 y^{\prime \prime \prime }+51 y^{\prime \prime }+40 y^{\prime }+12 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.083
885	27604	\begin{align*} y^{2} \left (y^{\prime } y^{\prime \prime \prime }-2 y^{\prime \prime }\right )&=y {y^{\prime }}^{2} y^{\prime \prime }+2 {y^{\prime }}^{4} \\ \end{align*}	✗	✗	✗	✓	0.083
886	7060	\begin{align*} y^{\prime \prime \prime \prime }-8 y^{\prime \prime }+36 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.084
887	8917	\begin{align*} y^{\prime \prime \prime }-5 y^{\prime \prime }+6 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.084
888	12708	\begin{align*} y^{\prime \prime \prime }-\lambda y&=0 \\ \end{align*}	✓	✓	✓	✓	0.084
889	21501	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.084
890	21570	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.084
891	24428	\begin{align*} 6 y^{\prime \prime \prime \prime }+23 y^{\prime \prime \prime }+28 y^{\prime \prime }+13 y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.084
892	24457	\begin{align*} y^{\prime \prime \prime \prime }-5 y^{\prime \prime }-6 y^{\prime }-2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.084
893	25151	\begin{align*} y^{\prime \prime \prime }-2 y^{\prime \prime }-25 y^{\prime }+50 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.084
894	25152	\begin{align*} y^{\prime \prime \prime }+2 y^{\prime \prime }+25 y^{\prime }+50 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.084
895	26457	\begin{align*} x y^{\prime \prime \prime }+y^{\prime \prime }-x -1&=0 \\ \end{align*}	✓	✓	✓	✓	0.084
896	2716	\begin{align*} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+y^{\prime \prime }+2 y^{\prime }-2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.085
897	15680	\begin{align*} y^{\prime \prime \prime }+\left (-3-4 i\right ) y^{\prime \prime }+\left (-4+12 i\right ) y^{\prime }+12 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.085
898	17544	\begin{align*} y^{\prime \prime \prime }-2 y^{\prime \prime }-y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.085
899	17546	\begin{align*} 6 y^{\prime \prime \prime }-5 y^{\prime \prime }-2 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.085
900	17547	\begin{align*} y^{\prime \prime \prime }-5 y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.085