2.3.9 Problems 801 to 900

Table 2.567: Main lookup table. Sorted by time used to solve.

#	ID	ODE	Solved?	Maple	Mma	Sympy	time(sec)
801	6642	\begin{align*} y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }-3 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.081
802	6645	\begin{align*} y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.081
803	6651	\begin{align*} y^{\prime \prime \prime }-4 y^{\prime \prime }+5 y^{\prime }-2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.081
804	6654	\begin{align*} y^{\prime \prime \prime }-6 y^{\prime \prime }+9 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.081
805	9291	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.081
806	16534	\begin{align*} y^{\prime \prime \prime }-8 y^{\prime \prime }+37 y^{\prime }-50 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.081
807	17746	\begin{align*} 9 y^{\prime \prime \prime }+36 y^{\prime \prime }+40 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.081
808	18970	\begin{align*} \left (x -4\right ) y^{\prime \prime \prime \prime }+\left (x +1\right ) y^{\prime \prime }+\tan \left (x \right ) y&=0 \\ \end{align*}	✗	✗	✗	✗	0.081
809	18981	\begin{align*} y^{\prime \prime \prime \prime }+y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.081
810	20155	\begin{align*} y^{\prime \prime \prime \prime }-a^{2} y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.081
811	22085	\begin{align*} y^{\prime \prime \prime \prime }+x^{2} y^{\prime \prime \prime }+y^{\prime \prime } x -{\mathrm e}^{x} y^{\prime }+2 y&=x^{2}+x +1 \\ \end{align*}	✗	✗	✗	✗	0.081
812	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*}	✓	✓	✓	✓	0.082
813	2716	\begin{align*} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+y^{\prime \prime }+2 y^{\prime }-2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.082
814	3067	\begin{align*} 2 y^{\prime \prime \prime }-y^{\prime \prime }-2 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.082
815	3105	\begin{align*} 2 y^{\prime \prime \prime }-3 y^{\prime \prime }+10 y^{\prime }-15 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.082
816	3106	\begin{align*} 2 y^{\prime \prime \prime }-3 y^{\prime \prime }+11 y^{\prime }-40 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.082
817	6641	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.082
818	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*}	✗	✓	✗	✗	0.082
819	14592	\begin{align*} y^{\left (5\right )}-2 y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.082
820	15398	\begin{align*} 2 y-y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.082
821	19535	\begin{align*} y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.082
822	21779	\begin{align*} x^{\prime }&=x+4 y-y^{2} \\ y^{\prime }&=6 x-y+2 x y \\ \end{align*}	✗	✗	✗	✗	0.082
823	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 \(x=0\).	✗	✓	✓	✗	0.082
824	22116	\begin{align*} y^{\prime \prime \prime \prime }+8 y^{\prime \prime \prime }+24 y^{\prime \prime }+32 y^{\prime }+16 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.082
825	23341	\begin{align*} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-3 y^{\prime \prime }-y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.082
826	23943	\begin{align*} y^{\prime \prime \prime \prime }-4 y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.082
827	425	\begin{align*} y^{\prime \prime \prime }&=y \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 1 \\ y^{\prime \prime }\left (0\right ) &= -1 \\ \end{align*}	✓	✓	✓	✓	0.083
828	2131	\begin{align*} y^{\prime \prime \prime }-2 y^{\prime }-4 y&=0 \\ y \left (0\right ) &= 6 \\ y^{\prime }\left (0\right ) &= 3 \\ y^{\prime \prime }\left (0\right ) &= 22 \\ \end{align*}	✓	✓	✓	✓	0.083
829	6658	\begin{align*} y^{\prime \prime \prime }&=a y^{\prime \prime } \\ \end{align*}	✓	✓	✓	✓	0.083
830	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
831	14864	\begin{align*} x^{\prime }&=y+\frac {x \left (1-x^{2}-y^{2}\right )}{\sqrt {x^{2}+y^{2}}} \\ y^{\prime }&=-x+\frac {y \left (1-x^{2}-y^{2}\right )}{\sqrt {x^{2}+y^{2}}} \\ \end{align*}	✗	✗	✗	✗	0.083
832	15425	\begin{align*} y^{\prime \prime \prime \prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.083
833	17747	\begin{align*} 9 y^{\prime \prime \prime }+12 y^{\prime \prime }+13 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.083
834	19581	\begin{align*} x^{2} y^{\prime }&=y \\ \end{align*} Series expansion around \(x=0\).	✗	✗	✓	✗	0.083
835	19829	\begin{align*} y^{\prime \prime \prime }+3 y^{\prime \prime }+y^{\prime }-5 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.083
836	20041	\begin{align*} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-9 y^{\prime \prime }-11 y^{\prime }-4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.083
837	20138	\begin{align*} a^{2} y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.083
838	460	\begin{align*} 3 x^{3} y^{\prime \prime }+2 x^{2} y^{\prime }+\left (-x^{2}+1\right ) y&=0 \\ \end{align*} Series expansion around \(x=0\).	✗	✗	✓	✗	0.084
839	3108	\begin{align*} 4 y^{\prime \prime \prime }+12 y^{\prime \prime }-3 y^{\prime }+14 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.084
840	3702	\begin{align*} y^{\prime \prime \prime }-y^{\prime \prime }-2 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.084
841	3703	\begin{align*} y^{\prime \prime \prime }+y^{\prime \prime }-10 y^{\prime }+8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.084
842	6612	\begin{align*} 4 y-2 y^{\prime }+y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.084
843	6623	\begin{align*} y^{\prime }-y^{\prime \prime }+y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.084
844	6631	\begin{align*} y^{\prime \prime \prime }+2 y^{\prime \prime }+y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.084
845	7271	\begin{align*} y^{\prime \prime \prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.084
846	21784	\begin{align*} x^{\prime }&=2 x y \\ y^{\prime }&=3 y^{2}-x^{2} \\ \end{align*}	✗	✓	✓	✗	0.084
847	22498	\begin{align*} 2 y^{\prime \prime } x +x^{2} y^{\prime \prime \prime }&=1 \\ \end{align*}	✓	✓	✓	✓	0.084
848	22649	\begin{align*} y^{\prime \prime \prime }-y^{\prime \prime }&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 0 \\ y^{\prime \prime }\left (0\right ) &= 0 \\ \end{align*}	✓	✓	✓	✓	0.084
849	23432	\begin{align*} y^{\prime \prime \prime }-4 y^{\prime \prime }+5 y^{\prime }-2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.084
850	3077	\begin{align*} 12 y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }-3 y^{\prime \prime }+y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.085
851	3085	\begin{align*} -4 y+3 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.085
852	3794	\begin{align*} y^{\prime \prime \prime }+3 y^{\prime \prime }-4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.085
853	6588	\begin{align*} 2 \left (x -y^{\prime }\right ) y^{\prime }-x \left (x +4 y^{\prime }\right ) y^{\prime \prime }+2 \left (x^{2}+1\right ) {y^{\prime \prime }}^{2}&=2 y \\ \end{align*}	✗	✗	✗	✗	0.085
854	6757	\begin{align*} y-4 y^{\prime }+6 y^{\prime \prime }-4 y^{\prime \prime \prime }+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.085
855	8919	\begin{align*} y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.085
856	14089	\begin{align*} y^{\prime \prime \prime }-y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.085
857	14594	\begin{align*} y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }-2 y^{\prime \prime }+2 y^{\prime }+12 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.085
858	16536	\begin{align*} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }+2 y^{\prime \prime }+4 y^{\prime }-8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.085
859	17544	\begin{align*} y^{\prime \prime \prime }-2 y^{\prime \prime }-y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.085
860	19537	\begin{align*} a^{4} y+2 a^{2} y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.085
861	21782	\begin{align*} x^{\prime }&=-x^{2}-y \\ y^{\prime }&=x \\ \end{align*}	✗	✓	✓	✗	0.085
862	21786	\begin{align*} x^{\prime }&=-x+y^{2} \\ y^{\prime }&=x^{2}-y \\ \end{align*}	✗	✓	✗	✗	0.085
863	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*}	✓	✓	✓	✓	0.085
864	25252	\begin{align*} t^{2} y^{\prime \prime }+2 y^{\prime } t&=0 \\ \end{align*}	✓	✓	✓	✓	0.085
865	25916	\begin{align*} y^{\prime \prime \prime \prime }-13 y^{\prime \prime }+36 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.085
866	3070	\begin{align*} y^{\prime \prime \prime \prime }-6 y^{\prime \prime }+8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.086
867	3075	\begin{align*} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-7 y^{\prime \prime }-y^{\prime }+6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.086
868	3081	\begin{align*} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-7 y^{\prime \prime }-8 y^{\prime }+12 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.086
869	3699	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }-y^{\prime }+3 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.086
870	3701	\begin{align*} y^{\prime \prime \prime }+3 y^{\prime \prime }-18 y^{\prime }-40 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.086
871	6628	\begin{align*} 4 y+4 y^{\prime }+y^{\prime \prime }+y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.086
872	6630	\begin{align*} -15 y-7 y^{\prime }+y^{\prime \prime }+y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.086
873	8929	\begin{align*} y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.086
874	12826	\begin{align*} y^{\left (5\right )}+a \,x^{\nu } y^{\prime }+a \nu \,x^{\nu -1} y&=0 \\ \end{align*}	✗	✗	✓	✗	0.086
875	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
876	13114	\begin{align*} x_{1}^{\prime }&=a x_{2}+b x_{3} \cos \left (c t \right )+b x_{4} \sin \left (c t \right ) \\ x_{2}^{\prime }&=-a x_{1}+b x_{3} \sin \left (c t \right )-b x_{4} \cos \left (c t \right ) \\ x_{3}^{\prime }&=-b x_{1} \cos \left (c t \right )-b x_{2} \sin \left (c t \right )+a x_{4} \\ x_{4}^{\prime }&=-b x_{1} \sin \left (c t \right )+b x_{2} \cos \left (c t \right )-a x_{3} \\ \end{align*}	✗	✓	✓	✗	0.086
877	14347	\begin{align*} x^{\prime \prime \prime }-x^{\prime }-8 x&=0 \\ \end{align*}	✓	✓	✓	✓	0.086
878	14617	\begin{align*} y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }+y^{\prime \prime }+13 y^{\prime }+30 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.086
879	15419	\begin{align*} y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.086
880	17550	\begin{align*} y^{\prime \prime \prime \prime }-9 y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.086
881	20336	\begin{align*} y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.086
882	20339	\begin{align*} 2 y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.086
883	21781	\begin{align*} x^{\prime }&=8 x-y^{2} \\ y^{\prime }&=6 x^{2}-6 y \\ \end{align*}	✗	✗	✗	✗	0.086
884	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*}	✓	✓	✓	✓	0.086
885	22178	\begin{align*} x^{3} y^{\prime \prime }+y&=0 \\ \end{align*} Series expansion around \(x=0\).	✗	✗	✓	✗	0.086
886	22663	\begin{align*} y^{\left (6\right )}-64 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.086
887	23227	\begin{align*} y^{\left (5\right )}-y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.086
888	25919	\begin{align*} y^{\prime \prime \prime \prime }-10 y^{\prime \prime \prime }+24 y^{\prime \prime }+10 y^{\prime }-25 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.086
889	26523	\begin{align*} y^{\prime \prime \prime }+y^{\prime \prime }&=3 \\ \end{align*}	✓	✓	✓	✓	0.086
890	266	\begin{align*} x^{2} y^{\prime \prime }-x \left (2+x \right ) y^{\prime }+\left (2+x \right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.087
891	312	\begin{align*} y^{\prime \prime \prime }&=y \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 0 \\ y^{\prime \prime }\left (0\right ) &= 0 \\ \end{align*}	✓	✓	✓	✓	0.087
892	3076	\begin{align*} 2 y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }-20 y^{\prime \prime }+27 y^{\prime }+18 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.087
893	6639	\begin{align*} 2 a^{2} y-a^{2} y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.087
894	6653	\begin{align*} -4 y+6 y^{\prime }-4 y^{\prime \prime }+y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.087
895	6740	\begin{align*} -4 y+3 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.087
896	6743	\begin{align*} a^{2} y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.087
897	8922	\begin{align*} y^{\prime \prime \prime }-3 i y^{\prime \prime }-3 y^{\prime }+i y&=0 \\ \end{align*}	✓	✓	✓	✓	0.087
898	8931	\begin{align*} y^{\prime \prime \prime }-i y^{\prime \prime }+y^{\prime }-i y&=0 \\ \end{align*}	✓	✓	✓	✓	0.087
899	12787	\begin{align*} y^{\prime \prime \prime \prime }+\left (1+\lambda \right ) a^{2} y^{\prime \prime }+\lambda \,a^{4} y&=0 \\ \end{align*}	✓	✓	✓	✓	0.087
900	17542	\begin{align*} 8 y^{\prime \prime \prime }+y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.087