2.3.7 Problems 601 to 700

Table 2.545: Main lookup table. Sorted by time used to solve.

#	ID	ODE	Solved?	Maple	Mma	Sympy	time(sec)
601	22675	\begin{align*} y^{\prime \prime \prime }-4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.049
602	23227	\begin{align*} y^{\left (5\right )}-y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.049
603	24415	\begin{align*} y^{\prime \prime \prime }+2 y^{\prime \prime }-8 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.049
604	304	\begin{align*} 3 y^{\prime \prime \prime }-2 y^{\prime \prime }+12 y^{\prime }-8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.050
605	306	\begin{align*} 9 y^{\prime \prime \prime }+11 y^{\prime \prime }+4 y^{\prime }-14 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.050
606	941	\begin{align*} y^{\prime \prime \prime \prime }+18 y^{\prime \prime }+81 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.050
607	2119	\begin{align*} 4 y^{\prime \prime \prime }-8 y^{\prime \prime }+5 y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.050
608	2710	\begin{align*} y^{\prime \prime \prime }-6 y^{\prime \prime }+5 y^{\prime }+12 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.050
609	2813	\begin{align*} x^{\prime }&=x-x^{3}-x y \\ y^{\prime }&=2 y-y^{5}-y \,x^{4} \\ \end{align*}	✗	✗	✗	✗	0.050
610	2818	\begin{align*} x^{\prime }&={\mathrm e}^{y}-x \\ y^{\prime }&={\mathrm e}^{x}+y \\ \end{align*}	✗	✓	✓	✗	0.050
611	3891	\begin{align*} x_{1}^{\prime }&=t \cot \left (t^{2}\right ) x_{1}+\frac {t \cos \left (t^{2}\right ) x_{3}}{2} \\ x_{2}^{\prime }&=\frac {x_{2}}{t}-x_{3}+2-t \sin \left (t \right ) \\ x_{3}^{\prime }&=\csc \left (t^{2}\right ) x_{1}+x_{2}-x_{3}+1-t \cos \left (t \right ) \\ \end{align*}	✗	✗	✗	✗	0.050
612	4148	\begin{align*} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-9 y^{\prime \prime }-11 y^{\prime }-4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.050
613	4445	\begin{align*} y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.050
614	6607	\begin{align*} a y+y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.050
615	6619	\begin{align*} y^{\prime \prime \prime }&=a^{2} y \\ \end{align*}	✓	✓	✓	✓	0.050
616	6739	\begin{align*} -8 y-2 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.050
617	12794	\begin{align*} x y^{\prime \prime \prime \prime }-\left (6 x^{2}+1\right ) y^{\prime \prime \prime }+12 x^{3} y^{\prime \prime }-\left (9 x^{2}-7\right ) x^{2} y^{\prime }+2 \left (x^{2}-3\right ) x^{3} y&=0 \\ \end{align*}	✗	✓	✓	✗	0.050
618	12826	\begin{align*} y^{\left (5\right )}+a \,x^{\nu } y^{\prime }+a \nu \,x^{\nu -1} y&=0 \\ \end{align*}	✗	✗	✓	✗	0.050
619	14564	\begin{align*} y^{\prime \prime \prime }-6 y^{\prime \prime }+5 y^{\prime }+12 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.050
620	14579	\begin{align*} y^{\prime \prime \prime }-6 y^{\prime \prime }+5 y^{\prime }+12 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.050
621	14586	\begin{align*} y^{\prime \prime \prime }-5 y^{\prime \prime }+7 y^{\prime }-3 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.050
622	14870	\begin{align*} x^{\prime }&=x-x^{2} \\ y^{\prime }&=2 y-y^{2} \\ \end{align*}	✗	✓	✓	✗	0.050
623	15737	\begin{align*} y_{1}^{\prime }&=\sin \left (x \right ) y_{1}+\sqrt {x}\, y_{2}+\ln \left (x \right ) \\ y_{2}^{\prime }&=\tan \left (x \right ) y_{1}-{\mathrm e}^{x} y_{2}+1 \\ \end{align*} With initial conditions \begin{align*} y_{1} \left (2\right ) &= 1 \\ y_{2} \left (2\right ) &= -1 \\ \end{align*}	✗	✗	✗	✗	0.050
624	16527	\begin{align*} y^{\prime \prime \prime \prime }+4 y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.050
625	16529	\begin{align*} y^{\prime \prime \prime \prime }-81 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.050
626	18134	\begin{align*} y^{\prime \prime \prime }-8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.050
627	18977	\begin{align*} \left (x^{2}-25\right ) y^{\left (6\right )}+x^{2} y^{\prime \prime }+5 y&=0 \\ \end{align*}	✗	✗	✗	✗	0.050
628	20043	\begin{align*} y^{\prime \prime \prime \prime }-m^{2} y&=0 \\ \end{align*}	✓	✓	✓	✓	0.050
629	20108	\begin{align*} 16 \left (x +1\right )^{4} y^{\prime \prime \prime \prime }+96 \left (x +1\right )^{3} y^{\prime \prime \prime }+104 \left (x +1\right )^{2} y^{\prime \prime }+8 \left (x +1\right ) y^{\prime }+y&=x^{2}+4 x +3 \\ \end{align*}	✗	✓	✓	✗	0.050
630	20336	\begin{align*} y-2 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.050
631	21241	\begin{align*} x x^{\prime }+y&=2 t \\ y^{\prime }+2 x^{2}&=1 \\ \end{align*}	✗	✓	✓	✗	0.050
632	21249	\begin{align*} x^{\prime }&=x-x y \\ y^{\prime }&=-y+x y \\ \end{align*}	✗	✓	✓	✗	0.050
633	21317	\begin{align*} x^{\prime }&=-x^{3} \\ y^{\prime }&=-y^{3} \\ \end{align*}	✗	✓	✓	✓	0.050
634	22329	\begin{align*} y^{\prime \prime \prime }&=0 \\ y \left (0\right ) &= 1 \\ y \left (1\right ) &= 2 \\ y \left (2\right ) &= 9 \\ \end{align*}	✓	✓	✓	✓	0.050
635	22640	\begin{align*} y^{\prime \prime \prime \prime }-20 y^{\prime \prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.050
636	24416	\begin{align*} y^{\prime \prime \prime }-y^{\prime \prime }-4 y^{\prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.050
637	24420	\begin{align*} x^{\prime \prime \prime }-2 x^{\prime \prime }-3 x^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.050
638	286	\begin{align*} y^{\prime \prime \prime \prime }+18 y^{\prime \prime }+81 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.051
639	953	\begin{align*} y^{\prime \prime \prime }+3 y^{\prime \prime }+4 y^{\prime }-8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.051
640	6665	\begin{align*} 2 y \left (2 f \left (x \right ) g \left (x \right )+g^{\prime }\left (x \right )\right )+\left (4 g \left (x \right )+f^{\prime }\left (x \right )+2 {f^{\prime }\left (x \right )}^{2}\right ) y^{\prime }+3 f \left (x \right ) y^{\prime \prime }+y^{\prime \prime \prime }&=0 \\ \end{align*}	✗	✗	✗	✗	0.051
641	6733	\begin{align*} y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.051
642	7054	\begin{align*} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.051
643	12711	\begin{align*} y^{\prime \prime \prime }+3 y^{\prime }-4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.051
644	12775	\begin{align*} x^{2} \left (x^{4}+2 x^{2}+2 x +1\right ) y^{\prime \prime \prime }-\left (2 x^{6}+3 x^{4}-6 x^{2}-6 x -1\right ) y^{\prime \prime }+\left (x^{6}-6 x^{3}-15 x^{2}-12 x -2\right ) y^{\prime }+\left (x^{4}+4 x^{3}+8 x^{2}+6 x +1\right ) y&=0 \\ \end{align*}	✗	✓	✓	✗	0.051
645	14095	\begin{align*} y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.051
646	18141	\begin{align*} y^{\prime \prime \prime }-2 y^{\prime \prime }+2 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.051
647	20339	\begin{align*} 2 y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.051
648	21733	\begin{align*} y^{\prime }&=-\sqrt {1-y^{2}} \\ x^{\prime }&=x+2 y \\ \end{align*}	✗	✓	✓	✓	0.051
649	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*}	✓	✓	✓	✓	0.051
650	24417	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }-y^{\prime }+3 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.051
651	24423	\begin{align*} 4 y^{\prime \prime \prime }-13 y^{\prime }-6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.051
652	25149	\begin{align*} y^{\prime \prime \prime }+2 y^{\prime \prime }+y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.051
653	300	\begin{align*} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }+y^{\prime \prime }-3 y^{\prime }-6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.052
654	417	\begin{align*} x^{3} y^{\prime }&=2 y \\ \end{align*} Series expansion around \(x=0\).	✗	✗	✓	✗	0.052
655	1465	\begin{align*} y^{\prime \prime \prime }+2 y^{\prime \prime }-y^{\prime }-2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.052
656	2117	\begin{align*} 2 y^{\prime \prime \prime }+3 y^{\prime \prime }-2 y^{\prime }-3 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.052
657	2121	\begin{align*} y^{\prime \prime \prime \prime }+y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.052
658	2122	\begin{align*} y^{\prime \prime \prime \prime }-16 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.052
659	4448	\begin{align*} y^{\prime \prime \prime \prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.052
660	7334	\begin{align*} y^{\prime \prime \prime }+2 y^{\prime \prime }+2 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.052
661	12784	\begin{align*} y^{\prime \prime \prime \prime }+\lambda y&=0 \\ \end{align*}	✓	✓	✓	✓	0.052
662	14578	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }-y^{\prime }+3 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.052
663	14588	\begin{align*} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.052
664	15422	\begin{align*} y^{\left (5\right )}-4 y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.052
665	16528	\begin{align*} y^{\prime \prime \prime \prime }-34 y^{\prime \prime }+225 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.052
666	16544	\begin{align*} y^{\prime \prime \prime \prime }-3 y^{\prime \prime }-4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.052
667	16548	\begin{align*} 16 y^{\prime \prime \prime \prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.052
668	16549	\begin{align*} 4 y^{\prime \prime \prime \prime }+15 y^{\prime \prime }-4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.052
669	16715	\begin{align*} y^{\prime \prime \prime \prime }-8 y^{\prime \prime }+16 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.052
670	18130	\begin{align*} y^{\prime \prime \prime }+6 y^{\prime \prime }+11 y^{\prime }+6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.052
671	19175	\begin{align*} y^{\prime }+y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.052
672	20338	\begin{align*} y^{\prime \prime \prime }+3 y^{\prime \prime }+y^{\prime }-5 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.052
673	20991	\begin{align*} x^{\prime }&=x \cos \left (t \right )-\sin \left (t \right ) y \\ y^{\prime }&=x \sin \left (t \right )+y \cos \left (t \right ) \\ \end{align*}	✗	✓	✓	✓	0.052
674	21251	\begin{align*} x^{\prime }&=2 x-2 x y \\ y^{\prime }&=-y+x y \\ \end{align*}	✗	✓	✓	✗	0.052
675	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*}	✓	✓	✓	✓	0.052
676	22667	\begin{align*} y^{\prime \prime \prime \prime }+6 y^{\prime \prime }+25 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.052
677	23340	\begin{align*} y^{\prime \prime \prime }-7 y^{\prime \prime }+5 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.052
678	24418	\begin{align*} 4 y^{\prime \prime \prime }-13 y^{\prime }+6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.052
679	24419	\begin{align*} 4 y^{\prime \prime \prime }-49 y^{\prime }-60 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.052
680	24422	\begin{align*} 10 y^{\prime \prime \prime }+y^{\prime \prime }-7 y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.052
681	24441	\begin{align*} y^{\prime \prime \prime }-4 y^{\prime \prime }+4 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.052
682	24442	\begin{align*} 9 y^{\prime \prime \prime }+6 y^{\prime \prime }+y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.052
683	25390	\begin{align*} y_{1}^{\prime }&=\left (2 t +1\right ) y_{1}+2 y_{2} t \\ y_{2}^{\prime }&=-2 y_{1} t +\left (1-2 t \right ) y_{2} \\ \end{align*} With initial conditions \begin{align*} y_{1} \left (0\right ) &= 1 \\ y_{2} \left (0\right ) &= 0 \\ \end{align*}	✗	✓	✓	✓	0.052
684	305	\begin{align*} 6 y^{\prime \prime \prime \prime }+5 y^{\prime \prime \prime }+25 y^{\prime \prime }+20 y^{\prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.053
685	2141	\begin{align*} y^{\prime \prime \prime \prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.053
686	3511	\begin{align*} y^{\prime \prime }+\frac {y}{z^{3}}&=0 \\ \end{align*} Series expansion around \(z=0\).	✗	✗	✓	✗	0.053
687	4549	\begin{align*} x^{\prime }+4 x+2 y&=\frac {2}{{\mathrm e}^{t}-1} \\ 6 x-y^{\prime }+3 y&=\frac {3}{{\mathrm e}^{t}-1} \\ \end{align*}	✗	✓	✓	✓	0.053
688	6730	\begin{align*} a y+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.053
689	6732	\begin{align*} y+y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.053
690	7045	\begin{align*} y^{\prime \prime \prime }+y^{\prime \prime }-10 y^{\prime }-6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.053
691	7048	\begin{align*} y^{\prime \prime \prime \prime }-a^{2} y&=0 \\ \end{align*}	✓	✓	✓	✓	0.053
692	7059	\begin{align*} 36 y^{\prime \prime \prime \prime }-37 y^{\prime \prime }+4 y^{\prime }+5 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.053
693	7978	\begin{align*} y^{\prime \prime \prime }+y^{\prime \prime }-2 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.053
694	12769	\begin{align*} 2 \left (x -\operatorname {a1} \right ) \left (x -\operatorname {a2} \right ) \left (x -\operatorname {a3} \right ) y^{\prime \prime \prime }+\left (9 x^{2}-6 \left (\operatorname {a1} +\operatorname {a2} +\operatorname {a3} \right ) x +3 \operatorname {a1} \operatorname {a2} +3 \operatorname {a1} \operatorname {a3} +3 \operatorname {a2} \operatorname {a3} \right ) y^{\prime \prime }-2 \left (\left (n^{2}+n -3\right ) x +b \right ) y^{\prime }-n \left (n +1\right ) y&=0 \\ \end{align*}	✗	✓	✓	✗	0.053
695	13125	\begin{align*} {x^{\prime }}^{2}+t x^{\prime }+a y^{\prime }-x&=0 \\ x^{\prime } y^{\prime }+t y^{\prime }-y&=0 \\ \end{align*}	✗	✓	✓	✓	0.053
696	14587	\begin{align*} 4 y^{\prime \prime \prime }+4 y^{\prime \prime }-7 y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.053
697	14590	\begin{align*} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.053
698	15424	\begin{align*} y^{\prime \prime \prime \prime }-8 y^{\prime \prime }+16 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.053
699	22114	\begin{align*} y^{\prime \prime \prime }-6 y^{\prime \prime }+2 y^{\prime }+36 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.053
700	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*}	✓	✓	✓	✓	0.053