2.3.8 Problems 701 to 800

Table 2.547: Main lookup table. Sorted by time used to solve.

#	ID	ODE	Solved?	Maple	Mma	Sympy	time(sec)
701	24504	\begin{align*} 8 y^{\prime \prime \prime }-4 y^{\prime \prime }-2 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.053
702	24509	\begin{align*} -4 y+3 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.053
703	25146	\begin{align*} y^{\prime \prime \prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.053
704	287	\begin{align*} 6 y^{\prime \prime \prime \prime }+11 y^{\prime \prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.054
705	3098	\begin{align*} y^{\prime \prime \prime }-8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.054
706	4444	\begin{align*} y^{\prime \prime \prime }+y^{\prime \prime }+9 y^{\prime }+9 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.054
707	6782	\begin{align*} 2 y^{\prime }-2 y^{\prime \prime }-y^{\prime \prime \prime }+y^{\left (5\right )}&=0 \\ \end{align*}	✓	✓	✓	✓	0.054
708	8918	\begin{align*} y^{\prime \prime \prime }-i y^{\prime \prime }+4 y^{\prime }-4 i y&=0 \\ \end{align*}	✓	✓	✓	✓	0.054
709	13137	\begin{align*} \left (x-y\right ) \left (x-z\right ) x^{\prime }&=f \left (t \right ) \\ \left (-x+y\right ) \left (y-z\right ) y^{\prime }&=f \left (t \right ) \\ \left (z-x\right ) \left (z-y\right ) z^{\prime }&=f \left (t \right ) \\ \end{align*}	✗	✓	✓	✗	0.054
710	16530	\begin{align*} y^{\prime \prime \prime \prime }-18 y^{\prime \prime }+81 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.054
711	16532	\begin{align*} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.054
712	21253	\begin{align*} x^{\prime }&=x \left (3-y\right ) \\ y^{\prime }&=y \left (x-5\right ) \\ \end{align*}	✗	✓	✓	✗	0.054
713	24424	\begin{align*} y^{\prime \prime \prime }-5 y^{\prime }-2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.054
714	24445	\begin{align*} y^{\prime \prime \prime }+3 y^{\prime \prime }-4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.054
715	24508	\begin{align*} y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.054
716	24517	\begin{align*} y^{\prime \prime \prime }+5 y^{\prime \prime }+7 y^{\prime }+3 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.054
717	25147	\begin{align*} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.054
718	25148	\begin{align*} y^{\prime \prime \prime \prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.054
719	1481	\begin{align*} y^{\prime \prime \prime }+5 y^{\prime \prime }+6 y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.055
720	2112	\begin{align*} y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.055
721	2116	\begin{align*} y^{\prime \prime \prime }-y^{\prime \prime }+16 y^{\prime }-16 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.055
722	6679	\begin{align*} 2 y^{\prime \prime } x +x^{2} y^{\prime \prime \prime }&=a \\ \end{align*}	✓	✓	✓	✓	0.055
723	6741	\begin{align*} y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.055
724	6746	\begin{align*} y a^{2} b^{2}+\left (a^{2}+b^{2}\right ) y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.055
725	6780	\begin{align*} -b^{4} x^{\frac {2}{a}} y+16 \left (-2 a +1\right ) \left (-a +1\right ) a^{2} x^{2} y^{\prime \prime }-32 \left (-2 a +1\right ) a^{2} x^{3} y^{\prime \prime \prime }+16 a^{4} x^{4} y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✗	✓	✓	✗	0.055
726	6783	\begin{align*} y^{\prime }+2 y^{\prime \prime \prime }+y^{\left (5\right )}&=0 \\ \end{align*}	✓	✓	✓	✓	0.055
727	7046	\begin{align*} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-4 y^{\prime \prime }+4 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.055
728	15419	\begin{align*} y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.055
729	15421	\begin{align*} -a^{3} y+3 a^{2} y^{\prime }-3 a y^{\prime \prime }+y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.055
730	15738	\begin{align*} y_{1}^{\prime }&={\mathrm e}^{-x} y_{1}-\sqrt {x +1}\, y_{2}+x^{2} \\ y_{2}^{\prime }&=\frac {y_{1}}{\left (x -2\right )^{2}} \\ \end{align*} With initial conditions \begin{align*} y_{1} \left (0\right ) &= 0 \\ y_{2} \left (0\right ) &= 1 \\ \end{align*}	✗	✗	✗	✗	0.055
731	17542	\begin{align*} 8 y^{\prime \prime \prime }+y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.055
732	20333	\begin{align*} y^{\prime \prime \prime }+y^{\prime \prime }-5 y^{\prime }+3 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.055
733	21316	\begin{align*} x^{\prime }&=-x+y+y^{2} \\ y^{\prime }&=-2 y-x^{2} \\ \end{align*}	✗	✗	✗	✗	0.055
734	22124	\begin{align*} y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.055
735	23432	\begin{align*} y^{\prime \prime \prime }-4 y^{\prime \prime }+5 y^{\prime }-2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.055
736	24446	\begin{align*} 4 y^{\prime \prime \prime }-27 y^{\prime }+27 y&=0 \\ \end{align*}	✓	✓	✓	✗	0.055
737	24493	\begin{align*} 4 y^{\prime \prime \prime }+8 y^{\prime \prime }-11 y^{\prime }+3 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.055
738	24526	\begin{align*} y^{\prime \prime \prime }+4 y^{\prime \prime }&=12 \\ \end{align*}	✓	✓	✓	✓	0.055
739	25150	\begin{align*} y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.055
740	25394	\begin{align*} y_{1}^{\prime }&=\frac {4 t y_{1}}{t^{2}+1}+\frac {6 y_{2} t}{t^{2}+1}-3 t \\ y_{2}^{\prime }&=-\frac {2 t y_{1}}{t^{2}+1}-\frac {4 y_{2} t}{t^{2}+1}+t \\ \end{align*} With initial conditions \begin{align*} y_{1} \left (1\right ) &= 1 \\ y_{2} \left (1\right ) &= -1 \\ \end{align*}	✗	✓	✓	✓	0.055
741	25536	\begin{align*} y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.055
742	942	\begin{align*} 6 y^{\prime \prime \prime \prime }+11 y^{\prime \prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.056
743	1059	\begin{align*} x^{3} y^{\prime }&=2 y \\ \end{align*} Series expansion around \(x=0\).	✗	✗	✓	✗	0.056
744	1474	\begin{align*} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+4 y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.056
745	2113	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }+7 y^{\prime }-5 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.056
746	2124	\begin{align*} 16 y^{\prime \prime \prime \prime }-72 y^{\prime \prime }+81 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.056
747	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*}	✓	✓	✓	✓	0.056
748	2791	\begin{align*} x^{\prime }&=-x-x \,y^{2} \\ y^{\prime }&=-y-y \,x^{2} \\ z^{\prime }&=1-z+x^{2} \\ \end{align*}	✗	✓	✓	✗	0.056
749	3078	\begin{align*} y^{\prime \prime \prime }-4 y^{\prime \prime }+3 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.056
750	3097	\begin{align*} y^{\prime \prime \prime \prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.056
751	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*}	✗	✗	✗	✗	0.056
752	7611	\begin{align*} z^{\prime \prime \prime }+2 z^{\prime \prime }-4 z^{\prime }-8 z&=0 \\ \end{align*}	✓	✓	✓	✓	0.056
753	7612	\begin{align*} y^{\prime \prime \prime }-7 y^{\prime \prime }+7 y^{\prime }+15 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.056
754	9292	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }-2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.056
755	9304	\begin{align*} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-3 y^{\prime \prime }-5 y^{\prime }-2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.056
756	10056	\begin{align*} a y y^{\prime \prime }+b y&=0 \\ \end{align*}	✓	✓	✓	✓	0.056
757	13098	\begin{align*} \operatorname {a11} x^{\prime \prime }+\operatorname {b11} x^{\prime }+\operatorname {c11} x+\operatorname {a12} y^{\prime \prime }+\operatorname {b12} y^{\prime }+\operatorname {c12} y&=0 \\ \operatorname {a21} x^{\prime \prime }+\operatorname {b21} x^{\prime }+\operatorname {c21} x+\operatorname {a22} y^{\prime \prime }+\operatorname {b22} y^{\prime }+\operatorname {c22} y&=0 \\ \end{align*}	✗	✓	✓	✗	0.056
758	15426	\begin{align*} y^{\prime \prime \prime \prime }-a^{4} y&=0 \\ \end{align*}	✓	✓	✓	✓	0.056
759	16550	\begin{align*} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+16 y^{\prime }-16 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.056
760	17551	\begin{align*} y^{\prime \prime \prime \prime }-16 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.056
761	19170	\begin{align*} -y+y^{\prime } x -y^{\prime \prime }+x y^{\prime \prime \prime }&=0 \\ \end{align*}	✗	✓	✓	✗	0.056
762	20699	\begin{align*} y^{\prime \prime \prime }-8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.056
763	21783	\begin{align*} x^{\prime }&=-x^{3}-y \\ y^{\prime }&=x \\ \end{align*}	✗	✗	✗	✗	0.056
764	22117	\begin{align*} y^{\left (5\right )}-y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+2 y^{\prime \prime }+y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.056
765	22498	\begin{align*} 2 y^{\prime \prime } x +x^{2} y^{\prime \prime \prime }&=1 \\ \end{align*}	✓	✓	✓	✓	0.056
766	22647	\begin{align*} 4 y^{\prime \prime \prime \prime }-20 y^{\prime \prime }+25 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.056
767	23312	\begin{align*} 2 y^{\prime \prime \prime }-2 y^{\prime \prime }-y^{\prime }+3 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.056
768	24494	\begin{align*} y^{\prime \prime \prime }+y^{\prime \prime }-16 y^{\prime }-16 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.056
769	24505	\begin{align*} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-4 y^{\prime \prime }-4 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.056
770	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*}	✓	✓	✓	✓	0.056
771	24525	\begin{align*} y^{\prime \prime \prime }+4 y^{\prime \prime }&=12 \\ \end{align*}	✓	✓	✓	✓	0.056
772	954	\begin{align*} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-3 y^{\prime \prime }-5 y^{\prime }-2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.057
773	2114	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.057
774	2120	\begin{align*} 27 y^{\prime \prime \prime }+27 y^{\prime \prime }+9 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.057
775	2143	\begin{align*} y^{\prime \prime \prime \prime }+64 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.057
776	2145	\begin{align*} y^{\prime \prime \prime \prime }+64 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.057
777	4443	\begin{align*} y^{\prime \prime \prime }-2 y^{\prime \prime }+y^{\prime }-2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.057
778	6612	\begin{align*} 4 y-2 y^{\prime }+y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.057
779	7058	\begin{align*} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-11 y^{\prime \prime }-12 y^{\prime }+36 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.057
780	7610	\begin{align*} y^{\prime \prime \prime }-6 y^{\prime \prime }-y^{\prime }+6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.057
781	7668	\begin{align*} x^{\prime \prime \prime \prime }+x&=0 \\ \end{align*}	✓	✓	✓	✓	0.057
782	12708	\begin{align*} y^{\prime \prime \prime }-\lambda y&=0 \\ \end{align*}	✓	✓	✓	✓	0.057
783	13097	\begin{align*} x^{\prime \prime }+a \left (x^{\prime }-y^{\prime }\right )+b_{1} x&=c_{1} {\mathrm e}^{i \omega t} \\ y^{\prime \prime }+a \left (y^{\prime }-x^{\prime }\right )+b_{2} y&=c_{2} {\mathrm e}^{i \omega t} \\ \end{align*}	✗	✓	✓	✗	0.057
784	13132	\begin{align*} x^{\prime }+y^{\prime }&=x y \\ y^{\prime }+z^{\prime }&=y z \\ x^{\prime }+z^{\prime }&=x z \\ \end{align*}	✗	✓	✗	✗	0.057
785	14596	\begin{align*} y^{\prime \prime \prime \prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.057
786	18132	\begin{align*} y^{\left (6\right )}+2 y^{\left (5\right )}+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.057
787	20341	\begin{align*} y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.057
788	21175	\begin{align*} 2 x^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.057
789	21250	\begin{align*} x^{\prime }&=2 x-7 x y-a x \\ y^{\prime }&=-y+4 x y-a y \\ \end{align*}	✗	✓	✗	✗	0.057
790	22665	\begin{align*} y^{\prime \prime \prime \prime }+4 y^{\prime \prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.057
791	22672	\begin{align*} s^{\prime \prime \prime \prime }+2 s^{\prime \prime }-8 s&=0 \\ \end{align*}	✓	✓	✓	✓	0.057
792	23341	\begin{align*} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-3 y^{\prime \prime }-y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.057
793	24421	\begin{align*} x^{\prime \prime \prime }-7 x^{\prime }+6 x&=0 \\ \end{align*}	✓	✓	✓	✓	0.057
794	24425	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }-3 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.057
795	24449	\begin{align*} y^{\left (5\right )}-y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.057
796	24529	\begin{align*} y^{\prime \prime \prime }+9 y^{\prime \prime }&=11 \\ \end{align*}	✓	✓	✓	✓	0.057
797	25395	\begin{align*} y_{1}^{\prime }&=3 \sec \left (t \right ) y_{1}+5 \sec \left (t \right ) y_{2} \\ y_{2}^{\prime }&=-\sec \left (t \right ) y_{1}-3 \sec \left (t \right ) y_{2} \\ \end{align*} With initial conditions \begin{align*} y_{1} \left (0\right ) &= 2 \\ y_{2} \left (0\right ) &= 1 \\ \end{align*}	✗	✓	✗	✓	0.057
798	25538	\begin{align*} y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.057
799	4453	\begin{align*} y^{\left (5\right )}-6 y^{\prime \prime \prime \prime }+9 y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.058
800	7669	\begin{align*} x^{\prime \prime \prime }-3 x^{\prime \prime }-9 x^{\prime }-5 x&=0 \\ \end{align*}	✓	✓	✓	✓	0.058