2.3.230 Problems 22901 to 23000

Table 2.991: Main lookup table. Sorted by time used to solve.

#	ID	ODE	Solved?	Maple	Mma	Sympy	time(sec)
22901	18855	\begin{align*} y^{\prime \prime }+\frac {y^{\prime }}{8}+4 y&=3 \cos \left (2 t \right ) \\ y \left (0\right ) &= 2 \\ y^{\prime }\left (0\right ) &= 0 \\ \end{align*}	✓	✓	✓	✓	26.602
22902	25522	\begin{align*} y^{\prime \prime }+9 y&={\mathrm e}^{i \omega t} \\ \end{align*}	✓	✓	✓	✓	26.602
22903	18874	\begin{align*} x^{2} y^{\prime \prime }+y^{\prime } x +\left (x^{2}-\frac {1}{4}\right ) y&=3 x^{{3}/{2}} \sin \left (x \right ) \\ \end{align*}	✓	✓	✓	✗	26.647
22904	11533	\begin{align*} x \left (4+y\right ) y^{\prime }-y^{2}-2 y-2 x&=0 \\ \end{align*}	✓	✓	✓	✓	26.679
22905	11778	\begin{align*} y^{2} {y^{\prime }}^{2}+2 a x y y^{\prime }+\left (-1+a \right ) b +a \,x^{2}+\left (1-a \right ) y^{2}&=0 \\ \end{align*}	✓	✓	✓	✗	26.683
22906	19067	\begin{align*} \sec \left (x \right )^{2} \tan \left (y\right )+\sec \left (y\right )^{2} \tan \left (x \right ) y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	26.684
22907	23887	\begin{align*} \frac {1-6 x^{2} y}{x}+\frac {\left (2+5 y-3 x^{2} y\right ) y^{\prime }}{y}&=0 \\ \end{align*}	✓	✓	✓	✗	26.686
22908	9321	\begin{align*} y^{\prime \prime }-y&={\mathrm e}^{3 x} \\ \end{align*}	✓	✓	✓	✓	26.712
22909	17920	\begin{align*} x +y-2+\left (x -y+4\right ) y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	26.729
22910	11803	\begin{align*} \left (x^{2}+y^{2}\right ) f \left (\frac {y}{\sqrt {x^{2}+y^{2}}}\right ) \left (1+{y^{\prime }}^{2}\right )-\left (-y+y^{\prime } x \right )^{2}&=0 \\ \end{align*}	✓	✓	✓	✗	26.751
22911	3130	\begin{align*} y^{\prime \prime }+2 n y^{\prime }+n^{2} y&=5 \cos \left (6 x \right ) \\ \end{align*}	✓	✓	✓	✓	26.770
22912	16746	\begin{align*} y^{\prime \prime }+6 y^{\prime }+9 y&=10 \,{\mathrm e}^{-3 x} \\ \end{align*}	✓	✓	✓	✓	26.771
22913	17309	\begin{align*} y \sin \left (\frac {t}{y}\right )-\left (t +t \sin \left (\frac {t}{y}\right )\right ) y^{\prime }&=0 \\ y \left (1\right ) &= 2 \\ \end{align*}	✓	✓	✓	✓	26.779
22914	18268	\begin{align*} y^{\prime \prime }+6 y^{\prime }+9 y&=10 \sin \left (x \right ) \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (0\right ) &= 0 \\ \end{align*}	✓	✓	✓	✓	26.786
22915	8044	\begin{align*} x^{2} y^{\prime \prime }-4 y^{\prime } x +\left (9 x^{2}+6\right ) y&=0 \\ \end{align*}	✓	✓	✓	✓	26.803
22916	12615	\begin{align*} y^{\prime \prime }&=-\frac {2 \left (a +x \right ) y^{\prime }}{x^{2}}-\frac {b y}{x^{4}} \\ \end{align*}	✓	✓	✓	✗	26.830
22917	24355	\begin{align*} x -3 y+2+3 \left (x +3 y-4\right ) y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	26.834
22918	24566	\begin{align*} x^{\prime \prime }+4 x^{\prime }+5 x&=8 \sin \left (t \right ) \\ x \left (0\right ) &= 4 \\ x^{\prime }\left (0\right ) &= 0 \\ \end{align*}	✓	✓	✓	✓	26.840
22919	21588	\begin{align*} y^{\prime \prime }-6 y^{\prime }+9 y&={\mathrm e}^{2 x} \left (x +1\right ) \\ \end{align*}	✓	✓	✓	✓	26.841
22920	22423	\begin{align*} y^{\prime }&=\frac {2 \sin \left (2 x \right )-\tan \left (y\right )}{x \sec \left (y\right )^{2}} \\ y \left (\pi \right ) &= \frac {\pi }{4} \\ \end{align*}	✓	✗	✓	✗	26.843
22921	25277	\begin{align*} y^{\prime \prime }-\tan \left (t \right ) y^{\prime }-\sec \left (t \right )^{2} y&=t \\ \end{align*}	✓	✓	✓	✗	26.860
22922	25519	\begin{align*} y^{\prime \prime }+4 y&=F \cos \left (\omega t \right ) \\ \end{align*}	✓	✓	✓	✓	26.869
22923	4807	\begin{align*} y^{\prime } x&=y+\sqrt {x^{2}-y^{2}} \\ \end{align*}	✓	✓	✓	✓	26.905
22924	25215	\begin{align*} t \left (t^{2}-4\right ) y^{\prime \prime }+y&={\mathrm e}^{t} \\ y \left (1\right ) &= y_{1} \\ y^{\prime }\left (1\right ) &= y_{1} \\ \end{align*}	✗	✗	✗	✗	26.911
22925	22768	\begin{align*} \left (2 x +3\right )^{2} y^{\prime \prime }+\left (2 x +3\right ) y^{\prime }-2 y&=24 x^{2} \\ \end{align*}	✓	✓	✓	✗	26.912
22926	2396	\begin{align*} \left (-t^{2}+1\right ) y^{\prime \prime }-2 y^{\prime } t +6 y&=0 \\ \end{align*}	✓	✓	✓	✗	26.915
22927	23490	\begin{align*} 4 y+y^{\prime \prime }&=4 x^{3}-8 x^{2}-14 x +7 \\ \end{align*}	✓	✓	✓	✓	26.916
22928	21277	\begin{align*} t^{2} x^{\prime \prime }+t x^{\prime }+\left (-m^{2}+t^{2}\right ) x&=0 \\ x \left (0\right ) &= 0 \\ \end{align*}	✗	✗	✓	✓	26.922
22929	18390	\begin{align*} x^{2} y^{\prime \prime }+y^{\prime } x +\left (x^{2}-\frac {1}{4}\right ) y&=0 \\ \end{align*}	✓	✓	✓	✓	26.925
22930	16442	\begin{align*} y^{\prime \prime }&=2 y^{\prime }-5 y+30 \,{\mathrm e}^{3 x} \\ \end{align*}	✓	✓	✓	✓	26.929
22931	23478	\begin{align*} y^{\prime \prime }-y&={\mathrm e}^{x}+\sin \left (x \right ) \\ \end{align*}	✓	✓	✓	✓	26.934
22932	10383	\begin{align*} y^{\prime \prime }+y^{\prime }+y&=1 \\ \end{align*}	✓	✓	✓	✓	26.970
22933	13751	\begin{align*} y^{\prime \prime } x +\left (a \,x^{3}+b \,x^{2}+c x +d \right ) y^{\prime }+\left (d -1\right ) \left (a \,x^{2}+b x +c \right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	26.981
22934	23528	\begin{align*} y-2 y^{\prime }+y^{\prime \prime }&=\frac {{\mathrm e}^{x}}{x} \\ \end{align*}	✓	✓	✓	✓	26.989
22935	15832	\begin{align*} \theta ^{\prime }&=\frac {9}{10}-\frac {11 \cos \left (\theta \right )}{10} \\ \end{align*}	✓	✓	✓	✓	26.991
22936	7568	\begin{align*} y^{\prime }&=\frac {\sqrt {x^{2}+y^{2}}-x}{y} \\ \end{align*}	✓	✓	✓	✓	26.995
22937	24676	\begin{align*} 4 y^{\prime \prime }+y&=x^{4} \\ \end{align*}	✓	✓	✓	✓	26.996
22938	23958	\begin{align*} x^{2} y+2 y^{3}-\left (2 x^{3}+3 x y^{2}\right ) y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✗	27.000
22939	17662	\begin{align*} 4 y+2 x \left (x^{2}+1\right ) y^{\prime }+\left (x^{2}+1\right )^{2} y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✗	27.023
22940	3655	\begin{align*} y^{\prime }&=\frac {x +\frac {y}{2}}{\frac {x}{2}-y} \\ y \left (1\right ) &= 1 \\ \end{align*}	✓	✓	✓	✓	27.024
22941	17666	\begin{align*} \left (x^{4}-1\right ) y^{\prime \prime }+\left (x^{3}-x \right ) y^{\prime }+\left (x^{2}-1\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	27.026
22942	23537	\begin{align*} y-2 y^{\prime }+y^{\prime \prime }&=\frac {{\mathrm e}^{2 x}}{\left ({\mathrm e}^{x}+1\right )^{2}} \\ \end{align*}	✓	✓	✓	✗	27.033
22943	3303	\begin{align*} 8 x +1&=y {y^{\prime }}^{2} \\ \end{align*}	✓	✓	✓	✓	27.035
22944	7087	\begin{align*} y+2 y^{\prime }+y^{\prime \prime }&=x^{2} {\mathrm e}^{-x} \\ \end{align*}	✓	✓	✓	✓	27.037
22945	13564	\begin{align*} y y^{\prime }&=a \sin \left (\lambda x \right ) y+1 \\ \end{align*}	✗	✗	✗	✗	27.040
22946	8003	\begin{align*} y^{\prime \prime }-y&=\frac {1}{\left (1+{\mathrm e}^{-x}\right )^{2}} \\ \end{align*}	✓	✓	✓	✓	27.057
22947	4415	\begin{align*} y^{\prime } x&=y+\sqrt {x^{2}-y^{2}} \\ \end{align*}	✓	✓	✓	✓	27.059
22948	8941	\begin{align*} 4 y+y^{\prime \prime }&=\sin \left (2 x \right ) \\ \end{align*}	✓	✓	✓	✓	27.066
22949	18836	\begin{align*} y^{\prime \prime }+3 y^{\prime }&=2 t^{4}+t^{2} {\mathrm e}^{-3 t}+\sin \left (3 t \right ) \\ \end{align*}	✓	✓	✓	✓	27.069
22950	19725	\begin{align*} y^{\prime }+\frac {y}{x}&=\frac {\sin \left (x \right )}{y^{3}} \\ \end{align*}	✓	✓	✓	✓	27.090
22951	2889	\begin{align*} \left (3 y x -2 x^{2}\right ) y^{\prime }&=2 y^{2}-y x \\ y \left (1\right ) &= -1 \\ \end{align*}	✓	✓	✓	✓	27.092
22952	11630	\begin{align*} \left (x +\sqrt {x^{2}+y^{2}}\right ) y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	27.094
22953	24719	\begin{align*} y+2 y^{\prime }+y^{\prime \prime }&=2+x \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 0 \\ \end{align*}	✓	✓	✓	✓	27.124
22954	12444	\begin{align*} x^{2} y^{\prime \prime }-2 y^{\prime } x +\left (x^{2}+2\right ) y-\frac {x^{3}}{\cos \left (x \right )}&=0 \\ \end{align*}	✓	✓	✓	✗	27.137
22955	10388	\begin{align*} y^{\prime \prime }+y^{\prime }+y&=\sin \left (x \right ) \\ \end{align*}	✓	✓	✓	✓	27.143
22956	24179	\begin{align*} y \left (x^{2}+y^{2}\right )+x \left (3 x^{2}-5 y^{2}\right ) y^{\prime }&=0 \\ y \left (2\right ) &= 1 \\ \end{align*}	✓	✓	✓	✓	27.158
22957	7075	\begin{align*} y^{\prime \prime }+3 y^{\prime }+2 y&=12 \,{\mathrm e}^{x} \\ \end{align*}	✓	✓	✓	✓	27.161
22958	16073	\begin{align*} y^{\prime \prime }+4 y^{\prime }+13 y&={\mathrm e}^{-t} \\ \end{align*}	✓	✓	✓	✓	27.164
22959	16622	\begin{align*} y^{\prime \prime }+9 y&=54 x^{2} {\mathrm e}^{3 x} \\ \end{align*}	✓	✓	✓	✓	27.169
22960	24675	\begin{align*} 4 y^{\prime \prime }+y&=x^{3} \\ \end{align*}	✓	✓	✓	✓	27.170
22961	23535	\begin{align*} y^{\prime \prime }-4 y^{\prime }+4 y&=\frac {{\mathrm e}^{2 x}}{x^{4}} \\ \end{align*}	✓	✓	✓	✓	27.175
22962	9976	\begin{align*} y^{\prime }+\frac {2 y}{x}&=6 y^{2} x^{4} \\ \end{align*}	✓	✓	✓	✓	27.179
22963	16605	\begin{align*} y^{\prime \prime }+9 y&=52 \,{\mathrm e}^{2 x} \\ \end{align*}	✓	✓	✓	✓	27.185
22964	17835	\begin{align*} x^{\prime \prime }+16 x&=t \sin \left (t \right ) \\ \end{align*}	✓	✓	✓	✓	27.222
22965	19938	\begin{align*} \sec \left (x \right )^{2} \tan \left (y\right )+\sec \left (y\right )^{2} \tan \left (x \right ) y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	27.231
22966	13763	\begin{align*} y^{\prime \prime } x +\left (a b \,x^{n}+b \,x^{n -1}+a x -1\right ) y^{\prime }+a^{2} b \,x^{n} y&=0 \\ \end{align*}	✗	✗	✗	✗	27.242
22967	17621	\begin{align*} 4 x^{2} y^{\prime \prime }+8 y^{\prime } x +y&=0 \\ \end{align*}	✓	✓	✓	✓	27.242
22968	7281	\begin{align*} y^{\prime \prime }-y^{\prime }-2 y&=3 \,{\mathrm e}^{2 x} \\ \end{align*}	✓	✓	✓	✓	27.247
22969	8932	\begin{align*} y^{\prime \prime }-2 i y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	27.247
22970	7345	\begin{align*} 5 y+4 y^{\prime }+y^{\prime \prime }&=2 \,{\mathrm e}^{-2 x} \cos \left (x \right ) \\ \end{align*}	✓	✓	✓	✓	27.250
22971	18160	\begin{align*} y^{\prime \prime }+6 y^{\prime }+13 y&={\mathrm e}^{-3 x} \cos \left (2 x \right ) \\ \end{align*}	✓	✓	✓	✓	27.252
22972	25525	\begin{align*} y^{\prime \prime }+100 y&=\cos \left (\omega t \right )-\sin \left (\omega t \right ) \\ \end{align*}	✓	✓	✓	✓	27.253
22973	18868	\begin{align*} y^{\prime \prime }-2 y^{\prime }+y&=\frac {{\mathrm e}^{t}}{t^{2}+1} \\ \end{align*}	✓	✓	✓	✗	27.261
22974	22786	\begin{align*} 4 y+y^{\prime \prime }&=x \left (\cos \left (x \right )+1\right ) \\ \end{align*}	✓	✓	✓	✓	27.287
22975	20349	\begin{align*} y^{\prime \prime }+9 y&=\cos \left (2 x \right )+\sin \left (2 x \right ) \\ \end{align*}	✓	✓	✓	✓	27.297
22976	8020	\begin{align*} y^{\prime \prime }+2 y&=x^{3}+x^{2}+{\mathrm e}^{-2 x}+\cos \left (3 x \right ) \\ \end{align*}	✓	✓	✓	✓	27.303
22977	20718	\begin{align*} {y^{\prime }}^{3}+m {y^{\prime }}^{2}&=a \left (y+x m \right ) \\ \end{align*}	✓	✓	✗	✗	27.311
22978	10384	\begin{align*} y^{\prime \prime }+y^{\prime }+y&=x \\ \end{align*}	✓	✓	✓	✓	27.315
22979	13590	\begin{align*} y y^{\prime }+\frac {a \left (3 x -2\right ) y}{x}&=-\frac {2 a^{2} \left (x -1\right )^{2}}{x} \\ \end{align*}	✗	✗	✗	✗	27.316
22980	7277	\begin{align*} y^{\prime \prime }+y^{\prime }-2 y&={\mathrm e}^{2 x} \\ \end{align*}	✓	✓	✓	✓	27.319
22981	6120	\begin{align*} 2 y+2 \left (1-x \right ) y^{\prime }+\left (-x +2\right ) x y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✗	27.320
22982	10385	\begin{align*} y^{\prime \prime }+y^{\prime }+y&=x +1 \\ \end{align*}	✓	✓	✓	✓	27.320
22983	23224	\begin{align*} y^{\prime }&=\frac {\sqrt {2}\, \sqrt {\frac {x +y}{x}}}{2} \\ y \left (1\right ) &= 2 \\ \end{align*}	✓	✓	✓	✗	27.327
22984	17809	\begin{align*} 4 x^{\prime \prime }+2 x^{\prime }+8 x&=0 \\ x \left (0\right ) &= 0 \\ x^{\prime }\left (0\right ) &= 2 \\ \end{align*}	✓	✓	✓	✓	27.329
22985	18819	\begin{align*} y^{\prime \prime }+9 y&=t^{2} {\mathrm e}^{3 t}+6 \\ \end{align*}	✓	✓	✓	✓	27.334
22986	12155	\begin{align*} y^{\prime }&=-\frac {-y x -y+x^{5} \sqrt {x^{2}+y^{2}}-x^{4} \sqrt {x^{2}+y^{2}}\, y}{x \left (x +1\right )} \\ \end{align*}	✗	✓	✓	✗	27.336
22987	12408	\begin{align*} 5 \left (a x +b \right ) y^{\prime \prime }+8 a y^{\prime }+c \left (a x +b \right )^{{1}/{5}} y&=0 \\ \end{align*}	✗	✓	✓	✗	27.337
22988	14307	\begin{align*} x^{\prime \prime }+7 x&=t \,{\mathrm e}^{3 t} \\ \end{align*}	✓	✓	✓	✓	27.349
22989	17894	\begin{align*} y^{\prime }&=\frac {y}{x} \\ y \left (0\right ) &= 0 \\ \end{align*}	✓	✓	✓	✗	27.360
22990	12429	\begin{align*} x^{2} y^{\prime \prime }+y^{\prime } x +\left (-v^{2}+x^{2}\right ) y-f \left (x \right )&=0 \\ \end{align*}	✓	✓	✓	✗	27.367
22991	13502	\begin{align*} y y^{\prime }-y&=A +B \,{\mathrm e}^{-\frac {2 x}{A}} \\ \end{align*}	✗	✓	✗	✗	27.368
22992	14850	\begin{align*} y^{\prime \prime } x +y^{\prime }+\frac {\lambda y}{x}&=0 \\ y \left (1\right ) &= 0 \\ y^{\prime }\left ({\mathrm e}^{\pi }\right ) &= 0 \\ \end{align*}	✓	✓	✓	✓	27.377
22993	20060	\begin{align*} y^{\prime \prime }+2 y&=x^{2} {\mathrm e}^{3 x}+\cos \left (2 x \right ) {\mathrm e}^{x} \\ \end{align*}	✓	✓	✓	✓	27.381
22994	23065	\begin{align*} 6 y-5 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{x} \\ \end{align*}	✓	✓	✓	✓	27.382
22995	1603	\begin{align*} y^{\prime }&=a y-b y^{2} \\ y \left (0\right ) &= \operatorname {y0} \\ \end{align*}	✓	✓	✓	✓	27.386
22996	4504	\begin{align*} y+2 y^{\prime }+y^{\prime \prime }&=15 \,{\mathrm e}^{-x} \sqrt {x +1} \\ \end{align*}	✓	✓	✓	✓	27.388
22997	22623	\begin{align*} 2 y-3 y^{\prime }+y^{\prime \prime }&=x \\ \end{align*}	✓	✓	✓	✓	27.394
22998	24234	\begin{align*} x^{n +1} y^{n}+a y+\left (x^{n} y^{n +1}+a x \right ) y^{\prime }&=0 \\ \end{align*}	✓	✗	✓	✗	27.406
22999	12427	\begin{align*} x^{2} y^{\prime \prime }+y^{\prime } x -\left (a +x \right ) y&=0 \\ \end{align*}	✓	✓	✓	✓	27.421
23000	7996	\begin{align*} y^{\prime \prime }-y&=\frac {1}{\left (1+{\mathrm e}^{-x}\right )^{2}} \\ \end{align*}	✓	✓	✓	✓	27.429