2.3.171 Problems 17001 to 17100

Table 2.873: Main lookup table. Sorted by time used to solve.

#	ID	ODE	Solved?	Maple	Mma	Sympy	time(sec)
17001	15535	\begin{align*} y^{\prime }&=y x \\ \end{align*}	✓	✓	✓	✓	1.766
17002	17168	\begin{align*} t y^{\prime }+y&=2 \,{\mathrm e}^{t} t \\ y \left (1\right ) &= -1 \\ \end{align*}	✓	✓	✓	✓	1.766
17003	1215	\begin{align*} \frac {4 x^{3}}{y^{2}}+\frac {3}{y}+\left (\frac {3 x}{y^{2}}+4 y\right ) y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✗	1.767
17004	4095	\begin{align*} \left (x +1\right ) y^{\prime }-y^{2} x^{2}&=0 \\ \end{align*}	✓	✓	✓	✓	1.767
17005	5452	\begin{align*} x {y^{\prime }}^{2}+2 y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✗	1.767
17006	7973	\begin{align*} y^{\prime \prime } x -y^{\prime }+4 x^{3} y&=0 \\ \end{align*}	✓	✓	✓	✓	1.767
17007	23201	\begin{align*} 2 x^{2}+2 y^{2}+x +\left (y+y^{2}+x^{2}\right ) y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✗	1.768
17008	4235	\begin{align*} {\mathrm e}^{y} y^{\prime }+2 x&=2 x \,{\mathrm e}^{y} \\ \end{align*}	✓	✓	✓	✓	1.769
17009	13812	\begin{align*} \left (x^{2}-1\right ) y^{\prime \prime }+y^{\prime } x +a y&=0 \\ \end{align*}	✓	✓	✓	✗	1.769
17010	15603	\begin{align*} y-y^{\prime } x&=0 \\ \end{align*}	✓	✓	✓	✓	1.769
17011	17643	\begin{align*} 3 x^{2} y^{\prime \prime }-4 y^{\prime } x +2 y&=0 \\ y \left (1\right ) &= 2 \\ y^{\prime }\left (1\right ) &= 1 \\ \end{align*}	✓	✓	✓	✓	1.769
17012	1530	\begin{align*} y^{\prime }&=\cos \left (x \right )-\tan \left (x \right ) y \\ y \left (\frac {\pi }{4}\right ) &= \frac {\pi \sqrt {2}}{8} \\ \end{align*}	✓	✓	✓	✓	1.770
17013	16928	\begin{align*} x^{2} y^{\prime \prime }-\left (x^{2}+x \right ) y^{\prime }+4 y x&=0 \\ \end{align*} Series expansion around \(x=0\).	✓	✓	✓	✓	1.770
17014	18581	\begin{align*} 9 x^{2}+y-1-\left (4 y-x \right ) y^{\prime }&=0 \\ y \left (1\right ) &= 0 \\ \end{align*}	✓	✓	✓	✗	1.770
17015	19761	\begin{align*} t^{4} x^{\prime \prime \prime \prime }-2 t^{3} x^{\prime \prime \prime }-20 t^{2} x^{\prime \prime }+12 t x^{\prime }+16 x&=\cos \left (3 \ln \left (t \right )\right ) \\ \end{align*}	✓	✓	✓	✓	1.770
17016	25449	\begin{align*} -2 y+y^{\prime }&=\cos \left (\omega t \right ) \\ y \left (0\right ) &= 0 \\ \end{align*}	✓	✓	✓	✓	1.770
17017	12471	\begin{align*} x^{2} y^{\prime \prime }+a \,x^{2} y^{\prime }+f \left (x \right ) y&=0 \\ \end{align*}	✗	✗	✗	✗	1.771
17018	14929	\begin{align*} y^{\prime \prime }-4 y&=0 \\ y \left (0\right ) &= 10 \\ y^{\prime }\left (0\right ) &= 0 \\ \end{align*}	✓	✓	✓	✓	1.771
17019	19858	\begin{align*} y^{\prime \prime } x +2 y^{\prime }&=2 x \\ \end{align*}	✓	✓	✓	✓	1.771
17020	3050	\begin{align*} 2 y+y^{\prime }&=3 \,{\mathrm e}^{2 x} \\ y \left (0\right ) &= 1 \\ \end{align*}	✓	✓	✓	✓	1.772
17021	3227	\begin{align*} x^{2} y^{\prime \prime }+3 y^{\prime } x +y&=1-x \\ \end{align*}	✓	✓	✓	✓	1.772
17022	15666	\begin{align*} y^{\prime \prime }-4 y&=31 \\ y \left (0\right ) &= -9 \\ y^{\prime }\left (0\right ) &= 6 \\ \end{align*}	✓	✓	✓	✓	1.772
17023	18356	\begin{align*} y^{\prime \prime }+y&=0 \\ y \left (0\right ) &= 0 \\ y \left (2 \pi \right ) &= 1 \\ \end{align*}	✗	✗	✗	✗	1.773
17024	3619	\begin{align*} y^{\prime }&=\sin \left (x \right ) \left (y \sec \left (x \right )-2\right ) \\ \end{align*}	✓	✓	✓	✓	1.774
17025	22150	\begin{align*} y^{\prime }+\frac {4 y}{x}&=x^{4} \\ \end{align*}	✓	✓	✓	✓	1.774
17026	1569	\begin{align*} y^{\prime }+2 y x&=x \\ y \left (0\right ) &= 3 \\ \end{align*}	✓	✓	✓	✓	1.775
17027	11692	\begin{align*} a {y^{\prime }}^{2}+b y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	1.775
17028	763	\begin{align*} x^{3}+\frac {y}{x}+\left (y^{2}+\ln \left (x \right )\right ) y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✗	1.776
17029	6151	\begin{align*} y-\left (x +1\right ) y^{\prime }+2 \left (x +1\right )^{2} y^{\prime \prime }&=x \\ \end{align*}	✓	✓	✓	✗	1.776
17030	7539	\begin{align*} y^{\prime }+\tan \left (x \right ) y+\sin \left (x \right )&=0 \\ \end{align*}	✓	✓	✓	✓	1.776
17031	10107	\begin{align*} y^{\prime \prime }-y x -x^{3}+2&=0 \\ \end{align*}	✓	✓	✓	✓	1.776
17032	20603	\begin{align*} y x -x^{2} y^{\prime }+y^{\prime \prime }&=x \\ \end{align*}	✓	✓	✓	✗	1.776
17033	12462	\begin{align*} x^{2} y^{\prime \prime }-x \left (x -1\right ) y^{\prime }+\left (x -1\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	1.777
17034	14180	\begin{align*} \left (-x^{2}+1\right ) y^{\prime \prime }-y^{\prime } x&=2 \\ \end{align*}	✓	✓	✓	✓	1.777
17035	17228	\begin{align*} 2 t y+3 t^{2}+\left (t^{2}-1\right ) y^{\prime }&=0 \\ y \left (0\right ) &= 1 \\ \end{align*}	✓	✓	✓	✓	1.777
17036	20227	\begin{align*} y^{\prime }&={\mathrm e}^{x -y}+x^{2} {\mathrm e}^{-y} \\ \end{align*}	✓	✓	✓	✓	1.777
17037	25748	\begin{align*} y^{\prime }&=6 \sqrt {y}+5 x^{3} \\ y \left (-1\right ) &= 4 \\ \end{align*}	✗	✗	✗	✗	1.777
17038	14782	\begin{align*} x^{\prime }+y^{\prime }-x+5 y&=t^{2} \\ x^{\prime }+2 y^{\prime }-2 x+4 y&=2 t +1 \\ \end{align*}	✓	✓	✓	✓	1.778
17039	1212	\begin{align*} 1+\left (-\sin \left (y\right )+\frac {x}{y}\right ) y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	1.779
17040	5462	\begin{align*} x {y^{\prime }}^{2}-y^{\prime } y+a y&=0 \\ \end{align*}	✓	✓	✓	✗	1.779
17041	11667	\begin{align*} {y^{\prime }}^{2}+a y^{\prime }+b y&=0 \\ \end{align*}	✓	✓	✓	✓	1.779
17042	16213	\begin{align*} y^{\prime }+y x&=4 x \\ \end{align*}	✓	✓	✓	✓	1.779
17043	17670	\begin{align*} x^{2} y^{\prime \prime }+y^{\prime } x +y&=x^{2} \\ \end{align*}	✓	✓	✓	✓	1.779
17044	23256	\begin{align*} 7 y^{\prime }-y x&=0 \\ \end{align*}	✓	✓	✓	✓	1.779
17045	1116	\begin{align*} 4 t^{2} y+t^{3} y^{\prime }&={\mathrm e}^{-t} \\ y \left (-1\right ) &= 0 \\ \end{align*}	✓	✓	✓	✓	1.780
17046	1211	\begin{align*} y^{\prime }&=-1+{\mathrm e}^{2 x}+y \\ \end{align*}	✓	✓	✓	✓	1.780
17047	4737	\begin{align*} y \ln \left (x \right ) \ln \left (y\right )+y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	1.780
17048	10286	\begin{align*} y^{\prime }&=\cos \left (x \right )+\frac {y}{x} \\ \end{align*}	✓	✓	✓	✓	1.780
17049	14485	\begin{align*} x^{\prime }+\frac {x}{t^{2}}&=\frac {1}{t^{2}} \\ \end{align*}	✓	✓	✓	✓	1.780
17050	18061	\begin{align*} 2 y^{\prime } y+2 x +x^{2}+y^{2}&=0 \\ \end{align*}	✓	✓	✓	✓	1.780
17051	20633	\begin{align*} \sin \left (x \right )^{2} y^{\prime \prime }+\cos \left (x \right ) \sin \left (x \right ) y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✗	1.780
17052	5451	\begin{align*} x {y^{\prime }}^{2}+y^{\prime }&=y \\ \end{align*}	✓	✓	✓	✗	1.782
17053	15592	\begin{align*} y^{\prime }&=\frac {-y x +1}{x^{2}} \\ \end{align*}	✓	✓	✓	✓	1.782
17054	19105	\begin{align*} y^{\prime }&=2 y x -x^{3}+x \\ \end{align*}	✓	✓	✓	✓	1.782
17055	4206	\begin{align*} y^{\prime }+y \sin \left (x \right )&=\sin \left (2 x \right ) \\ \end{align*}	✓	✓	✓	✗	1.783
17056	5812	\begin{align*} \left (c \,x^{2}+b \right ) y+a y^{\prime }+y^{\prime \prime }&=0 \\ \end{align*}	✗	✓	✓	✗	1.783
17057	18582	\begin{align*} x^{2} y^{3}+x \left (1+y^{2}\right ) y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	1.783
17058	22059	\begin{align*} y^{\prime }+\frac {4 y}{x}&=x^{4} \\ \end{align*}	✓	✓	✓	✓	1.783
17059	2637	\begin{align*} t \left (t -2\right )^{2} y^{\prime \prime }+t y^{\prime }+y&=0 \\ \end{align*} Series expansion around \(t=0\).	✓	✓	✓	✓	1.784
17060	4101	\begin{align*} y^{\prime }&={\mathrm e}^{x -2 y} \\ y \left (0\right ) &= 0 \\ \end{align*}	✓	✓	✓	✓	1.784
17061	13928	\begin{align*} y^{\prime \prime }-\left (a^{2} {\mathrm e}^{2 x}+a \left (2 b +1\right ) {\mathrm e}^{x}+b^{2}\right ) y&=0 \\ \end{align*}	✗	✓	✓	✗	1.785
17062	21965	\begin{align*} y^{\prime }+2 x y^{2}&=0 \\ \end{align*}	✓	✓	✓	✓	1.785
17063	4076	\begin{align*} 5 y x +4 y^{2}+1+\left (x^{2}+2 y x \right ) y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✗	1.786
17064	13835	\begin{align*} \left (2 a x +x^{2}+b \right ) y^{\prime \prime }+\left (x +a \right ) y^{\prime }-m^{2} y&=0 \\ \end{align*}	✓	✓	✓	✗	1.786
17065	17195	\begin{align*} y+y^{\prime }&=\cos \left (t \right ) \\ y \left (0\right ) &= 0 \\ \end{align*}	✓	✓	✓	✓	1.786
17066	4208	\begin{align*} \sqrt {x^{2}+1}\, y^{\prime }+y&=2 x \\ \end{align*}	✓	✓	✓	✓	1.787
17067	10311	\begin{align*} {y^{\prime }}^{2}&=\frac {y^{3}}{x} \\ \end{align*}	✓	✓	✓	✓	1.787
17068	2823	\begin{align*} z^{\prime \prime }+z-2 z^{3}&=0 \\ \end{align*}	✓	✓	✓	✗	1.788
17069	6461	\begin{align*} {y^{\prime }}^{2}+\left (a +y\right ) y^{\prime \prime }&=b \\ \end{align*}	✓	✓	✓	✗	1.789
17070	21489	\begin{align*} 4 y+y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	1.789
17071	680	\begin{align*} \left (x +1\right ) y^{\prime }&=4 y \\ \end{align*}	✓	✓	✓	✓	1.790
17072	5972	\begin{align*} x^{2} y^{\prime \prime }+y^{\prime } x -y&=a \,x^{2} \\ \end{align*}	✓	✓	✓	✓	1.790
17073	8141	\begin{align*} y^{\prime \prime } x +y^{\prime } x -{\mathrm e}^{x} y&=0 \\ \end{align*} Series expansion around \(x=0\).	✓	✓	✓	✓	1.790
17074	8312	\begin{align*} y^{\prime }&=\frac {1}{y} \\ y \left (-2\right ) &= -1 \\ \end{align*}	✓	✓	✓	✓	1.790
17075	8682	\begin{align*} y^{\prime }&=\cos \left (x -y\right ) \\ \end{align*}	✓	✓	✓	✓	1.790
17076	15545	\begin{align*} y^{\prime }&=\frac {1}{\sqrt {15-x^{2}-y^{2}}} \\ \end{align*}	✗	✗	✗	✗	1.790
17077	19429	\begin{align*} \left (x -1\right ) y^{\prime \prime }-y^{\prime } x +y&=0 \\ \end{align*}	✓	✓	✓	✗	1.790
17078	19585	\begin{align*} y^{\prime \prime }+y^{\prime } x +y&=0 \\ \end{align*}	✓	✓	✓	✗	1.790
17079	20654	\begin{align*} \left (a^{2}-x^{2}\right ) y^{\prime \prime }-\frac {a^{2} y^{\prime }}{x}+\frac {x^{2} y}{a}&=0 \\ \end{align*}	✓	✓	✓	✗	1.790
17080	24310	\begin{align*} x^{2}-1+2 y+\left (-x^{2}+1\right ) y^{\prime }&=0 \\ y \left (2\right ) &= 1 \\ \end{align*}	✓	✓	✓	✓	1.790
17081	20751	\begin{align*} x^{2} y^{\prime \prime }-3 y^{\prime } x +4 y&=2 x^{2} \\ \end{align*}	✓	✓	✓	✓	1.791
17082	1141	\begin{align*} y^{\prime }&=\frac {2 x}{y+x^{2} y} \\ y \left (0\right ) &= -2 \\ \end{align*}	✓	✓	✓	✓	1.792
17083	2359	\begin{align*} y^{\prime }&=t \left (1+y\right ) \\ y \left (0\right ) &= -1 \\ \end{align*}	✓	✓	✓	✓	1.793
17084	5578	\begin{align*} y^{2} {y^{\prime }}^{2}-2 x y^{\prime } y-x^{2}+2 y^{2}&=0 \\ \end{align*}	✓	✓	✓	✗	1.793
17085	12835	\begin{align*} y^{\prime \prime }-y^{2}&=0 \\ \end{align*}	✓	✓	✓	✓	1.793
17086	11828	\begin{align*} 16 y^{2} {y^{\prime }}^{3}+2 y^{\prime } x -y&=0 \\ \end{align*}	✓	✓	✓	✗	1.796
17087	15375	\begin{align*} 3 y^{2} y^{\prime }-a y^{3}-x -1&=0 \\ \end{align*}	✓	✓	✓	✓	1.796
17088	16271	\begin{align*} x^{2} y^{\prime }+2 y x&=\sin \left (x \right ) \\ \end{align*}	✓	✓	✓	✓	1.796
17089	16683	\begin{align*} 2 x^{2} y^{\prime \prime }+5 y^{\prime } x +y&=\frac {10}{x} \\ \end{align*}	✓	✓	✓	✓	1.797
17090	17801	\begin{align*} x^{\prime \prime }+4 x&=0 \\ x \left (0\right ) &= 1 \\ x^{\prime }\left (0\right ) &= 1 \\ \end{align*}	✓	✓	✓	✓	1.797
17091	22974	\begin{align*} y^{\prime }&=\frac {x -y+2}{x +1} \\ \end{align*}	✓	✓	✓	✓	1.797
17092	3626	\begin{align*} x^{\prime }+\frac {2 x}{-t +4}&=5 \\ x \left (0\right ) &= 4 \\ \end{align*}	✓	✓	✓	✓	1.798
17093	21989	\begin{align*} y^{\prime }&=-\frac {2 y}{x} \\ \end{align*}	✓	✓	✓	✓	1.798
17094	8426	\begin{align*} y x +x^{2} y^{\prime }&=1 \\ \end{align*}	✓	✓	✓	✓	1.799
17095	9182	\begin{align*} y^{\prime \prime }-k^{2} y&=0 \\ \end{align*}	✓	✓	✓	✓	1.799
17096	17184	\begin{align*} y^{\prime }+4 y&=8 \cos \left (4 t \right ) \\ \end{align*}	✓	✓	✓	✓	1.799
17097	18357	\begin{align*} 1+{y^{\prime }}^{2}+y y^{\prime \prime }&=0 \\ y \left (0\right ) &= 1 \\ y \left (1\right ) &= 2 \\ \end{align*}	✓	✓	✓	✗	1.799
17098	4784	\begin{align*} y^{\prime } x&=a \,x^{3} \left (-y x +1\right ) y \\ \end{align*}	✓	✓	✓	✓	1.800
17099	8642	\begin{align*} y^{\prime \prime }+y^{\prime }-2 y&=\left \{\begin {array}{cc} 3 \sin \left (t \right )-\cos \left (t \right ) & 0<t <2 \pi \\ 3 \sin \left (2 t \right )-\cos \left (2 t \right ) & 2 \pi <t \end {array}\right . \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 0 \\ \end{align*} Using Laplace transform method.	✓	✓	✓	✗	1.800
17100	9091	\begin{align*} x y^{2}-x^{2} y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	1.800