| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 23901 |
\begin{align*}
\theta ^{\prime }&=\frac {11}{10}-\frac {9 \cos \left (\theta \right )}{10} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.142 |
|
| 23902 |
\begin{align*}
2 t y+\left (t^{2}+y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.175 |
|
| 23903 |
\begin{align*}
x^{3}+y^{3}+y^{2} y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.180 |
|
| 23904 |
\begin{align*}
y^{\prime }&=\frac {2 y-x +7}{4 x -3 y-18} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.185 |
|
| 23905 |
\begin{align*}
y^{\prime }&=t^{2}+y^{2} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.194 |
|
| 23906 |
\begin{align*}
x v^{\prime }&=\frac {1-4 v^{2}}{3 v} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.195 |
|
| 23907 |
\begin{align*}
x^{\prime }&=-\frac {t}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.195 |
|
| 23908 |
\begin{align*}
y \left (x +y^{2}\right )+x \left (x -y^{2}\right ) y^{\prime }&=0 \\
y \left (2\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
22.196 |
|
| 23909 |
\begin{align*}
\theta ^{\prime }&=\frac {9}{10}-\frac {11 \cos \left (\theta \right )}{10} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.206 |
|
| 23910 |
\begin{align*}
\left (2 u+1\right ) u^{\prime }-1-t&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.210 |
|
| 23911 |
\begin{align*}
x \cos \left (y\right )^{2}+\tan \left (y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.221 |
|
| 23912 |
\begin{align*}
2 x +y+\left (2 y+2 x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.224 |
|
| 23913 |
\begin{align*}
t^{3}+y^{3}-t y^{2} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.247 |
|
| 23914 |
\begin{align*}
x^{2} y^{\prime \prime }+5 y^{\prime } x +4 y&=x^{2}+16 \ln \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.251 |
|
| 23915 |
\begin{align*}
x^{3}+y^{3}&=3 y^{2} y^{\prime } x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.263 |
|
| 23916 |
\begin{align*}
x^{3}+y^{3}+3 y^{2} y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.292 |
|
| 23917 |
\begin{align*}
y^{\prime } \ln \left (y^{\prime }+\sqrt {1+{y^{\prime }}^{2}}\right )-\sqrt {1+{y^{\prime }}^{2}}-y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.294 |
|
| 23918 |
\begin{align*}
y^{\prime }&=t^{2} \tan \left (y\right ) \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.300 |
|
| 23919 |
\begin{align*}
\cos \left (x \right ) y-2 \sin \left (y\right )&=\left (2 x \cos \left (y\right )-\sin \left (x \right )\right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.307 |
|
| 23920 |
\begin{align*}
y y^{\prime }&=\sqrt {x^{2}+y^{2}}-x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.338 |
|
| 23921 |
\begin{align*}
x -3 y+2+3 \left (x +3 y-4\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.348 |
|
| 23922 |
\begin{align*}
y^{\prime }&=\frac {-3 t^{2}-2 y^{2}}{4 t y+6 y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.368 |
|
| 23923 |
\begin{align*}
y^{\prime } x&=\sqrt {x^{2}+y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.382 |
|
| 23924 |
\begin{align*}
y-2 x -1+\left (x +y-4\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.395 |
|
| 23925 |
\begin{align*}
x^{2} y^{\prime }+y^{2}&=y y^{\prime } x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.401 |
|
| 23926 |
\begin{align*}
y \left (2 x^{2}-y x +y^{2}\right )-x^{2} \left (2 x -y\right ) y^{\prime }&=0 \\
y \left (1\right ) &= {\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.442 |
|
| 23927 |
\begin{align*}
\frac {y \left (2+x^{3} y\right )}{x^{3}}&=\frac {\left (1-2 x^{3} y\right ) y^{\prime }}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.455 |
|
| 23928 |
\begin{align*}
\frac {y \cos \left (\frac {y}{x}\right )}{x}-\left (\frac {x \sin \left (\frac {y}{x}\right )}{y}+\cos \left (\frac {y}{x}\right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.456 |
|
| 23929 |
\begin{align*}
\left (x -1\right ) y-\left (x^{2}-2 x -2 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.458 |
|
| 23930 |
\begin{align*}
y^{\prime }&=\tan \left (y\right ) \cot \left (x \right )-\sec \left (y\right ) \cos \left (x \right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
22.465 |
|
| 23931 |
\begin{align*}
t^{2} N^{\prime \prime }-2 t N^{\prime }+2 N&=t \ln \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.493 |
|
| 23932 |
\begin{align*}
y^{2}-x^{2}+y y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.516 |
|
| 23933 |
\begin{align*}
y^{\prime }&=\frac {x^{2}+y^{2}}{\sin \left (x \right )} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
22.558 |
|
| 23934 |
\begin{align*}
y^{\prime }&=\frac {t -y}{y+t} \\
y \left (1\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.570 |
|
| 23935 |
\begin{align*}
y^{\prime }+x \left (\sin \left (2 y\right )-x^{2} \cos \left (y\right )^{2}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.571 |
|
| 23936 |
\begin{align*}
2 x +3 y-1+\left (2 x +3 y-5\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.574 |
|
| 23937 |
\begin{align*}
y^{\prime }&=x^{2}+y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.597 |
|
| 23938 |
\begin{align*}
y^{\prime }&=\frac {-y \sin \left (\frac {y}{x}\right )+y \sin \left (\frac {3 y}{2 x}\right ) \cos \left (\frac {y}{2 x}\right )+y \cos \left (\frac {y}{2 x}\right ) \sin \left (\frac {y}{2 x}\right )+2 \sin \left (\frac {y}{x}\right ) x^{3} \cos \left (\frac {y}{2 x}\right ) \sin \left (\frac {y}{2 x}\right )}{2 \cos \left (\frac {y}{x}\right ) \cos \left (\frac {y}{2 x}\right ) \sin \left (\frac {y}{2 x}\right ) x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.615 |
|
| 23939 |
\begin{align*}
x -y-\left (x +y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.628 |
|
| 23940 |
\begin{align*}
\sin \left (2 x \right )+\cos \left (3 y\right ) y^{\prime }&=0 \\
y \left (\frac {\pi }{2}\right ) &= \frac {\pi }{3} \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
22.634 |
|
| 23941 |
\begin{align*}
y^{\prime }&=\frac {x -y-1}{x +y+5} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.640 |
|
| 23942 |
\begin{align*}
y \cos \left (t \right )+\sin \left (t \right ) y^{\prime }&={\mathrm e}^{t} \\
y \left (1\right ) &= a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.653 |
|
| 23943 |
\begin{align*}
y^{\prime }&=\frac {6 x^{2} y-2 x +1-5 x^{3} y^{2}-2 y x +y^{3} x^{4}}{x^{2} \left (x^{2} y-x +1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.658 |
|
| 23944 |
\begin{align*}
x^{\prime \prime }+\frac {2 x^{\prime }}{5}+2 x&=1-\operatorname {Heaviside}\left (t -5\right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
22.685 |
|
| 23945 |
\begin{align*}
y^{\prime \prime \prime }-y&=x^{n} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.685 |
|
| 23946 |
\begin{align*}
y y^{\prime \prime }-3 {y^{\prime }}^{2}+3 y y^{\prime }-y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.712 |
|
| 23947 |
\begin{align*}
2 x +4 y+\left (2 x -2 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.713 |
|
| 23948 |
\begin{align*}
\left (y+2 x -2\right ) y^{\prime }-y+x +1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.751 |
|
| 23949 |
\begin{align*}
\left (x^{2}-y^{2}\right ) y^{\prime }&=2 y x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.775 |
|
| 23950 |
\begin{align*}
y^{\prime }&=\frac {y^{2}}{x -2} \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.776 |
|
| 23951 |
\begin{align*}
x \left (x^{4}-2 y^{3}\right ) y^{\prime }+\left (2 x^{4}+y^{3}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.793 |
|
| 23952 |
\begin{align*}
y^{\prime }&=\frac {x +y+4}{x -y-6} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.800 |
|
| 23953 |
\begin{align*}
\left (y f \left (x^{2}+y^{2}\right )-x \right ) y^{\prime }+y+x f \left (x^{2}+y^{2}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.804 |
|
| 23954 |
\begin{align*}
x^{2} y^{\prime }+y x +\sqrt {y}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.819 |
|
| 23955 |
\begin{align*}
\left (x +y\right )^{2} y^{\prime }&=a^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.838 |
|
| 23956 |
\begin{align*}
y^{\prime }&=\cos \left (y+t \right ) \\
y \left (t_{0} \right ) &= y_{0} \\
\end{align*} |
✓ |
✗ |
✓ |
✓ |
22.843 |
|
| 23957 |
\begin{align*}
y y^{\prime }&=a \cos \left (\lambda x \right ) y+1 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
22.851 |
|
| 23958 |
\begin{align*}
x \left (2 a y+b x \right ) y^{\prime }&=a \left (2-m \right ) y^{2}+b \left (-m +1\right ) x y+c \,x^{2}+A \,x^{m +2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.855 |
|
| 23959 |
\begin{align*}
x \sin \left (\frac {y}{x}\right ) y^{\prime }&=y \sin \left (\frac {y}{x}\right )+x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.857 |
|
| 23960 |
\begin{align*}
\left (t -\sqrt {t y}\right ) y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.865 |
|
| 23961 |
\begin{align*}
x +y y^{\prime }&=m \left (-y+y^{\prime } x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.873 |
|
| 23962 |
\begin{align*}
{y^{\prime }}^{2}-a y y^{\prime }-a x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.911 |
|
| 23963 |
\begin{align*}
x^{\prime }&=\left (1+x\right ) \left (2-x\right ) \sin \left (x\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.924 |
|
| 23964 |
\begin{align*}
\left (x^{3}+x +1\right ) y^{\prime \prime \prime }+\left (3+6 x \right ) y^{\prime \prime }+6 y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
22.926 |
|
| 23965 |
\begin{align*}
y^{\prime }&=-\frac {1+{\mathrm e}^{t y} y}{2 y+{\mathrm e}^{t y} t} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.945 |
|
| 23966 |
\begin{align*}
x^{2}+2 y x +2 y^{2}+\left (x^{2}+4 y x +5 y^{2}\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.949 |
|
| 23967 |
\begin{align*}
y^{\prime }&=\frac {y}{x +\sqrt {y x}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.956 |
|
| 23968 |
\begin{align*}
y^{\prime }&=\frac {x +3 y-5}{x -y-1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.970 |
|
| 23969 |
\begin{align*}
y^{\prime }&=\frac {x \sqrt {x^{2}+y^{2}}+y^{2}}{y x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.982 |
|
| 23970 |
\begin{align*}
\left (5-2 x -y\right ) y^{\prime }+4-x -2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.990 |
|
| 23971 |
\begin{align*}
\sin \left (y\right )+\left (x \cos \left (y\right )-y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.993 |
|
| 23972 |
\begin{align*}
\left (x^{2}+y x +a \right ) y^{\prime }&=y^{2}+y x +b \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.011 |
|
| 23973 |
\begin{align*}
y^{\prime }&=\frac {x +y+4}{x -y-6} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.015 |
|
| 23974 |
\begin{align*}
2 y y^{\prime } x&=y^{2}-x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.051 |
|
| 23975 |
\begin{align*}
8 \left (1+y^{\prime }\right )^{3}&=27 \left (x +y\right ) \left (1-y^{\prime }\right )^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.056 |
|
| 23976 |
\begin{align*}
y^{\prime }&=\frac {2+y \,{\mathrm e}^{y x}}{2 y-x \,{\mathrm e}^{y x}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.081 |
|
| 23977 |
\begin{align*}
\left (x +2 x^{2} y\right ) y^{\prime }-x^{2} y^{3}+2 x y^{2}+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.102 |
|
| 23978 |
\begin{align*}
y^{2} \left (x^{2}+1\right )+y+\left (2 y x +1\right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
23.108 |
|
| 23979 |
\begin{align*}
3 t^{2} y^{\prime \prime }+2 y^{\prime } t +y&={\mathrm e}^{2 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.115 |
|
| 23980 |
\begin{align*}
\left (y^{4}+y^{2} x^{2}-x^{2}\right ) {y^{\prime }}^{2}+2 y y^{\prime } x -y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.120 |
|
| 23981 |
\begin{align*}
\left (3 x -1\right ) y^{\prime \prime }-\left (3 x +2\right ) y^{\prime }+\left (6 x -8\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
23.131 |
|
| 23982 |
\begin{align*}
\left (-2+2 y\right ) y^{\prime }&=2 x -1 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
23.140 |
|
| 23983 |
\begin{align*}
1+y \,{\mathrm e}^{y x}+\left (2 y+x \,{\mathrm e}^{y x}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.184 |
|
| 23984 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=\operatorname {Heaviside}\left (t -\pi \right )-\operatorname {Heaviside}\left (t -2 \pi \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
23.185 |
|
| 23985 |
\begin{align*}
y^{\prime }&=\frac {\cosh \left (x \right )}{\sinh \left (x \right )}+\textit {\_F1} \left (y-\ln \left (\sinh \left (x \right )\right )\right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
23.191 |
|
| 23986 |
\begin{align*}
y^{\prime }&=-\frac {x}{2}+\frac {\sqrt {x^{2}+4 y}}{2} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.195 |
|
| 23987 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+\sin \left (t \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
23.202 |
|
| 23988 |
\begin{align*}
y^{\prime }&=\frac {y}{x}+\sin \left (\frac {y}{x}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.219 |
|
| 23989 |
\begin{align*}
\left (1+y^{\prime }\right ) \ln \left (\frac {x +y}{x +3}\right )&=\frac {x +y}{x +3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.225 |
|
| 23990 |
\begin{align*}
y y^{\prime } x +x^{6}-2 y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.229 |
|
| 23991 |
\begin{align*}
x \tan \left (\frac {y}{x}\right )+y-y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.237 |
|
| 23992 |
\begin{align*}
x^{2} y^{\prime \prime }&=f \left (\frac {x y^{\prime }}{y}\right ) y \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
23.257 |
|
| 23993 |
\begin{align*}
2 \sin \left (x \right ) \cos \left (x \right ) y+\sin \left (x \right ) y^{2}+\left (\sin \left (x \right )^{2}-2 \cos \left (x \right ) y\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.260 |
|
| 23994 |
\begin{align*}
2 y^{\prime } x -2 y&=\sqrt {x^{2}+4 y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.291 |
|
| 23995 |
\begin{align*}
y^{\prime }&=\frac {x -2 y}{2 x -y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.298 |
|
| 23996 |
\begin{align*}
y^{\prime \prime }+\left (x^{n} a b +2 b \,x^{n -1}-a^{2} x \right ) y^{\prime }+a \left (x^{n} a b +b \,x^{n -1}-a^{2} x \right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
23.318 |
|
| 23997 |
\begin{align*}
y^{\prime }&=\frac {y \left (x +y\right ) \left (1+y\right )}{x \left (y x +x +y\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.325 |
|
| 23998 |
\begin{align*}
y \ln \left (\frac {t}{y}\right )+\frac {t^{2} y^{\prime }}{y+t}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.325 |
|
| 23999 |
\begin{align*}
y x +\left (y^{2}-x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.337 |
|
| 24000 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +4 y&=2 x \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.355 |
|