| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 24901 |
\begin{align*}
y^{2}+\frac {y}{\cos \left (x \right )^{2}}+\left (2 y x +\tan \left (x \right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.577 |
|
| 24902 |
\begin{align*}
y^{\prime }&=\frac {\left (a y^{2}+b \,x^{2}\right )^{3} x}{a^{{5}/{2}} \left (a y^{2}+b \,x^{2}+a \right ) y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.582 |
|
| 24903 |
\begin{align*}
3 y y^{\prime } y^{\prime \prime }&=-1+{y^{\prime }}^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.591 |
|
| 24904 |
\begin{align*}
x y y^{\prime }&=y^{2}+x \sqrt {4 x^{2}+y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.594 |
|
| 24905 |
\begin{align*}
x^{\prime } t +x \left (1-x^{2} t^{4}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.599 |
|
| 24906 |
\begin{align*}
y y^{\prime }+x^{3}+y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
16.599 |
|
| 24907 |
\begin{align*}
\left (1-3 x +2 y\right )^{2} y^{\prime }&=\left (4+2 x -3 y\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.602 |
|
| 24908 |
\begin{align*}
y^{\prime }&=\frac {x +y}{x -y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.635 |
|
| 24909 |
\begin{align*}
y \sqrt {x^{2}+y^{2}}-x \left (x +\sqrt {x^{2}+y^{2}}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.653 |
|
| 24910 |
\begin{align*}
y^{\prime }&=\sin \left (y\right ) \\
y \left (1\right ) &= \frac {\pi }{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.656 |
|
| 24911 |
\begin{align*}
2 y+\left (x^{2} y+1\right ) x y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.661 |
|
| 24912 |
\begin{align*}
x +2 y+\left (3 x +6 y+3\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.675 |
|
| 24913 |
\begin{align*}
{y^{\prime }}^{2} x^{2}+2 x \left (2 x +y\right ) y^{\prime }-4 a +y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.682 |
|
| 24914 |
\begin{align*}
2 x y y^{\prime }&=x^{2}+y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.709 |
|
| 24915 |
\begin{align*}
y^{\prime }&=\frac {y}{x +y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.715 |
|
| 24916 |
\begin{align*}
2 x +3 y-1+\left (4 x +6 y-5\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.722 |
|
| 24917 |
\begin{align*}
{y^{\prime }}^{2} x^{2}+x^{2}-y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.737 |
|
| 24918 |
\begin{align*}
4 \left (x^{2}+x \right ) y^{\prime \prime }+2 \left (2 x +1\right ) y^{\prime }-y&=2 \sqrt {x^{2}+x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.739 |
|
| 24919 |
\begin{align*}
r^{2} \sin \left (t \right )&=\left (2 r \cos \left (t \right )+10\right ) r^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.740 |
|
| 24920 |
\begin{align*}
y^{\prime }-y \,{\mathrm e}^{x}&=\frac {\sin \left (\frac {1}{x}\right )}{x^{2}}-{\mathrm e}^{x} \cos \left (\frac {1}{x}\right ) \\
y \left (-\infty \right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.740 |
|
| 24921 |
\begin{align*}
y^{\prime \prime }+\left (a b \,x^{n}+b \,x^{n -1}+2 a \right ) y^{\prime }+a^{2} \left (b \,x^{n}+1\right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
16.754 |
|
| 24922 |
\begin{align*}
x y^{\prime \prime }+\left (x^{n}+1-n \right ) y^{\prime }+b \,x^{2 n -1} y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
16.760 |
|
| 24923 |
\begin{align*}
2 x^{2} y-3 y^{4}+\left (3 x^{3}+2 x y^{3}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.763 |
|
| 24924 |
\begin{align*}
\sqrt {a^{2}+b^{2} {y^{\prime }}^{2}}+x y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.776 |
|
| 24925 |
\begin{align*}
y^{\prime }&=t^{2}+y^{2} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.779 |
|
| 24926 |
\begin{align*}
y^{\prime }&=\left (y-3\right ) \left (\sin \left (y\right ) \sin \left (t \right )+\cos \left (t \right )+1\right ) \\
y \left (0\right ) &= 4 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
16.783 |
|
| 24927 |
\begin{align*}
y y^{\prime }&=x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.799 |
|
| 24928 |
\begin{align*}
y x +\left (x^{2}+y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.812 |
|
| 24929 |
\begin{align*}
3 y x +y^{2}+\left (y x +x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.818 |
|
| 24930 |
\begin{align*}
x y y^{\prime }-y^{2}&=x^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.829 |
|
| 24931 |
\begin{align*}
x^{2} y^{\prime \prime }+2 x f \left (x \right ) y^{\prime }+\left (f^{\prime }\left (x \right ) x +f \left (x \right )^{2}-f \left (x \right )+a \,x^{2}+b x +c \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
16.833 |
|
| 24932 |
\begin{align*}
1+\left (x +y\right )^{2}+\left (1+x \left (x +y\right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.834 |
|
| 24933 |
\begin{align*}
y^{\prime }&={\mathrm e}^{t -y} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.835 |
|
| 24934 |
\begin{align*}
x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y&=x^{2}+2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.851 |
|
| 24935 |
\begin{align*}
y^{\prime }&=y^{2}-4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.870 |
|
| 24936 |
\begin{align*}
y^{\prime }&=r y-k^{2} y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.880 |
|
| 24937 |
\begin{align*}
7 x +4 y+\left (4 x +3 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.893 |
|
| 24938 |
\begin{align*}
x +y-1+\left (y-x -5\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.905 |
|
| 24939 |
\begin{align*}
x y^{\prime }&=y \left (1-x \tan \left (x \right )\right )+x^{2} \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.918 |
|
| 24940 |
\begin{align*}
2 x +y+\left (4 x +2 y+1\right ) y^{\prime }&=0 \\
y \left (-\frac {1}{6}\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
16.924 |
|
| 24941 |
\begin{align*}
y^{\prime }&=\frac {x^{2}+y^{2}}{y x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.925 |
|
| 24942 |
\begin{align*}
x^{2} {y^{\prime }}^{3}+y \left (x^{2} y+1\right ) {y^{\prime }}^{2}+y^{2} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
16.929 |
|
| 24943 |
\begin{align*}
y&=\sqrt {1+{y^{\prime }}^{2}}+a y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.930 |
|
| 24944 |
\begin{align*}
x y^{\prime }&=x^{3} y^{3}-2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.941 |
|
| 24945 |
\begin{align*}
x y y^{\prime }&=y^{2}+x \sqrt {4 x^{2}+y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.947 |
|
| 24946 |
\begin{align*}
y^{\prime }&=\sqrt {1-t^{2}-y^{2}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
16.949 |
|
| 24947 |
\begin{align*}
y&=x y^{\prime }-\sqrt {x^{2}+y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.950 |
|
| 24948 |
\begin{align*}
x^{2} y+y^{2}+x^{3} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.952 |
|
| 24949 |
\begin{align*}
y^{\prime }&=2-\frac {y}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.964 |
|
| 24950 |
\begin{align*}
x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y&=x^{3} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.966 |
|
| 24951 |
\begin{align*}
y^{\prime }&={\mathrm e}^{\frac {x y^{\prime }}{y}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.973 |
|
| 24952 |
\begin{align*}
y^{\prime }&=\sqrt {y^{2}-1} \\
y \left (0\right ) &= {\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.987 |
|
| 24953 |
\begin{align*}
\frac {y+\sin \left (x \right ) \cos \left (y x \right )^{2}}{\cos \left (y x \right )^{2}}+\left (\frac {x}{\cos \left (y x \right )^{2}}+\sin \left (y\right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
16.999 |
|
| 24954 |
\begin{align*}
y^{\prime }&=\frac {x^{2}+y^{2}}{y x} \\
y \left (1\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
17.003 |
|
| 24955 |
\begin{align*}
x^{\prime }&=-x+y-z \\
y^{\prime }&=2 x-y-4 z \\
z^{\prime }&=3 x-y+z \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
17.011 |
|
| 24956 |
\begin{align*}
y^{\prime }&=\lambda \arcsin \left (x \right )^{n} y^{2}+a y+a b -b^{2} \lambda \arcsin \left (x \right )^{n} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.052 |
|
| 24957 |
\begin{align*}
y^{\prime }&=\frac {x +2 y}{2 x -y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.070 |
|
| 24958 |
\begin{align*}
y^{\prime }&=t^{2}+y^{2} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
17.093 |
|
| 24959 |
\begin{align*}
x^{3}+y+\left (x^{2} y-x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.098 |
|
| 24960 |
\begin{align*}
x +2 y+\left (2 x +3 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.145 |
|
| 24961 |
\begin{align*}
x^{2} y^{\prime }-3 y x -2 y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.155 |
|
| 24962 |
\begin{align*}
1+5 t -y-\left (t +2 y\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.158 |
|
| 24963 |
\begin{align*}
y^{\prime }-\frac {3 y}{x}+x^{3} y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.174 |
|
| 24964 |
\begin{align*}
\left (a x +b \right )^{2} y^{\prime }+\left (a x +b \right ) y^{3}+c y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
17.177 |
|
| 24965 |
\begin{align*}
\left (a \ln \left (x \right )+b \right ) y^{\prime }&=\ln \left (x \right )^{n} y^{2}+c y-\lambda ^{2} \ln \left (x \right )^{n}+\lambda c \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
17.178 |
|
| 24966 |
\begin{align*}
x y^{\prime }&=y \left (1+\ln \left (y\right )-\ln \left (x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.197 |
|
| 24967 |
\begin{align*}
y x +3 x^{2} y^{\prime }+x^{3} y^{\prime \prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.206 |
|
| 24968 |
\begin{align*}
\left (1-4 \cos \left (x \right )^{2}\right ) y^{\prime }&=\tan \left (x \right ) \left (1+4 \cos \left (x \right )^{2}\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.209 |
|
| 24969 |
\begin{align*}
x^{2}+y^{2}-2 x y y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.232 |
|
| 24970 |
\begin{align*}
x \left (x -y^{3}\right ) y^{\prime }&=\left (3 x +y^{3}\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
17.237 |
|
| 24971 |
\begin{align*}
x^{2} y^{\prime \prime }-3 x y^{\prime }+3 y&=2 x^{3}-x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.243 |
|
| 24972 |
\begin{align*}
y^{\prime }&=x \sqrt {1-y^{2}} \\
y \left (0\right ) &= {\frac {9}{10}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
17.255 |
|
| 24973 |
\begin{align*}
y^{\prime }&=\frac {x \left (1+y^{2}\right )}{y \left (x^{2}+1\right )} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.273 |
|
| 24974 |
\begin{align*}
\left (1+{y^{\prime }}^{2}\right ) y^{\prime \prime \prime }-\left (a +3 y^{\prime }\right ) {y^{\prime \prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
17.279 |
|
| 24975 |
\begin{align*}
y^{\prime \prime }-\frac {2 {y^{\prime }}^{2}}{y}-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
17.283 |
|
| 24976 |
\begin{align*}
x y^{\prime }&=\sqrt {y^{2}-x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.296 |
|
| 24977 |
\begin{align*}
y^{2}-\left (y x +x^{3}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.300 |
|
| 24978 |
\begin{align*}
y^{\prime }&=\frac {x^{2}+2 y^{2}}{x^{2}-2 y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
17.320 |
|
| 24979 |
\begin{align*}
y^{\prime }&=-\frac {4 x +3 y}{2 x +y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.329 |
|
| 24980 |
\begin{align*}
y^{\prime \prime }+9 \pi ^{2} y&=\left \{\begin {array}{cc} 2 t & 0\le t <\pi \\ 2 t -2 \pi & \pi \le t <2 \pi \\ 0 & 2 \pi \le t \end {array}\right . \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.358 |
|
| 24981 |
\begin{align*}
4+\left (x -y+2\right )^{2} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.379 |
|
| 24982 |
\begin{align*}
y^{\prime } \sqrt {-x^{2}+1}+\sqrt {1-y^{2}}&=0 \\
y \left (0\right ) &= \frac {\sqrt {3}}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
17.394 |
|
| 24983 |
\begin{align*}
x -y+3+\left (3 x +y+1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.414 |
|
| 24984 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime }&=\left (-1+y\right ) x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.425 |
|
| 24985 |
\begin{align*}
y+\left (y^{n} a \,x^{2}-2 x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
17.426 |
|
| 24986 |
\begin{align*}
\left (x^{2}+3 x \right ) y^{\prime }&=y^{3}+2 y \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
17.432 |
|
| 24987 |
\begin{align*}
y^{\prime }&=\left (5+\frac {\sec \left (x \right )}{x}\right ) \left (\sin \left (y\right )+y\right ) \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
17.450 |
|
| 24988 |
\begin{align*}
y^{\prime }&=\frac {y x +y+x \sqrt {x^{2}+y^{2}}}{x \left (x +1\right )} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
17.450 |
|
| 24989 |
\begin{align*}
\left (\sqrt {y x}-1\right ) x y^{\prime }-\left (\sqrt {y x}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.472 |
|
| 24990 |
\begin{align*}
S^{\prime }&=S^{3}-2 S^{2}+S \\
S \left (0\right ) &= -{\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
17.478 |
|
| 24991 |
\begin{align*}
\frac {2 x y y^{\prime }}{3}&=\sqrt {x^{6}-y^{4}}+y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
17.480 |
|
| 24992 |
\begin{align*}
\left (\frac {x}{y}+\frac {y}{x}\right ) y^{\prime }+1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.483 |
|
| 24993 |
\begin{align*}
\left (x +4 y\right ) y^{\prime }+4 x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.485 |
|
| 24994 |
\begin{align*}
y^{\prime }&=-\frac {x}{y} \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.495 |
|
| 24995 |
\begin{align*}
y^{\prime }&=\frac {x^{3}+y^{3}}{x y^{2}} \\
y \left (1\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.503 |
|
| 24996 |
\begin{align*}
y+\sqrt {x^{2}+y^{2}}-x y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.504 |
|
| 24997 |
\begin{align*}
\left (4 x -y\right ) {y^{\prime }}^{2}+6 \left (x -y\right ) y^{\prime }+2 x -5 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.516 |
|
| 24998 |
\begin{align*}
2 x^{2} y^{\prime \prime }+5 x y^{\prime }+y&=85 \cos \left (2 \ln \left (x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.519 |
|
| 24999 |
\begin{align*}
y^{\prime \prime }-\cot \left (x \right ) y^{\prime }-\left (1-\cot \left (x \right )\right ) y&={\mathrm e}^{x} \sin \left (x \right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
17.523 |
|
| 25000 |
\begin{align*}
x \sin \left (\frac {y}{x}\right )-y \cos \left (\frac {y}{x}\right )+x \cos \left (\frac {y}{x}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.528 |
|