| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 22901 |
\begin{align*}
y^{\prime }&=\left (4 x +y+2\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.181 |
|
| 22902 |
\begin{align*}
y^{\prime }&=-\frac {y \left (\tan \left (x \right )+\ln \left (2 x \right ) x -\ln \left (2 x \right ) x^{2} y\right )}{x \tan \left (x \right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.185 |
|
| 22903 |
\begin{align*}
a^{2}+y^{2}+2 x \sqrt {a x -x^{2}}\, y^{\prime }&=0 \\
y \left (a \right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.187 |
|
| 22904 |
\begin{align*}
\sec \left (x -2 y\right )^{2}+\cos \left (x +3 y\right )-3 \sin \left (3 x \right )+\left (3 \cos \left (x +3 y\right )-2 \sec \left (x -2 y\right )^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
11.188 |
|
| 22905 |
\begin{align*}
3 \left (x +2 y\right ) y^{\prime }&=1-x -2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.206 |
|
| 22906 |
\begin{align*}
y^{\prime }&=\sqrt {a +b y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.221 |
|
| 22907 |
\begin{align*}
\left (\sinh \left (\lambda x \right ) a +b \right ) \left (y^{\prime }-y^{2}\right )+a \,\lambda ^{2} \sinh \left (\lambda x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.221 |
|
| 22908 |
\begin{align*}
y^{\prime }&=\frac {x +y}{x -y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.224 |
|
| 22909 |
\begin{align*}
y^{\prime }+y x&=x y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.226 |
|
| 22910 |
\begin{align*}
\sin \left (x \right )^{2} y^{\prime }+\sin \left (x \right )^{2}+\left (x +y\right ) \sin \left (2 x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.227 |
|
| 22911 |
\begin{align*}
3 y^{\prime } x +5 y&=10 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.227 |
|
| 22912 |
\begin{align*}
\frac {t}{\sqrt {t^{2}+y^{2}}}+\frac {y y^{\prime }}{\sqrt {t^{2}+y^{2}}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.230 |
|
| 22913 |
\begin{align*}
y^{2}-1+y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.231 |
|
| 22914 |
\begin{align*}
y^{\prime } x +x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.238 |
|
| 22915 |
\begin{align*}
y^{\prime }&=\frac {y+{\mathrm e}^{\frac {x +1}{x -1}} x^{3}+{\mathrm e}^{\frac {x +1}{x -1}} x y^{2}}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.245 |
|
| 22916 |
\begin{align*}
y^{\prime \prime }+\left (x^{n} a +2 b \right ) y^{\prime }+\left (a b \,x^{n}-a \,x^{n -1}+b^{2}\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
11.245 |
|
| 22917 |
\begin{align*}
y^{\prime } x +y&=y^{2} \ln \left (x \right ) \\
y \left (1\right ) &= {\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.245 |
|
| 22918 |
\begin{align*}
y^{\prime \prime }+\left (a x +b \right ) y^{\prime }+c \left (\left (a -c \right ) x^{2}+b x +1\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
11.246 |
|
| 22919 |
\begin{align*}
\left (1+{y^{\prime }}^{2}\right )^{{3}/{2}}&=r y^{\prime \prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.255 |
|
| 22920 |
\begin{align*}
y^{\prime }&=\sqrt {y^{2}-1} \\
y \left (0\right ) &= {\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.256 |
|
| 22921 |
\begin{align*}
\sqrt {-x^{2}+1}\, y^{2} y^{\prime }&=\arcsin \left (x \right ) \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.259 |
|
| 22922 |
\begin{align*}
\left (2 x +2 y+3\right ) y^{\prime }&=x +y+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.259 |
|
| 22923 |
\begin{align*}
y^{\prime }-2 \,{\mathrm e}^{x} y&=2 \sqrt {{\mathrm e}^{x} y} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
11.263 |
|
| 22924 |
\begin{align*}
\sqrt {y}+\left (x +1\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.265 |
|
| 22925 |
\begin{align*}
y^{\prime }&=\frac {x +y+1}{2 x +2 y-1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.265 |
|
| 22926 |
\begin{align*}
t^{2} i^{\prime \prime }+2 i^{\prime } t +i&=t \ln \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.267 |
|
| 22927 |
\begin{align*}
y^{3}+2 \left (x^{2}-x y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.272 |
|
| 22928 |
\begin{align*}
x^{\prime }&=\tan \left (x\right ) \\
x \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.279 |
|
| 22929 |
\begin{align*}
y^{\prime }&=f \left (x \right ) y^{2}-a \,{\mathrm e}^{\lambda x} f \left (x \right ) y+a \lambda \,{\mathrm e}^{\lambda x} \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
11.280 |
|
| 22930 |
\begin{align*}
y y^{\prime } x +x^{6}-2 y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.296 |
|
| 22931 |
\begin{align*}
y^{\prime \prime }-x^{2} y-x^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.299 |
|
| 22932 |
\begin{align*}
y^{\prime } x +y&=y^{2} x^{3} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.300 |
|
| 22933 |
\begin{align*}
x -2 y+3+\left (1-x +2 y\right ) y^{\prime }&=0 \\
y \left (-4\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.310 |
|
| 22934 |
\begin{align*}
y \sqrt {x^{2}+y^{2}}-x \left (x +\sqrt {x^{2}+y^{2}}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.314 |
|
| 22935 |
\begin{align*}
y^{\prime } x -y-x \sin \left (\frac {y}{x}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.320 |
|
| 22936 |
\begin{align*}
y^{\prime } x&=x^{2 n} f \left (x \right ) y^{2}+\left (a \,x^{n} f \left (x \right )-n \right ) y+f \left (x \right ) b \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.321 |
|
| 22937 |
\begin{align*}
y^{\prime }&=f^{\prime }\left (x \right ) y^{2}+a \,{\mathrm e}^{\lambda x} f \left (x \right ) y+a \,{\mathrm e}^{\lambda x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.322 |
|
| 22938 |
\begin{align*}
\left (y x +a \right ) y^{\prime }+b y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.324 |
|
| 22939 |
\begin{align*}
\left (x +y^{2}\right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.324 |
|
| 22940 |
\begin{align*}
\left (b +k^{2} \cos \left (x \right )^{2}\right ) y+a \cot \left (x \right ) y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
11.330 |
|
| 22941 |
\begin{align*}
y^{\prime }&=-\frac {16 x y^{3}-8 y^{3}-8 y+8 x y^{2}-2 x^{2} y^{3}-8+12 y x -6 y^{2} x^{2}+x^{3} y^{3}}{32 y x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.333 |
|
| 22942 |
\begin{align*}
\frac {\sqrt {f \,x^{4}+c \,x^{3}+c \,x^{2}+b x +a}\, y^{\prime }}{\sqrt {a +b y+c y^{2}+c y^{3}+f y^{4}}}&=-1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.334 |
|
| 22943 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime }-x^{2} y&=\left (x +1\right ) \sqrt {-x^{2}+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.336 |
|
| 22944 |
\begin{align*}
3 x^{2}+2 y^{2}+\left (4 y x +6 y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.338 |
|
| 22945 |
\begin{align*}
y^{\prime }&=f \left (x \right ) y^{2}-f \left (x \right ) g \left (x \right ) y+g^{\prime }\left (x \right ) \\
\end{align*} |
✓ |
✗ |
✗ |
✗ |
11.344 |
|
| 22946 |
\begin{align*}
y^{\prime } x +\cos \left (x^{2}\right )&=827 y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.346 |
|
| 22947 |
\begin{align*}
y^{\prime }+y^{3} \sec \left (x \right ) \tan \left (x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.355 |
|
| 22948 |
\begin{align*}
a x y y^{\prime }&=x^{2}+y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.355 |
|
| 22949 |
\begin{align*}
y^{\prime }&=x y^{3} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.363 |
|
| 22950 |
\begin{align*}
\left (x +y\right ) y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.372 |
|
| 22951 |
\begin{align*}
x^{2} \left (x^{2}+a \right ) \left (y^{\prime }+\lambda y^{2}\right )+x \left (b \,x^{2}+c \right ) y+s&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.382 |
|
| 22952 |
\begin{align*}
x^{\prime }&=x^{2}-t^{2} \\
x \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.388 |
|
| 22953 |
\begin{align*}
x^{2} y^{\prime }&=\frac {4 x^{2}-x -2}{\left (x +1\right ) \left (1+y\right )} \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.409 |
|
| 22954 |
\begin{align*}
x y^{2}+y-x +x \left (y x +1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.410 |
|
| 22955 |
\begin{align*}
3 \left (x^{2}-1\right ) y+\left (x^{3}+8 y-3 x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.413 |
|
| 22956 |
\begin{align*}
y^{\prime }&=2 t y^{2} \\
y \left (0\right ) &= y_{0} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.413 |
|
| 22957 |
\begin{align*}
x^{3} y^{\prime }&=\left (-1+y\right ) x^{2}+y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.414 |
|
| 22958 |
\begin{align*}
x^{2} y^{\prime }&=y^{2}+y x -x^{2} \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.415 |
|
| 22959 |
\begin{align*}
\sec \left (x \right ) \cos \left (y\right )^{2}&=\cos \left (x \right ) \sin \left (y\right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.430 |
|
| 22960 |
\begin{align*}
a y^{\prime \prime }-\left (a b +c +x \right ) y^{\prime }+\left (b \left (x +c \right )+d \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
11.431 |
|
| 22961 |
\begin{align*}
y^{\prime }&=\frac {x^{2}+y^{2}}{y x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.431 |
|
| 22962 |
\begin{align*}
x -y-2-\left (2 x -2 y-3\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.439 |
|
| 22963 |
\begin{align*}
4 x -y+\left (6 y-x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.441 |
|
| 22964 |
\begin{align*}
y^{\prime } \sqrt {-x^{2}+1}-\sqrt {1-y^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.441 |
|
| 22965 |
\begin{align*}
y^{\prime }&=\frac {\left ({\mathrm e}^{-\frac {y}{x}} y x +{\mathrm e}^{-\frac {y}{x}} y+{\mathrm e}^{-\frac {y}{x}} x^{2}+{\mathrm e}^{-\frac {y}{x}} x +x^{4}\right ) {\mathrm e}^{\frac {y}{x}}}{x \left (x +1\right )} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
11.443 |
|
| 22966 |
\begin{align*}
x^{2}+y^{2}-2 y y^{\prime } x&=0 \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.444 |
|
| 22967 |
\begin{align*}
x^{3}+y^{3}+y^{\prime } y^{2} x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.447 |
|
| 22968 |
\begin{align*}
4 y+3 \left (2 x -1\right ) \left (y^{\prime }+y^{4}\right )&=0 \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.454 |
|
| 22969 |
\begin{align*}
y y^{\prime }&=3 x \\
y \left (-2\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.455 |
|
| 22970 |
\begin{align*}
\left (1-y^{2}\right ) {y^{\prime }}^{2}&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.460 |
|
| 22971 |
\begin{align*}
{y^{\prime \prime }}^{2}&=a +b {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.469 |
|
| 22972 |
\begin{align*}
x^{2} y^{\prime }+x^{2}+y x +y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.471 |
|
| 22973 |
\begin{align*}
y \left (y^{3}-x \right )+x \left (y^{3}+x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.479 |
|
| 22974 |
\begin{align*}
\left (6 x -2 y\right ) y^{\prime }&=2+3 x -y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.488 |
|
| 22975 |
\begin{align*}
y^{\prime }-x^{a} y^{3}+3 y^{2}-x^{-a} y-x^{-2 a}+a \,x^{-a -1}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.490 |
|
| 22976 |
\begin{align*}
2 y^{\prime } x -y&=y^{\prime } \ln \left (y y^{\prime }\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.492 |
|
| 22977 |
\begin{align*}
\left (2 \sin \left (x \right )-\cos \left (x \right )\right ) y^{\prime \prime }+\left (7 \sin \left (x \right )+4 \cos \left (x \right )\right ) y^{\prime }+10 \cos \left (x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.493 |
|
| 22978 |
\begin{align*}
y^{\prime }&=-\frac {t}{y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.497 |
|
| 22979 |
\begin{align*}
y y^{\prime } x&=\sqrt {1+y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.507 |
|
| 22980 |
\begin{align*}
\frac {\ln \left (1+{y^{\prime }}^{2}\right )}{2}-\ln \left (y^{\prime }\right )-x +2&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.513 |
|
| 22981 |
\begin{align*}
y^{\prime } x +x -y+x \cos \left (\frac {y}{x}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.521 |
|
| 22982 |
\begin{align*}
y^{\prime }&=\frac {x}{y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.522 |
|
| 22983 |
\begin{align*}
\left (a +x \right ) y^{\prime }&=y \left (1-a y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.533 |
|
| 22984 |
\begin{align*}
y^{\prime }&=2 x y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.540 |
|
| 22985 |
\begin{align*}
y^{\prime \prime } x +\left (a x +b \right ) y^{\prime }+\left (c x +d \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
11.570 |
|
| 22986 |
\begin{align*}
\left (-2+2 y\right ) y^{\prime }&=2 x -1 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
11.572 |
|
| 22987 |
\begin{align*}
2 y^{\prime \prime }&=y \left (a -y^{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.574 |
|
| 22988 |
\begin{align*}
y^{\prime }&=\frac {y^{2}-4 t y+6 t^{2}}{t^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.574 |
|
| 22989 |
\begin{align*}
y^{\prime }&=-\frac {x +y}{3 x +3 y-4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.580 |
|
| 22990 |
\begin{align*}
y^{\prime }&=2 y-2 x^{2}-3 \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.584 |
|
| 22991 |
\begin{align*}
y^{\prime } x&=y-x \cos \left (\frac {y}{x}\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.585 |
|
| 22992 |
\begin{align*}
x y \left (x^{2}+1\right ) y^{\prime }-1-y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.585 |
|
| 22993 |
\begin{align*}
y^{\prime }&=\frac {x +y+4}{x +y-6} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.585 |
|
| 22994 |
\begin{align*}
y^{\prime \prime }+\left (a x +b \right ) y^{\prime }+\left (\alpha \,x^{2}+\beta x +\gamma \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
11.586 |
|
| 22995 |
\begin{align*}
x^{2} y^{3}+y&=\left (x^{3} y^{2}-x \right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.588 |
|
| 22996 |
\begin{align*}
y^{\prime }-\frac {y}{x}+\csc \left (\frac {y}{x}\right )&=0 \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.591 |
|
| 22997 |
\begin{align*}
2 x^{2} y^{\prime }+1+2 y x -y^{2} x^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.598 |
|
| 22998 |
\begin{align*}
\left (3+2 x +4 y\right ) y^{\prime }&=x +2 y+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.598 |
|
| 22999 |
\begin{align*}
y^{\prime }&=\frac {\sin \left (\frac {y}{x}\right ) \left (y+2 x^{3} \cos \left (\frac {y}{2 x}\right ) \sin \left (\frac {y}{2 x}\right )\right )}{2 \sin \left (\frac {y}{2 x}\right ) x \cos \left (\frac {y}{2 x}\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.605 |
|
| 23000 |
\begin{align*}
x -2 y+3&=\left (x -2 y+1\right ) y^{\prime } \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.608 |
|