| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 25501 |
\begin{align*}
y+x \left (1+2 y x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.783 |
|
| 25502 |
\begin{align*}
y^{\prime \prime }&=6 y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.791 |
|
| 25503 |
\begin{align*}
y^{\prime } \sqrt {-x^{2}+1}-\sqrt {1-y^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.822 |
|
| 25504 |
\begin{align*}
y^{\prime }&=\frac {1}{y+\sqrt {x}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.837 |
|
| 25505 |
\begin{align*}
\left (y^{\prime }+1\right )^{3}&=\frac {7 \left (x +y\right ) \left (1-y^{\prime }\right )^{3}}{4 a} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.838 |
|
| 25506 |
\begin{align*}
2 y^{2}-4 x +5&=\left (4-2 y+4 y x \right ) y^{\prime } \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
23.849 |
|
| 25507 |
\begin{align*}
x y^{\prime \prime }+\left (a \,x^{n}+b \,x^{n -1}+2\right ) y^{\prime }+b \,x^{-2+n} y&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
23.855 |
|
| 25508 |
\begin{align*}
x^{{3}/{2}} y^{\prime \prime }&=f \left (\frac {y}{\sqrt {x}}\right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
23.861 |
|
| 25509 |
\begin{align*}
\theta ^{\prime }&=\frac {9}{10}-\frac {11 \cos \left (\theta \right )}{10} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.875 |
|
| 25510 |
\begin{align*}
y^{\prime }&=\frac {-6 x +y-3}{2 x -y-1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.878 |
|
| 25511 |
\begin{align*}
6 y-5 y^{\prime }+y^{\prime \prime }&=2 \,{\mathrm e}^{-2 x} \left (9 \sin \left (2 x \right )+4 \cos \left (2 x \right )\right ) \\
y \left (\infty \right ) &= 0 \\
\end{align*} |
✗ |
✓ |
✗ |
✓ |
23.891 |
|
| 25512 |
\begin{align*}
y^{\prime }&=a y^{2}+b \,{\mathrm e}^{\lambda x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.894 |
|
| 25513 |
\begin{align*}
x \left (2 x +3 y\right ) y^{\prime }+3 \left (x +y\right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.895 |
|
| 25514 |
\begin{align*}
y {y^{\prime }}^{2}-4 a^{2} x y^{\prime }+a^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.902 |
|
| 25515 |
\begin{align*}
\frac {2 x}{y^{3}}+\frac {\left (y^{2}-3 x^{2}\right ) y^{\prime }}{y^{4}}&=0 \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
23.904 |
|
| 25516 |
\begin{align*}
\theta ^{\prime }&=\frac {9}{10}-\frac {11 \cos \left (\theta \right )}{10} \\
\theta \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
23.905 |
|
| 25517 |
\begin{align*}
{y^{\prime }}^{2}-2 y y^{\prime }-2 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.918 |
|
| 25518 |
\begin{align*}
y^{\prime }&=\sqrt {\frac {y}{t}} \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.931 |
|
| 25519 |
\begin{align*}
y^{\prime }+x \sin \left (2 y\right )&=2 x \,{\mathrm e}^{-x^{2}} \cos \left (y\right )^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
23.944 |
|
| 25520 |
\begin{align*}
y^{\prime }&=\frac {x^{2}+y^{2}}{x^{2}-y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.948 |
|
| 25521 |
\begin{align*}
y^{\prime }&=\left (1+4 x +9 y\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.953 |
|
| 25522 |
\begin{align*}
x +y+\left (x -y\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.953 |
|
| 25523 |
\begin{align*}
\left (2 x^{2}+3 y^{2}\right ) y^{\prime }+x \left (3 x +y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.954 |
|
| 25524 |
\begin{align*}
y^{\prime \prime }-y&=1 \\
y \left (\infty \right ) &= y_{0} \\
\end{align*} |
✗ |
✓ |
✗ |
✓ |
23.957 |
|
| 25525 |
\begin{align*}
y^{\prime }&=-\frac {1+{\mathrm e}^{y t} y}{2 y+{\mathrm e}^{y t} t} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.996 |
|
| 25526 |
\begin{align*}
x \left (x -2 y\right ) y^{\prime }+x^{2}+2 y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.999 |
|
| 25527 |
\begin{align*}
x^{2} y^{\prime \prime }-3 x y^{\prime }+5 y&=3 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.019 |
|
| 25528 |
\begin{align*}
y^{\prime }&=\frac {\left (x -3 y-5\right )^{2}}{\left (x +y-1\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.027 |
|
| 25529 |
\begin{align*}
\left (x -y\right ) y^{\prime }&=y \left (1+2 y x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.034 |
|
| 25530 |
\begin{align*}
x^{2} y^{n} y^{\prime }&=2 x y^{\prime }-y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.056 |
|
| 25531 |
\begin{align*}
y^{\prime }&=x^{2}+y^{2}-1 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✓ |
✗ |
24.063 |
|
| 25532 |
\begin{align*}
1+{\mathrm e}^{\frac {x}{y}}+{\mathrm e}^{\frac {x}{y}} \left (1-\frac {x}{y}\right ) y^{\prime }&=0 \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.073 |
|
| 25533 |
\begin{align*}
x^{\prime }+5 x&=10 t +2 \\
x \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.079 |
|
| 25534 |
\begin{align*}
x^{\prime }&=\frac {t^{2}+x^{2}}{2 x t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.088 |
|
| 25535 |
\begin{align*}
x^{2}+2 y^{2}+\left (4 y x -y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.094 |
|
| 25536 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=4 \,{\mathrm e}^{-x} \\
y \left (\infty \right ) &= 0 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
24.101 |
|
| 25537 |
\begin{align*}
x +y+\left (x -y-2\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.181 |
|
| 25538 |
\begin{align*}
y^{\prime }&=-\sin \left (2 x -y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.191 |
|
| 25539 |
\begin{align*}
y-2-\left (x -y-1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.196 |
|
| 25540 |
\begin{align*}
x y^{\prime }&=y+\sqrt {x^{2}+y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.208 |
|
| 25541 |
\begin{align*}
x^{n} y^{n +1}+a y+\left (x^{n +1} y^{n}+b x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.211 |
|
| 25542 |
\begin{align*}
5 x +2 y+1+\left (2 x +y+1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.212 |
|
| 25543 |
\begin{align*}
y^{\prime }&=x^{2}+y^{2}-1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.213 |
|
| 25544 |
\begin{align*}
x \left (x +2 y-1\right ) y^{\prime }-\left (2 x +y+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.213 |
|
| 25545 |
\begin{align*}
\left (\frac {\operatorname {e1} \left (x +a \right )}{\left (\left (x +a \right )^{2}+y^{2}\right )^{{3}/{2}}}+\frac {\operatorname {e2} \left (x -a \right )}{\left (\left (x -a \right )^{2}+y^{2}\right )^{{3}/{2}}}\right ) y^{\prime }-y \left (\frac {\operatorname {e1}}{\left (\left (x +a \right )^{2}+y^{2}\right )^{{3}/{2}}}+\frac {\operatorname {e2}}{\left (\left (x -a \right )^{2}+y^{2}\right )^{{3}/{2}}}\right )&=0 \\
\end{align*} |
✓ |
✗ |
✗ |
✗ |
24.221 |
|
| 25546 |
\begin{align*}
y^{\prime }-\sqrt {\frac {y^{4} a +b y^{2}+1}{a \,x^{4}+b \,x^{2}+1}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.225 |
|
| 25547 |
\begin{align*}
y^{\prime }&=\frac {4 x^{3} y^{2}-3 x^{2} y}{x^{3}-2 x^{4} y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.229 |
|
| 25548 |
\begin{align*}
y+2 \sqrt {t^{2}+y^{2}}-t y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.272 |
|
| 25549 |
\begin{align*}
3 x^{2} y+y^{3}+\left (x^{3}+3 x y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.286 |
|
| 25550 |
\begin{align*}
x^{\prime }&=\frac {x^{2}+t \sqrt {t^{2}+x^{2}}}{x t} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.296 |
|
| 25551 |
\begin{align*}
y^{\prime }&=\left (\lambda +a \cos \left (\lambda x \right )^{2}\right ) y^{2}+\lambda -a +a \cos \left (\lambda x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.298 |
|
| 25552 |
\begin{align*}
y^{\prime }&=\frac {2+y \,{\mathrm e}^{y x}}{2 y-x \,{\mathrm e}^{y x}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.299 |
|
| 25553 |
\begin{align*}
a {y^{\prime }}^{2}-y y^{\prime }-x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.312 |
|
| 25554 |
\begin{align*}
2 y x +\left (x^{2}-y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.324 |
|
| 25555 |
\begin{align*}
x y^{\prime }&=y+\sqrt {y^{2}-x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.330 |
|
| 25556 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{x^{{1}/{3}}}+\left (\frac {1}{4 x^{{2}/{3}}}-\frac {1}{6 x^{{1}/{3}}}-\frac {6}{x^{2}}\right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
24.334 |
|
| 25557 |
\begin{align*}
2 \sqrt {y x}-y-x y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.336 |
|
| 25558 |
\begin{align*}
6 x y^{2}+2 y+\left (12 x^{2} y+6 x +3\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.337 |
|
| 25559 |
\begin{align*}
x \left (x^{4}-2 y^{3}\right ) y^{\prime }+\left (2 x^{4}+y^{3}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.353 |
|
| 25560 |
\begin{align*}
y^{\prime }&=-4 \sin \left (x -y\right )-4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.362 |
|
| 25561 |
\begin{align*}
x \left (6 x^{2}+14 y^{2}\right )+y \left (13 x^{2}+30 y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.363 |
|
| 25562 |
\begin{align*}
2 x -y+\left (-x +2 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.365 |
|
| 25563 |
\begin{align*}
y^{\prime }&=\lambda \arccos \left (x \right )^{n} y^{2}+a y+a b -b^{2} \lambda \arccos \left (x \right )^{n} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.370 |
|
| 25564 |
\begin{align*}
y y^{\prime }+x&=a {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.375 |
|
| 25565 |
\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*} |
✗ |
✓ |
✓ |
✗ |
24.414 |
|
| 25566 |
\begin{align*}
y \left (2 x -y-1\right )+x \left (2 y-x -1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.423 |
|
| 25567 |
\begin{align*}
y \left (x +y^{2}\right )+x \left (x -y^{2}\right ) y^{\prime }&=0 \\
y \left (2\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
24.454 |
|
| 25568 |
\begin{align*}
y^{\prime }&=\frac {\left (\sqrt {y x +1}-1\right )^{2}}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.460 |
|
| 25569 |
\begin{align*}
x^{2}-y x +y^{2}-x y y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.475 |
|
| 25570 |
\begin{align*}
2 x -2 y-8+\left (x -3 y-6\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.506 |
|
| 25571 |
\begin{align*}
y^{\prime }+\frac {y \ln \left (y\right )}{x}&=\frac {y}{x^{2}}-\ln \left (y\right )^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
24.520 |
|
| 25572 |
\begin{align*}
y^{\prime \prime }&=\frac {1}{\sqrt {a y}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.520 |
|
| 25573 |
\begin{align*}
y^{\prime \prime }&=a \sqrt {1+{y^{\prime }}^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.566 |
|
| 25574 |
\begin{align*}
a^{3} y^{\prime \prime \prime } y^{\prime \prime }&=\sqrt {1+c^{2} {y^{\prime \prime }}^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.574 |
|
| 25575 |
\begin{align*}
y x +y^{2}+\left (x^{2}-y x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.576 |
|
| 25576 |
\begin{align*}
\left (7 x +5 y\right ) y^{\prime }+10 x +8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.580 |
|
| 25577 |
\begin{align*}
y^{\prime }&=3-\sin \left (y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.619 |
|
| 25578 |
\begin{align*}
x^{\prime }&=\frac {2 x y +x^{2}}{3 y^{2}+2 x y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.655 |
|
| 25579 |
\begin{align*}
y^{\prime } \ln \left (y^{\prime }+\sqrt {1+{y^{\prime }}^{2}}\right )-\sqrt {1+{y^{\prime }}^{2}}-x y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.658 |
|
| 25580 |
\begin{align*}
\left (x^{2}-4 y^{2}\right ) {y^{\prime }}^{2}+6 x y y^{\prime }-4 x^{2}+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.661 |
|
| 25581 |
\begin{align*}
y^{\prime }&=\frac {y \left (x^{3}+x^{2} y+y^{2}\right )}{x^{2} \left (x -1\right ) \left (x +y\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.663 |
|
| 25582 |
\begin{align*}
x -y \arctan \left (\frac {y}{x}\right )+x \arctan \left (\frac {y}{x}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.667 |
|
| 25583 |
\begin{align*}
y^{\prime }&=\frac {1}{\sqrt {x^{2}+4 y^{2}-4}} \\
y \left (3\right ) &= 2 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
24.682 |
|
| 25584 |
\begin{align*}
x y^{\prime }&=y-\sqrt {x^{2}+y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.693 |
|
| 25585 |
\begin{align*}
y^{\prime }&=\frac {6 x^{2}-7 y^{2}}{14 y x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.695 |
|
| 25586 |
\begin{align*}
3 x y^{2}+2+2 x^{2} y y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.705 |
|
| 25587 |
\begin{align*}
x \left (a +x y^{n}\right ) y^{\prime }+b y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.711 |
|
| 25588 |
\begin{align*}
\left (x -2 y\right ) y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.723 |
|
| 25589 |
\begin{align*}
\left (\operatorname {a2} x +\operatorname {b2} \right ) y^{\prime \prime }+\left (\operatorname {a1} x +\operatorname {b1} \right ) y^{\prime }+\left (\operatorname {a0} x +\operatorname {b0} \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
24.736 |
|
| 25590 |
\begin{align*}
\left (\sin \left (\frac {y}{x}\right ) y-x \cos \left (\frac {y}{x}\right )\right ) x y^{\prime }-\left (x \cos \left (\frac {y}{x}\right )+\sin \left (\frac {y}{x}\right ) y\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.756 |
|
| 25591 |
\begin{align*}
x y \left (x^{2}+1\right ) y^{\prime }-y^{2}&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.758 |
|
| 25592 |
\begin{align*}
y+2 \left (x -2 y^{2}\right ) y^{\prime }&=0 \\
y \left (2\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.763 |
|
| 25593 |
\begin{align*}
x \sin \left (\frac {y}{x}\right ) y^{\prime }&=\sin \left (\frac {y}{x}\right ) y+x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.771 |
|
| 25594 |
\begin{align*}
x -3 y+3+\left (3 x +y+9\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.778 |
|
| 25595 |
\begin{align*}
-y+2 \tan \left (x \right ) y^{\prime }+y^{\prime \prime }&=\left (x +1\right ) \sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.802 |
|
| 25596 |
\begin{align*}
x \left (\left (x^{2}+y^{2}\right )^{{3}/{2}}+2 y^{2}\right )+y \left (\left (x^{2}+y^{2}\right )^{{3}/{2}}-2 x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.812 |
|
| 25597 |
\begin{align*}
y^{\prime }&=3 y^{{2}/{3}} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.825 |
|
| 25598 |
\begin{align*}
\left (1+5 x -y\right ) y^{\prime }+5+x -5 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.890 |
|
| 25599 |
\begin{align*}
x^{3} y^{\prime \prime }-\left (x^{2}-1\right ) y^{\prime }+y x&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
24.910 |
|
| 25600 |
\begin{align*}
\left (x -y\right ) y^{\prime }&=x +y+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.910 |
|