| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 24501 |
\begin{align*}
y^{\prime }&=\frac {t +y+1}{t -y+3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.963 |
|
| 24502 |
\begin{align*}
y^{\prime \prime } x +\left (b -x \right ) y^{\prime }-a y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
11.976 |
|
| 24503 |
\begin{align*}
x^{2} y+y^{2}+x^{3} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.978 |
|
| 24504 |
\begin{align*}
x y \left (b \,x^{2}+a \right ) y^{\prime }&=A +B y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.984 |
|
| 24505 |
\begin{align*}
2 y^{2}-4 x +5&=\left (4-2 y+4 y x \right ) y^{\prime } \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
11.994 |
|
| 24506 |
\begin{align*}
\left (x^{2}-y^{2}\right ) y^{\prime }&=2 y x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.995 |
|
| 24507 |
\begin{align*}
y^{\prime }&=\frac {y}{x}+\tan \left (\frac {y}{x}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.997 |
|
| 24508 |
\begin{align*}
{y^{\prime \prime }}^{3}+y^{\prime \prime } x&=2 y^{\prime } \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
12.006 |
|
| 24509 |
\begin{align*}
x^{2}+y^{2}-y y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.010 |
|
| 24510 |
\begin{align*}
\left (5-2 x -y\right ) y^{\prime }+4-x -2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.014 |
|
| 24511 |
\begin{align*}
y^{\prime }&=y^{2}+a \,x^{n} y-a b \,x^{n}-b^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
12.024 |
|
| 24512 |
\begin{align*}
2 y^{\prime } x -y&=y^{\prime } \ln \left (y y^{\prime }\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
12.024 |
|
| 24513 |
\begin{align*}
2 \sqrt {t s}-s+t s^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.030 |
|
| 24514 |
\begin{align*}
y^{\prime }&=\frac {x +y+4}{x -y-6} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.033 |
|
| 24515 |
\begin{align*}
x^{\prime }+t x&={\mathrm e}^{x} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
12.033 |
|
| 24516 |
\begin{align*}
x \cos \left (\frac {y}{x}\right )^{2}-y+y^{\prime } x&=0 \\
y \left (1\right ) &= \frac {\pi }{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
12.034 |
|
| 24517 |
\begin{align*}
x^{2} y^{\prime \prime }-3 y^{\prime } x +3 y&=2 x^{4} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.042 |
|
| 24518 |
\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*} |
✓ |
✓ |
✓ |
✗ |
12.043 |
|
| 24519 |
\begin{align*}
y^{\prime }&=\frac {\left (x y^{2}+1\right )^{2}}{y x^{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
12.046 |
|
| 24520 |
\begin{align*}
y^{\prime }&=\frac {x +y}{x -y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.049 |
|
| 24521 |
\begin{align*}
x^{2}+y^{2}+2 y y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.069 |
|
| 24522 |
\begin{align*}
y^{\prime }&=\frac {\left (-2 y^{{3}/{2}}+3 \,{\mathrm e}^{x}\right )^{2} {\mathrm e}^{x}}{4 \sqrt {y}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
12.075 |
|
| 24523 |
\begin{align*}
\left (x +y\right ) y^{\prime }&=-x +y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.076 |
|
| 24524 |
\begin{align*}
1+2 y+\left (-x^{2}+4\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.077 |
|
| 24525 |
\begin{align*}
3 x^{2}+2 y x +4 y^{2}+\left (20 x^{2}+6 y x +y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.077 |
|
| 24526 |
\begin{align*}
y^{\prime }&=\frac {1+y}{2+x}-{\mathrm e}^{\frac {1+y}{2+x}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
12.080 |
|
| 24527 |
\begin{align*}
y^{\prime }&=\frac {150 x^{3}+125 \sqrt {x}+125+125 y^{2}-100 x^{3} y-500 \sqrt {x}\, y+20 x^{6}+200 x^{{7}/{2}}+500 x +125 y^{3}-150 x^{3} y^{2}-750 y^{2} \sqrt {x}+60 x^{6} y+600 y x^{{7}/{2}}+1500 y x -8 x^{9}-120 x^{{13}/{2}}-600 x^{4}-1000 x^{{3}/{2}}}{125 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
12.083 |
|
| 24528 |
\begin{align*}
\left (3 x^{2}-y^{2}\right ) y^{\prime }-2 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
12.085 |
|
| 24529 |
\begin{align*}
\left (x +2 y^{3}\right ) y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
12.085 |
|
| 24530 |
\begin{align*}
\frac {3 x^{2}+y^{2}}{y^{2}}-\frac {\left (2 x^{3}+5 y\right ) y^{\prime }}{y^{3}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
12.095 |
|
| 24531 |
\begin{align*}
y^{\prime }&=\frac {2 y^{6} \left (1+4 x y^{2}+y^{2}\right )}{y^{3}+4 x y^{5}+y^{5}+2+24 x y^{2}+96 x^{2} y^{4}+128 x^{3} y^{6}} \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
12.099 |
|
| 24532 |
\begin{align*}
\left (x -y\right ) y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.103 |
|
| 24533 |
\begin{align*}
y^{\prime \prime }+\left (a x +b \right ) y^{\prime }+c \left (-c \,x^{2 n}+a \,x^{n +1}+b \,x^{n}+n \,x^{n -1}\right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
12.106 |
|
| 24534 |
\begin{align*}
y+\sqrt {y x}-y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.110 |
|
| 24535 |
\begin{align*}
y&=\sin \left (y^{\prime }\right )-y^{\prime } \cos \left (y^{\prime }\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
12.111 |
|
| 24536 |
\begin{align*}
4 \left (x -1\right )^{2} y^{\prime }-3 \left (3+y\right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.115 |
|
| 24537 |
\begin{align*}
y^{\prime }&=\frac {2 x y}{x^{2}-y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.115 |
|
| 24538 |
\begin{align*}
a x y^{\prime }+2 y&=y y^{\prime } x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.119 |
|
| 24539 |
\begin{align*}
\left (x^{2}+y^{2}\right ) y^{\prime }-y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.122 |
|
| 24540 |
\begin{align*}
x^{2}+2 y^{2}+\left (4 y x -y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
12.125 |
|
| 24541 |
\begin{align*}
\frac {2 t^{2} y \cos \left (t^{2}\right )-y \sin \left (t^{2}\right )}{t^{2}}+\frac {\left (2 t y+\sin \left (t^{2}\right )\right ) y^{\prime }}{t}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
12.125 |
|
| 24542 |
\begin{align*}
y^{2}-2 y x +x^{2} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.128 |
|
| 24543 |
\begin{align*}
y^{\prime }&=1+\frac {y}{x}-\frac {y^{2}}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.136 |
|
| 24544 |
\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 \right ) {\mathrm e}^{\frac {y}{x}}}{x \left (x +1\right )} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
12.151 |
|
| 24545 |
\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*} |
✓ |
✓ |
✗ |
✗ |
12.155 |
|
| 24546 |
\begin{align*}
\left (1+{\mathrm e}^{-\frac {y}{x}}\right ) y^{\prime }+1-\frac {y}{x}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.176 |
|
| 24547 |
\begin{align*}
y&=\frac {2 a {y^{\prime }}^{2}}{\left (1+{y^{\prime }}^{2}\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.178 |
|
| 24548 |
\begin{align*}
\left (2 \sqrt {y x}-x \right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.180 |
|
| 24549 |
\begin{align*}
-y+y^{\prime } x&=\sqrt {y x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.186 |
|
| 24550 |
\begin{align*}
\left (7 x +5 y\right ) y^{\prime }+10 x +8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.187 |
|
| 24551 |
\begin{align*}
y^{\prime }&=3 x \left (-1+y\right )^{{1}/{3}} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.188 |
|
| 24552 |
\begin{align*}
y y^{\prime }&=t \\
y \left (2\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.193 |
|
| 24553 |
\begin{align*}
-p \left (1+p \right ) y+2 y^{\prime } x +\left (x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
12.200 |
|
| 24554 |
\begin{align*}
x^{2}+y^{2}-2 y y^{\prime } x&=0 \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.206 |
|
| 24555 |
\begin{align*}
y^{\prime }&=x \sqrt {y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.220 |
|
| 24556 |
\begin{align*}
2 y x +\left (x^{2}-y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.226 |
|
| 24557 |
\begin{align*}
\left (a \sin \left (x \right )^{2}+b \right ) y^{\prime }+a y \sin \left (2 x \right )+A x \left (a \sin \left (x \right )^{2}+c \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
12.227 |
|
| 24558 |
\begin{align*}
\left (5 x -2 y+7\right ) y^{\prime }&=10 x -4 y+6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.227 |
|
| 24559 |
\begin{align*}
\frac {x y^{\prime }}{y}&=\frac {2 y^{2}+1}{x +1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.227 |
|
| 24560 |
\begin{align*}
y y^{\prime } x -y^{2}&=x^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.248 |
|
| 24561 |
\begin{align*}
\left (x^{3}-y^{4}\right ) y^{\prime }&=3 x^{2} y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.249 |
|
| 24562 |
\begin{align*}
\frac {y^{\prime }}{y}-\frac {2 \ln \left (y\right )}{x}&=\frac {1-2 \ln \left (x \right )}{x} \\
y \left (1\right ) &= {\mathrm e} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.254 |
|
| 24563 |
\begin{align*}
\left (x -3 y+4\right ) y^{\prime }&=2 x -6 y+7 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.254 |
|
| 24564 |
\begin{align*}
y^{\prime \prime }+\left (a \,x^{n}+b \,x^{m}\right ) y^{\prime }+c \left (a \,x^{n}+b \,x^{m}-c \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
12.255 |
|
| 24565 |
\begin{align*}
y^{\prime }&=\frac {1}{x^{5}+y x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.260 |
|
| 24566 |
\begin{align*}
x +y y^{\prime }+x^{2} y^{\prime }-y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.266 |
|
| 24567 |
\begin{align*}
\frac {4 x^{3}}{y^{2}}+\frac {12}{y}+3 \left (\frac {x}{y^{2}}+4 y\right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
12.285 |
|
| 24568 |
\begin{align*}
y^{\prime }&=-\frac {x^{2}+y^{2}}{2 x y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.287 |
|
| 24569 |
\begin{align*}
\left (a b x +a n +b m \right ) y+\left (m +n +\left (a +b \right ) x \right ) y^{\prime }+y^{\prime \prime } x&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
12.290 |
|
| 24570 |
\begin{align*}
y&=3 y^{\prime } x -7 {y^{\prime }}^{3} \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
12.291 |
|
| 24571 |
\begin{align*}
y y^{\prime \prime }&=y^{3}+{y^{\prime }}^{2} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
12.295 |
|
| 24572 |
\begin{align*}
x^{\prime }&=x-y \\
y^{\prime }&=x+2 z \\
z^{\prime }&=z-x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
12.296 |
|
| 24573 |
\begin{align*}
y^{\prime }&=\frac {-30 x^{3} y+12 x^{6}+70 x^{{7}/{2}}-30 x^{3}-25 \sqrt {x}\, y+50 x -25 \sqrt {x}-25}{5 \left (-5 y+2 x^{3}+10 \sqrt {x}-5\right ) x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
12.299 |
|
| 24574 |
\begin{align*}
y^{\prime }+\frac {x y}{a^{2}+x^{2}}&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.303 |
|
| 24575 |
\begin{align*}
y^{\prime }&=\frac {x^{3} y+x^{3}+x y^{2}+y^{3}}{\left (x -1\right ) x^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.306 |
|
| 24576 |
\begin{align*}
x^{\prime \prime }&=x-x^{3} \\
x \left (0\right ) &= \frac {\sqrt {2}}{2} \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
12.310 |
|
| 24577 |
\begin{align*}
2 y y^{\prime } x&=x^{2}+y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.313 |
|
| 24578 |
\begin{align*}
\left (2 x -2 y+5\right ) y^{\prime }&=x -y+3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.319 |
|
| 24579 |
\begin{align*}
x^{\prime }&=x-\frac {\mu x}{x^{2}+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.322 |
|
| 24580 |
\begin{align*}
y^{\prime }&=\frac {y^{3}+2 x y^{2}+x^{2} y+x^{3}}{x \left (x +y\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
12.329 |
|
| 24581 |
\begin{align*}
y^{\prime }&=y^{2}-4 \\
y \left (\frac {1}{4}\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
12.332 |
|
| 24582 |
\begin{align*}
y^{3} y^{\prime \prime }-a&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.332 |
|
| 24583 |
\begin{align*}
y^{\prime }&=y^{2}+a^{2} f \left (a x +b \right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
12.335 |
|
| 24584 |
\begin{align*}
y^{\prime }&=a \,x^{n} y^{2}-a \,x^{n} \left (b \,x^{m}+c \right ) y+b m \,x^{m -1} \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
12.336 |
|
| 24585 |
\begin{align*}
y^{\prime }&=\frac {y}{x}-\tan \left (\frac {y}{x}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.342 |
|
| 24586 |
\begin{align*}
t^{2} y^{\prime }+2 t y-y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.347 |
|
| 24587 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +y&=\ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.349 |
|
| 24588 |
\begin{align*}
y^{\prime \prime }+{y^{\prime }}^{2}+y^{\prime }&=0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.355 |
|
| 24589 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y^{\prime } x +2 y&=x \,{\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
12.362 |
|
| 24590 |
\begin{align*}
y^{\prime }+\sqrt {\frac {1-y^{2}}{-x^{2}+1}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.363 |
|
| 24591 |
\begin{align*}
y^{\prime }&=\frac {2 x^{2}-4 x^{3} y+1+y^{2} x^{4}+x^{6} y^{3}-3 x^{5} y^{2}+3 x^{4} y-x^{3}}{x^{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
12.364 |
|
| 24592 |
\begin{align*}
\left (c \,x^{4}+b \,x^{2}+a \right ) y+x^{3} y^{\prime }+x^{4} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
12.371 |
|
| 24593 |
\begin{align*}
y^{\prime } x&=y-\sqrt {x^{2}+y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.375 |
|
| 24594 |
\begin{align*}
x^{2} y^{\prime \prime }-4 y^{\prime } x +6 y&=x^{4} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.395 |
|
| 24595 |
\begin{align*}
y^{\prime }&=4 \sqrt {y x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.395 |
|
| 24596 |
\begin{align*}
y^{\prime }&=\frac {x \left (x +2 \sqrt {x^{3}-6 y}\right )}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
12.401 |
|
| 24597 |
\begin{align*}
2 x -2 y+\left (-1+y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.411 |
|
| 24598 |
\begin{align*}
y^{\prime }&=\frac {x -2 y}{2 x -y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.414 |
|
| 24599 |
\begin{align*}
y^{\prime }&=-\frac {4 x +2 y}{2 x +3 y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
12.428 |
|
| 24600 |
\begin{align*}
y^{\prime }&=t^{m} y^{n} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
12.447 |
|