| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 26301 |
\begin{align*}
x -y+\left (3 x +y\right ) y^{\prime }&=0 \\
y \left (2\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
78.276 |
|
| 26302 |
\begin{align*}
y^{\prime }-2 y x +y^{2}&=-x^{2}+5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
78.339 |
|
| 26303 |
\begin{align*}
y^{\prime }&=\frac {6 x^{2}-5 y x -2 y^{2}}{6 x^{2}-8 y x +y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
78.349 |
|
| 26304 |
\begin{align*}
y^{\prime }+\sqrt {y}&=3 x \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
78.398 |
|
| 26305 |
\begin{align*}
3 y y^{\prime } y^{\prime \prime }&=-1+{y^{\prime }}^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
78.421 |
|
| 26306 |
\begin{align*}
2 x^{2} y+y^{3}-x^{3} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
78.564 |
|
| 26307 |
\begin{align*}
\left (-x^{2}+1\right ) \eta ^{\prime \prime }-\left (x +1\right ) \eta ^{\prime }+\left (1+k \right ) \eta &=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
78.669 |
|
| 26308 |
\begin{align*}
x^{3} y^{\prime }&=a \,x^{3} y^{2}+\left (b \,x^{2}+c \right ) y+s x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
78.680 |
|
| 26309 |
\begin{align*}
y^{\prime }&=-\frac {y \left (2 x +y\right )}{x \left (x +2 y\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
78.688 |
|
| 26310 |
\begin{align*}
y^{\prime }&=\frac {x +y+4}{x -y-6} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
78.750 |
|
| 26311 |
\begin{align*}
\left (1+y^{\prime }\right ) \ln \left (\frac {x +y}{x +3}\right )&=\frac {x +y}{x +3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
78.991 |
|
| 26312 |
\begin{align*}
w^{\prime }&=-\frac {1}{2}-\frac {\sqrt {1-12 w}}{2} \\
w \left (1\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
78.996 |
|
| 26313 |
\begin{align*}
y^{\prime }&=\frac {y^{3} x \,{\mathrm e}^{3 x^{2}} {\mathrm e}^{-\frac {9 x^{2}}{2}}}{9 \,{\mathrm e}^{\frac {3 x^{2}}{2}}+3 \,{\mathrm e}^{\frac {3 x^{2}}{2}} y+9 y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
79.120 |
|
| 26314 |
\begin{align*}
y^{\prime }&=\frac {\left (2 y \ln \left (x \right )-1\right )^{3}}{\left (-1+2 y \ln \left (x \right )-y\right ) x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
79.124 |
|
| 26315 |
\begin{align*}
2 x^{2} y+3 y^{3}-\left (x^{3}+2 x y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
79.145 |
|
| 26316 |
\begin{align*}
y^{\prime }&=x^{2}-y^{2} \\
y \left (3\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
79.145 |
|
| 26317 |
\begin{align*}
2 y y^{\prime }+2 x +x^{2}+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
79.171 |
|
| 26318 |
\begin{align*}
\left (x +1\right ) \left (y y^{\prime }-1\right )&=y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
79.336 |
|
| 26319 |
\begin{align*}
y^{\prime }&=2 \sqrt {y} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
79.485 |
|
| 26320 |
\begin{align*}
y^{\prime }&=6 \sqrt {y}+5 x^{3} \\
y \left (-1\right ) &= 4 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
79.575 |
|
| 26321 |
\begin{align*}
12 x^{3} y+24 y^{2} x^{2}+\left (9 x^{4}+32 x^{3} y+4 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
79.629 |
|
| 26322 |
\begin{align*}
4+\left (x -y+2\right )^{2} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
79.668 |
|
| 26323 |
\begin{align*}
x^{n} y^{\prime \prime }+\left (a \,x^{n}-x^{n -1}+a b x +b \right ) y^{\prime }+a^{2} b x y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
79.670 |
|
| 26324 |
\begin{align*}
y y^{\prime }-y&=\frac {\left (2 m +1\right ) x}{4 m^{2}}+\frac {A}{x}-\frac {A^{2}}{x^{3}} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
79.763 |
|
| 26325 |
\begin{align*}
y^{\prime }&=\frac {x -y}{x +y} \\
y \left (1\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
79.780 |
|
| 26326 |
\begin{align*}
x^{2}+2 y x -y^{2}+\left (y^{2}+2 y x -x^{2}\right ) y^{\prime }&=0 \\
y \left (1\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
79.864 |
|
| 26327 |
\begin{align*}
\left (a x +b \right ) y^{\prime \prime }+s \left (c x +d \right ) y^{\prime }-s^{2} \left (\left (a +c \right ) x +b +d \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
79.864 |
|
| 26328 |
\begin{align*}
y y^{\prime \prime }-{y^{\prime }}^{2}-1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
79.870 |
|
| 26329 |
\begin{align*}
\left (a_{2} +b_{2} x +c_{2} y\right ) y^{\prime }&=a_{1} +b_{1} x +c_{1} y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
79.984 |
|
| 26330 |
\begin{align*}
\frac {8 x^{4} y+12 x^{3} y^{2}+2}{2 x +3 y}+\frac {\left (2 x^{5}+3 x^{4} y+3\right ) y^{\prime }}{1+x^{2} y^{4}}&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
80.013 |
|
| 26331 |
\begin{align*}
y y^{\prime } x +x^{2}+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
80.096 |
|
| 26332 |
\begin{align*}
3 y-7 x +7+\left (7 y-3 x +3\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
80.125 |
|
| 26333 |
\begin{align*}
y^{2}-x^{2}-2 y y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
80.217 |
|
| 26334 |
\begin{align*}
v \left (3 x +2 v\right )-x^{2} v^{\prime }&=0 \\
v \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
80.262 |
|
| 26335 |
\begin{align*}
y^{2}+2 x^{2} y+\left (2 x^{3}-y x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
80.293 |
|
| 26336 |
\begin{align*}
y&=\frac {k \left (x +y y^{\prime }\right )}{\sqrt {1+{y^{\prime }}^{2}}} \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
80.321 |
|
| 26337 |
\begin{align*}
2 y y^{\prime } x^{3}+3 y^{2} x^{2}+7&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
80.420 |
|
| 26338 |
\begin{align*}
S^{\prime }&=S^{3}-2 S^{2}+S \\
S \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
80.434 |
|
| 26339 |
\begin{align*}
b y+a x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
80.437 |
|
| 26340 |
\begin{align*}
\left (-1+x \right ) \left (y^{2}-y+1\right )&=\left (1+y\right ) \left (x^{2}+x +1\right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
80.478 |
|
| 26341 |
\begin{align*}
y^{\prime }&=\frac {2 x +7 y}{2 x -2 y} \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
80.521 |
|
| 26342 |
\begin{align*}
y^{\prime }&=\frac {\sqrt {x^{2}+y^{2}}-x}{y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
80.680 |
|
| 26343 |
\begin{align*}
\left (x^{2} y-1\right ) y^{\prime }+8 x y^{2}-8&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
80.703 |
|
| 26344 |
\begin{align*}
\left (-x^{2}+1\right ) z^{\prime \prime }+\left (1-3 x \right ) z^{\prime }+k z&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
80.714 |
|
| 26345 |
\begin{align*}
x^{2} \left (x +1\right ) y^{\prime \prime }+x \left (4 x +3\right ) y^{\prime }-y&=x +\frac {1}{x} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
80.773 |
|
| 26346 |
\begin{align*}
x^{2}+6 y^{2}-4 y y^{\prime } x&=0 \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
80.893 |
|
| 26347 |
\begin{align*}
2 x^{2}+2 y x +y^{2}+\left (x^{2}+2 y x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
80.935 |
|
| 26348 |
\begin{align*}
t^{2} y^{\prime \prime }+3 y^{\prime } t -4 y&=t^{4} \\
y \left (-1\right ) &= y_{1} \\
y^{\prime }\left (-1\right ) &= y_{1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
80.974 |
|
| 26349 |
\begin{align*}
2 y \ln \left (x \right ) \ln \left (y\right )+x \left (\ln \left (x \right )^{2}+\ln \left (y\right )^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
81.058 |
|
| 26350 |
\begin{align*}
y^{\prime }&=\frac {2 x \ln \left (\frac {1}{-1+x}\right )-\coth \left (\frac {x +1}{-1+x}\right )+\coth \left (\frac {x +1}{-1+x}\right ) y^{2}-2 \coth \left (\frac {x +1}{-1+x}\right ) x^{2} y+\coth \left (\frac {x +1}{-1+x}\right ) x^{4}}{\ln \left (\frac {1}{-1+x}\right )} \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
81.069 |
|
| 26351 |
\begin{align*}
\left (x +y\right ) y^{\prime }&=y \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
81.114 |
|
| 26352 |
\begin{align*}
y y^{\prime }&=-x \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
81.240 |
|
| 26353 |
\begin{align*}
\left (x^{2}-y\right ) y^{\prime }-4 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
81.323 |
|
| 26354 |
\begin{align*}
x \left (x^{2}-1\right ) y^{\prime \prime }+\left (3 x^{2}-1\right ) y^{\prime }+y x&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
81.352 |
|
| 26355 |
\begin{align*}
y^{\prime } x&=y+\sqrt {y^{2}-x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
81.378 |
|
| 26356 |
\begin{align*}
3 x^{2}+6 x y^{2}+\left (6 x^{2}+4 y^{3}\right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
81.386 |
|
| 26357 |
\begin{align*}
x +2 y-4-\left (-5+2 x +y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
81.406 |
|
| 26358 |
\begin{align*}
y^{2}&=\left (y y^{\prime } x +1\right ) \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
81.452 |
|
| 26359 |
\begin{align*}
y y^{\prime } x +1+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
81.502 |
|
| 26360 |
\begin{align*}
y+\sqrt {y x}-y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
81.547 |
|
| 26361 |
\begin{align*}
3 y-7 x +7&=\left (3 x -7 y-3\right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
81.576 |
|
| 26362 |
\begin{align*}
2 y^{\prime \prime } x +x^{2} y^{\prime }-\sin \left (x \right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
81.600 |
|
| 26363 |
\begin{align*}
y \sqrt {x^{2}+y^{2}}-x \left (x +\sqrt {x^{2}+y^{2}}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
81.642 |
|
| 26364 |
\begin{align*}
\left (x^{2}+y^{2}\right ) \left (y^{\prime } x +y\right )&=x y \left (-y+y^{\prime } x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
81.690 |
|
| 26365 |
\begin{align*}
y^{\prime } x -y+y^{2}&=x^{{2}/{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
81.742 |
|
| 26366 |
\begin{align*}
-y^{\prime } x +y&=x^{2} y y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
81.767 |
|
| 26367 |
\begin{align*}
y^{\prime }&=-\frac {y}{x}+y^{{1}/{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
81.784 |
|
| 26368 |
\begin{align*}
y^{\prime }+\frac {y}{x +1}&=-\frac {\left (x +1\right )^{3} y^{3}}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
81.804 |
|
| 26369 |
\begin{align*}
x \left (-1+x \right ) y^{\prime \prime }+\left (a x +b \right ) y^{\prime }+c y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
81.841 |
|
| 26370 |
\begin{align*}
\cos \left (x \right ) y+\left (2 y-\sin \left (x \right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
81.890 |
|
| 26371 |
\begin{align*}
\frac {\sin \left (2 x \right )}{y}+x +\left (y-\frac {\sin \left (x \right )^{2}}{y^{2}}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
81.950 |
|
| 26372 |
\begin{align*}
y^{\prime }+\frac {y \ln \left (y\right )}{x}&=\frac {y}{x^{2}}-\ln \left (y\right )^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
82.006 |
|
| 26373 |
\begin{align*}
y^{\prime }+\cot \left (x \right ) y&=y^{4} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
82.036 |
|
| 26374 |
\begin{align*}
y^{\prime } x&=y-{\mathrm e}^{\frac {y}{x}} x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
82.054 |
|
| 26375 |
\begin{align*}
x {y^{\prime }}^{2}+y y^{\prime }-x^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
82.139 |
|
| 26376 |
\begin{align*}
\left (-k +p \right ) \left (1+k +p \right ) y+\left (1+k \right ) \left (1-2 x \right ) y^{\prime }+\left (1-x \right ) x y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
82.145 |
|
| 26377 |
\begin{align*}
x \left (x +1\right ) y^{\prime \prime }+\left (a x +b \right ) y^{\prime }+c y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
82.253 |
|
| 26378 |
\begin{align*}
x^{2}+2 y x -4 y^{2}-\left (x^{2}-8 y x -4 y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
82.279 |
|
| 26379 |
\begin{align*}
y^{\prime }&=\frac {x -y}{x +y+2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
82.287 |
|
| 26380 |
\begin{align*}
y^{\prime }&=y^{{2}/{3}} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
82.349 |
|
| 26381 |
\begin{align*}
\left (x +y+1\right ) y^{\prime }+1+4 x +3 y&=0 \\
y \left (3\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
82.428 |
|
| 26382 |
\begin{align*}
3 x +2 y+1-\left (3 x +2 y-1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
82.487 |
|
| 26383 |
\begin{align*}
R^{\prime \prime }&=-\frac {k}{R^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
82.610 |
|
| 26384 |
\begin{align*}
x^{2} y^{\prime \prime }-y^{\prime } x +2 y&=\ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
82.715 |
|
| 26385 |
\begin{align*}
2+y^{2}-\left (y x +2 y+y^{3}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
82.717 |
|
| 26386 |
\begin{align*}
x^{3}+2 x y^{2}-x +\left (x^{2} y+2 y^{3}-2 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
82.756 |
|
| 26387 |
\begin{align*}
x^{2} y^{\prime }+y^{2}&=y y^{\prime } x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
82.931 |
|
| 26388 |
\begin{align*}
y^{\prime \prime } x +\left (x^{n} a b +b \,x^{n -1}+a x -1\right ) y^{\prime }+a^{2} b \,x^{n} y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
83.094 |
|
| 26389 |
\begin{align*}
\left (y^{\prime } x +y\right )^{2}&=y^{2} y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
83.177 |
|
| 26390 |
\begin{align*}
y^{2} y^{\prime }&=x \left (-y+y^{\prime } x \right ) {\mathrm e}^{\frac {x}{y}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
83.249 |
|
| 26391 |
\begin{align*}
y^{\prime }&=f \left (x \right ) y^{2}-a \coth \left (\lambda x \right )^{2} \left (a f \left (x \right )+\lambda \right )+a \lambda \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
83.254 |
|
| 26392 |
\begin{align*}
2 y^{2}+4 x^{2}-y y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
83.444 |
|
| 26393 |
\begin{align*}
x +2+\left (2 x +y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
83.453 |
|
| 26394 |
\begin{align*}
4 y {y^{\prime }}^{2} y^{\prime \prime }&=3+{y^{\prime }}^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
83.454 |
|
| 26395 |
\begin{align*}
2 x -2 y-8+\left (x -3 y-6\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
83.563 |
|
| 26396 |
\begin{align*}
\frac {1}{\sqrt {x^{2}+y^{2}}}+\left (\frac {1}{y}-\frac {x}{y \sqrt {x^{2}+y^{2}}}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
83.632 |
|
| 26397 |
\begin{align*}
y&=y^{\prime } x +x \sqrt {1+{y^{\prime }}^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
83.642 |
|
| 26398 |
\begin{align*}
y^{2}&=x \left (-x +y\right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
83.742 |
|
| 26399 |
\begin{align*}
y^{\prime }&=y^{{2}/{3}}-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
83.786 |
|
| 26400 |
\begin{align*}
x^{\prime }&=2 \\
x \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
83.802 |
|