| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 24401 |
\begin{align*}
y^{\prime }&=\frac {2 x^{2}+2 y^{2}-3 y x}{y x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.133 |
|
| 24402 |
\begin{align*}
\left (a +x \left (x +y\right )\right ) y^{\prime }&=b \left (x +y\right ) y \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
23.160 |
|
| 24403 |
\begin{align*}
\left (t^{2}+1\right ) y^{\prime \prime }-t y^{\prime }+t^{2} y&=\cos \left (t \right ) \\
y \left (0\right ) &= y_{1} \\
y^{\prime }\left (0\right ) &= y_{1} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
23.261 |
|
| 24404 |
\begin{align*}
y^{\prime } x +\cos \left (x^{2}\right )&=827 y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.283 |
|
| 24405 |
\begin{align*}
1+y \,{\mathrm e}^{y x}+\left (2 y+x \,{\mathrm e}^{y x}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.292 |
|
| 24406 |
\begin{align*}
y^{2} {y^{\prime }}^{2}+2 a x y y^{\prime }+\left (a -1\right ) b +a \,x^{2}+\left (-a +1\right ) y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.342 |
|
| 24407 |
\begin{align*}
1+y \,{\mathrm e}^{y x}+\left (2 y+x \,{\mathrm e}^{y x}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.365 |
|
| 24408 |
\begin{align*}
y^{\prime }&=\frac {y}{\sqrt {t^{3}-3}}+t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.392 |
|
| 24409 |
\begin{align*}
a y+y^{\prime } y+y^{\prime \prime }&=y^{3} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
23.438 |
|
| 24410 |
\begin{align*}
y^{\prime }&=y^{3}-1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.464 |
|
| 24411 |
\begin{align*}
y^{\prime }&=-\frac {216 y \left (-2 y^{4}-3 y^{3}-6 y^{2}-6 y+6 x +6\right )}{-648 x^{2} y-1296 y x +2484 y^{6}-216 x^{2} y^{4}-1296 y-1944 x y^{2}+2808 y^{4}-648 x y^{3}-18 y^{8}-648 y^{2} x^{2}+216 y^{7} x +1728 y^{3}+72 y^{8} x +216 x^{3}-1296 y^{2}+4428 y^{5}-324 x^{2} y^{3}+594 x y^{6}+1080 x y^{5}-432 y^{4} x +594 y^{7}-126 y^{10}-8 y^{12}-36 y^{11}-315 y^{9}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.492 |
|
| 24412 |
\begin{align*}
y {y^{\prime }}^{2}-\left (x +y\right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.502 |
|
| 24413 |
\begin{align*}
y^{\prime } x +y&=3 x^{2} \\
y \left (2\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.538 |
|
| 24414 |
\begin{align*}
y^{\prime }&=\frac {-x^{2}+x +2+2 x^{3} \sqrt {x^{2}-4 x +4 y}}{2 x +2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
23.550 |
|
| 24415 |
\begin{align*}
y^{\prime }&=\frac {2+y \,{\mathrm e}^{y x}}{2 y-x \,{\mathrm e}^{y x}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.582 |
|
| 24416 |
\begin{align*}
x^{2}+y^{2}-2 x y^{\prime } y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.608 |
|
| 24417 |
\begin{align*}
y y^{\prime \prime }&=1+{y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.627 |
|
| 24418 | \begin{align*}
y {y^{\prime }}^{2}-\left (x +y\right ) y^{\prime }+y&=0 \\
\end{align*} | ✓ | ✓ | ✓ | ✓ | 23.658 |
|
| 24419 |
\begin{align*}
y^{\prime }&=f \left (x \right ) y^{2}+x^{n -1} a n -a^{2} x^{2 n} f \left (x \right ) \\
\end{align*} |
✓ |
✗ |
✗ |
✗ |
23.670 |
|
| 24420 |
\begin{align*}
\frac {y^{\prime }}{x}&=y \sin \left (x^{2}-1\right )-\frac {2 y}{\sqrt {x}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.713 |
|
| 24421 |
\begin{align*}
y^{2}-\left (y x +2\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.723 |
|
| 24422 |
\begin{align*}
y^{\prime }-3 y&=5 \,{\mathrm e}^{2 i t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.757 |
|
| 24423 |
\begin{align*}
y^{\prime }&=y^{2}+a \tan \left (\beta x \right ) y+a b \tan \left (\beta x \right )-b^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.769 |
|
| 24424 |
\begin{align*}
y^{\prime }&=1+\frac {y}{x}-\frac {y^{2}}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.794 |
|
| 24425 |
\begin{align*}
-y+y^{\prime } x&=\sqrt {x^{2}-y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.800 |
|
| 24426 |
\begin{align*}
-y+y^{\prime } x&=x^{2} y^{4} \left (y^{\prime } x +y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.807 |
|
| 24427 |
\begin{align*}
3 y x +y^{2}+\left (3 y x +x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.863 |
|
| 24428 |
\begin{align*}
y y^{\prime \prime }+{y^{\prime }}^{2}&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.924 |
|
| 24429 |
\begin{align*}
y^{\prime \prime }&=\frac {1}{\sqrt {a y}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.947 |
|
| 24430 |
\begin{align*}
\left (c \,x^{2}+b x +a \right ) y+x^{2} y^{\prime }+x^{3} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
24.008 |
|
| 24431 |
\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+b f \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.010 |
|
| 24432 |
\begin{align*}
{y^{\prime }}^{3}-y {y^{\prime }}^{2}+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.022 |
|
| 24433 |
\begin{align*}
x^{\prime \prime }-x+3 x^{2}&=0 \\
x \left (0\right ) &= {\frac {1}{2}} \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.089 |
|
| 24434 |
\begin{align*}
2 x y^{\prime } y&=y^{2}+x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.105 |
|
| 24435 |
\begin{align*}
x^{\prime }&=2+\sin \left (x\right ) \\
x \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.148 |
|
| 24436 |
\begin{align*}
y^{2}-3 y x -2 x^{2}&=\left (x^{2}-y x \right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.172 |
|
| 24437 | \begin{align*}
x +y+\left (2 x +3 y-1\right ) y^{\prime }&=0 \\
\end{align*} | ✓ | ✓ | ✓ | ✓ | 24.173 |
|
| 24438 |
\begin{align*}
3 y+2 x +4-\left (4 x +6 y+5\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.232 |
|
| 24439 |
\begin{align*}
c y+b y^{\prime }+a {y^{\prime }}^{2}+y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
24.253 |
|
| 24440 |
\begin{align*}
y^{\prime }&=\frac {2 y}{x}+\frac {x^{3}}{y}+x \tan \left (\frac {y}{x^{2}}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.260 |
|
| 24441 |
\begin{align*}
y^{\prime } y+\frac {a \left (x -2\right ) y}{x}&=\frac {2 a^{2} \left (x -1\right )}{x} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
24.284 |
|
| 24442 |
\begin{align*}
x \left (x^{n}+1\right ) y^{\prime \prime }+\left (\left (a -b \right ) x^{n}+a -n \right ) y^{\prime }+b \left (-a +1\right ) x^{n -1} y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
24.301 |
|
| 24443 |
\begin{align*}
{\mathrm e}^{2 y} {y^{\prime }}^{3}+\left ({\mathrm e}^{2 x}+{\mathrm e}^{3 x}\right ) y^{\prime }-{\mathrm e}^{3 x}&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
24.378 |
|
| 24444 |
\begin{align*}
y&=y^{\prime } x +x \sqrt {1+{y^{\prime }}^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.388 |
|
| 24445 |
\begin{align*}
\theta ^{\prime }&=\frac {11}{10}-\frac {9 \cos \left (\theta \right )}{10} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.395 |
|
| 24446 |
\begin{align*}
\theta ^{\prime }&=\frac {9}{10}-\frac {11 \cos \left (\theta \right )}{10} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.396 |
|
| 24447 |
\begin{align*}
\frac {1-6 x^{2} y}{x}+\frac {\left (2+5 y-3 x^{2} y\right ) y^{\prime }}{y}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.409 |
|
| 24448 |
\begin{align*}
y^{\prime } y&=\frac {y}{\sqrt {a x +b}}+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.411 |
|
| 24449 |
\begin{align*}
y^{\prime }&=\frac {x +y-1}{x +4 y+2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.447 |
|
| 24450 |
\begin{align*}
y^{\prime \prime }+y^{\prime } y-y^{3}+a y&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
24.464 |
|
| 24451 |
\begin{align*}
y y^{\prime \prime }&=-b y^{2}-a y y^{\prime }+{y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.467 |
|
| 24452 |
\begin{align*}
\left (x +y-1\right ) y^{\prime }-y+2 x +3&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.487 |
|
| 24453 |
\begin{align*}
y^{\prime } y^{\prime \prime }&=a x {y^{\prime }}^{5}+3 {y^{\prime \prime }}^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
24.498 |
|
| 24454 |
\begin{align*}
\cos \left (y\right ) \ln \left (\sec \left (x \right )+\tan \left (x \right )\right )&=\cos \left (x \right ) \ln \left (\sec \left (y\right )+\tan \left (y\right )\right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.509 |
|
| 24455 |
\begin{align*}
-2 \sin \left (x \right ) y^{2}+3 y^{3}-2 x +\left (4 y \cos \left (x \right )+9 x y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.514 |
|
| 24456 |
\begin{align*}
\sin \left (y x \right )+x y \cos \left (y x \right )+x^{2} \cos \left (y x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.533 |
|
| 24457 | \begin{align*}
x^{n} y^{\prime \prime }+\left (2 x^{n -1}+a \,x^{2}+b x \right ) y^{\prime }+b y&=0 \\
\end{align*} | ✗ | ✓ | ✗ | ✗ | 24.564 |
|
| 24458 |
\begin{align*}
-\csc \left (x \right )^{2} y+\cot \left (x \right ) y^{\prime }+y^{\prime \prime }&=\cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.576 |
|
| 24459 |
\begin{align*}
x^{3} y^{\prime }-x^{2} y&=x^{5} y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.636 |
|
| 24460 |
\begin{align*}
x y^{2}+2 y+\left (2 y^{3}-x^{2} y+2 x \right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
24.637 |
|
| 24461 |
\begin{align*}
y^{\prime } y-y&=20 x +\frac {A}{\sqrt {x}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
24.646 |
|
| 24462 |
\begin{align*}
y^{\prime }&=\frac {x^{2} \left (x +1+2 x \sqrt {x^{3}-6 y}\right )}{2 x +2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
24.654 |
|
| 24463 |
\begin{align*}
y^{\prime }&=\sin \left (x +y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.696 |
|
| 24464 |
\begin{align*}
y^{3}+2 x^{2} y+\left (-3 x^{3}-2 x y^{2}\right ) y^{\prime }&=0 \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
24.710 |
|
| 24465 |
\begin{align*}
6 y^{2}-x \left (2 x^{3}+y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.714 |
|
| 24466 |
\begin{align*}
\left (a \,x^{3}+\left (a x +b y\right )^{3}\right ) y y^{\prime }+x \left (\left (a x +b y\right )^{3}+y^{3} b \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.731 |
|
| 24467 |
\begin{align*}
x^{2} y^{\prime }&=x^{4} f \left (x \right ) y^{2}+1 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
24.749 |
|
| 24468 |
\begin{align*}
3 x -y+2+\left (x +2 y+1\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✗ |
✓ |
✓ |
24.761 |
|
| 24469 |
\begin{align*}
y^{\prime }&=\frac {3 x^{3}+\sqrt {-9 x^{4}+4 y^{3}}+x^{2} \sqrt {-9 x^{4}+4 y^{3}}+x^{3} \sqrt {-9 x^{4}+4 y^{3}}}{y^{2}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
24.761 |
|
| 24470 |
\begin{align*}
a^{2} {y^{\prime \prime }}^{2}&=\left (1+{y^{\prime }}^{2}\right )^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.763 |
|
| 24471 |
\begin{align*}
-x^{\prime \prime }&=2 x-x^{2} \\
x \left (0\right ) &= 0 \\
x \left (\pi \right ) &= 0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
24.784 |
|
| 24472 |
\begin{align*}
\left (3 x +2 y-7\right ) y^{\prime }&=2 x -3 y+6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.824 |
|
| 24473 |
\begin{align*}
y^{\prime }&=f \left (x \right ) y^{2}-f \left (x \right ) \left (a \,{\mathrm e}^{\lambda x}+b \right ) y+a \lambda \,{\mathrm e}^{\lambda x} \\
\end{align*} |
✓ |
✗ |
✗ |
✗ |
24.825 |
|
| 24474 |
\begin{align*}
y^{\prime }&=\frac {6 x^{2} y-2 x +1-5 x^{3} y^{2}-2 y x +y^{3} x^{4}}{x^{2} \left (x^{2} y-x +1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.835 |
|
| 24475 |
\begin{align*}
x^{\prime }&=t +x^{2} \\
x \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.842 |
|
| 24476 |
\begin{align*}
v^{\prime \prime }&=\left (\frac {1}{v}+{v^{\prime }}^{4}\right )^{{1}/{3}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
24.846 |
|
| 24477 | \begin{align*}
x^{\prime }&=4+4 x^{2} \\
x \left (\frac {\pi }{4}\right ) &= 1 \\
\end{align*} | ✓ | ✓ | ✗ | ✓ | 24.852 |
|
| 24478 |
\begin{align*}
\cos \left (x \right ) y^{\prime }+y \,{\mathrm e}^{x^{2}}&=\sinh \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.861 |
|
| 24479 |
\begin{align*}
{y^{\prime }}^{2}-2 y^{\prime } y-2 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.875 |
|
| 24480 |
\begin{align*}
y^{\prime }&=\frac {\left (2 \ln \left (x \right )+1\right ) x}{\sin \left (y\right )+y \cos \left (y\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.884 |
|
| 24481 |
\begin{align*}
y^{\prime }&=2 y-{\mathrm e}^{i t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.916 |
|
| 24482 |
\begin{align*}
-y+2 y^{\prime } x +x^{3} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
25.033 |
|
| 24483 |
\begin{align*}
\sin \left (2 x \right )+\cos \left (3 y\right ) y^{\prime }&=0 \\
y \left (\frac {\pi }{2}\right ) &= \frac {\pi }{3} \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
25.050 |
|
| 24484 |
\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*} |
✓ |
✓ |
✓ |
✗ |
25.052 |
|
| 24485 |
\begin{align*}
y^{\prime }&=\sqrt {1+\sin \left (x \right )}\, \left (1+y^{2}\right ) \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
25.092 |
|
| 24486 |
\begin{align*}
2 \sin \left (x \right ) \cos \left (x \right ) y+\sin \left (x \right ) y^{2}+\left (\sin \left (x \right )^{2}-2 y \cos \left (x \right )\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
25.110 |
|
| 24487 |
\begin{align*}
y^{\prime }&=3 x y^{{1}/{3}} \\
y \left (-1\right ) &= {\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
25.158 |
|
| 24488 |
\begin{align*}
x^{\prime }&=x-\frac {\mu x}{1+x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
25.166 |
|
| 24489 |
\begin{align*}
y^{\prime }&=\frac {y \left (y^{2} x^{2}+y x \,{\mathrm e}^{x}+{\mathrm e}^{2 x}\right ) {\mathrm e}^{-2 x} \left (x -1\right )}{x} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
25.181 |
|
| 24490 |
\begin{align*}
3 x -y+1+\left (x -3 y-5\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
25.210 |
|
| 24491 |
\begin{align*}
y^{\prime }&={\mathrm e}^{\lambda x} f \left (x \right ) y^{2}+\left (a f \left (x \right )-\lambda \right ) y+b \,{\mathrm e}^{-\lambda x} f \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
25.233 |
|
| 24492 |
\begin{align*}
y^{\prime }&=t +y^{2} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
25.266 |
|
| 24493 |
\begin{align*}
y^{\prime }&=\frac {x \left (-2 x -2+3 x^{2} \sqrt {x^{2}+3 y}\right )}{3 x +3} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
25.306 |
|
| 24494 |
\begin{align*}
x^{7} y^{\prime }+5 x^{3} y^{2}+2 \left (x^{2}+1\right ) y^{3}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
25.318 |
|
| 24495 |
\begin{align*}
\sec \left (x \right )^{2} \tan \left (y\right )+\sec \left (y\right )^{2} \tan \left (x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
25.327 |
|
| 24496 | \begin{align*}
\left (1+y^{\prime }\right )^{3}&=\frac {7 \left (x +y\right ) \left (1-y^{\prime }\right )^{3}}{4 a} \\
\end{align*} | ✓ | ✓ | ✓ | ✗ | 25.339 |
|
| 24497 |
\begin{align*}
y \left (\left (b x +a y\right )^{3}+b \,x^{3}\right ) y^{\prime }+x \left (\left (b x +a y\right )^{3}+a y^{3}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
25.359 |
|
| 24498 |
\begin{align*}
y^{\prime }&=\sin \left (y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
25.374 |
|
| 24499 |
\begin{align*}
\left (3 x^{3}+6 x^{2} y-3 x y^{2}+20 y^{3}\right ) y^{\prime }+4 x^{3}+9 x^{2} y+6 x y^{2}-y^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
25.446 |
|
| 24500 |
\begin{align*}
y^{\prime }&=\frac {2 x +y-1}{x -y-2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
25.449 |
|