| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 22501 |
\begin{align*}
y^{\prime }&=-\frac {i \left (54 i x^{2}+81 y^{4}+18 y^{2} x^{4}+x^{8}\right ) x}{243 y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
7.391 |
|
| 22502 |
\begin{align*}
{\mathrm e}^{y} \left (y^{\prime }+1\right )&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.392 |
|
| 22503 |
\begin{align*}
x^{n} y^{\prime }&=x^{n -1} \left (a \,x^{2 n}+n y-b y^{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
7.394 |
|
| 22504 |
\begin{align*}
y^{\prime }&=-\lambda \,{\mathrm e}^{\lambda x} y^{2}+a \,x^{n} {\mathrm e}^{\lambda x} y-a \,x^{n} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
7.394 |
|
| 22505 |
\begin{align*}
x^{2} y^{\prime \prime }-\left (a^{2} x^{2 n}+a \left (2 b +n -1\right ) x^{n}+b \left (b -1\right )\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
7.394 |
|
| 22506 |
\begin{align*}
x y^{3}+{\mathrm e}^{x^{2}} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.395 |
|
| 22507 |
\begin{align*}
y^{\prime }&=\frac {\left (-108 x^{{3}/{2}} y+18 x^{{9}/{2}}-108 x^{{3}/{2}}-216 y^{3}+108 x^{3} y^{2}-18 x^{6} y+x^{9}\right ) \sqrt {x}}{-216 y+36 x^{3}-216} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.395 |
|
| 22508 |
\begin{align*}
16 x y^{\prime \prime }+8 y^{\prime }-\left (x +a \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
7.396 |
|
| 22509 |
\begin{align*}
\cos \left (x \right ) y^{\prime \prime }+y^{\prime }+5 y&=0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
7.398 |
|
| 22510 |
\begin{align*}
\sqrt {\left (x +a \right ) \left (x +b \right )}\, y^{\prime }+y&=\sqrt {x +a}-\sqrt {x +b} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
7.401 |
|
| 22511 |
\begin{align*}
y^{\prime }&=y x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.401 |
|
| 22512 |
\begin{align*}
y^{\prime }&=\frac {y-\ln \left (\frac {x +1}{x -1}\right ) x^{3}+\ln \left (\frac {x +1}{x -1}\right ) x y^{2}}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
7.402 |
|
| 22513 |
\begin{align*}
y^{\prime }+2 x y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.404 |
|
| 22514 |
\begin{align*}
\cos \left (\theta \right ) v^{\prime }+v&=3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.405 |
|
| 22515 |
\begin{align*}
2 x y y^{\prime }&=a x +y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.408 |
|
| 22516 |
\begin{align*}
x^{2}+y^{2}-2 x y y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.411 |
|
| 22517 |
\begin{align*}
x^{2} y^{\prime }+2 y x&=5 y^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.414 |
|
| 22518 |
\begin{align*}
x^{2} \left (-1+y\right ) y^{\prime }+\left (x -1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.414 |
|
| 22519 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (x^{2}-2 x \right ) y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
7.414 |
|
| 22520 |
\begin{align*}
3 y^{\prime \prime } y^{\prime \prime \prime \prime }&=5 {y^{\prime \prime \prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
7.415 |
|
| 22521 |
\begin{align*}
\left (x \sqrt {1+x^{2}+y^{2}}-y \left (x^{2}+y^{2}\right )\right ) y^{\prime }-y \sqrt {1+x^{2}+y^{2}}-x \left (x^{2}+y^{2}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
7.416 |
|
| 22522 |
\begin{align*}
{y^{\prime }}^{2} x +x -2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.416 |
|
| 22523 |
\begin{align*}
y^{\prime }&=x^{2}+y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
7.417 |
|
| 22524 |
\begin{align*}
\left (a^{2}-x^{2}\right ) y {y^{\prime }}^{2}+\left (a^{2}-x^{2}\right ) \left (a^{2}-y^{2}\right ) y^{\prime \prime }&=x \left (a^{2}-y^{2}\right ) y^{\prime } \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
7.421 |
|
| 22525 |
\begin{align*}
{y^{\prime }}^{2} x -y y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
7.421 |
|
| 22526 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
7.425 |
|
| 22527 |
\begin{align*}
x y^{\prime }-y&=x \sqrt {x^{2}+y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
7.425 |
|
| 22528 |
\begin{align*}
y^{\prime }+\frac {2 y}{x}&=5 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.426 |
|
| 22529 |
\begin{align*}
x y y^{\prime }&=\left (x^{2}+1\right ) \left (1-y^{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.428 |
|
| 22530 |
\begin{align*}
y^{\prime }&=f \left (x \right ) y^{2}-a y-a b -b^{2} f \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.430 |
|
| 22531 |
\begin{align*}
2 x^{2} y y^{\prime }&=x^{2} \left (2 x +1\right )-y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.431 |
|
| 22532 |
\begin{align*}
4 x^{2} y^{\prime \prime }+2 x \left (2-x \right ) y^{\prime }-\left (1+3 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
7.433 |
|
| 22533 |
\begin{align*}
2 r \left (s^{2}+1\right )+\left (r^{4}+1\right ) s^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.433 |
|
| 22534 |
\begin{align*}
y^{\prime \prime }+\frac {y}{x^{2} \ln \left (x \right )}&={\mathrm e}^{x} \left (\frac {2}{x}+\ln \left (x \right )\right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
7.435 |
|
| 22535 |
\begin{align*}
y^{\prime }+y \sin \left (x \right )&=\sin \left (x \right ) y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.441 |
|
| 22536 |
\begin{align*}
y^{\prime }&=-\frac {x}{y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.448 |
|
| 22537 |
\begin{align*}
y y^{\prime }+4 x \left (x +1\right )+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.451 |
|
| 22538 |
\begin{align*}
x \cos \left (x -2 y\right )+\sin \left (x -2 y\right )-2 x \cos \left (x -2 y\right ) y^{\prime }&=0 \\
y \left (\frac {\pi }{12}\right ) &= \frac {\pi }{8} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.454 |
|
| 22539 |
\begin{align*}
y^{\prime } y^{\prime \prime }+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
7.464 |
|
| 22540 |
\begin{align*}
{y^{\prime }}^{2}&=a^{2} \left (1-\ln \left (y\right )^{2}\right ) y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.469 |
|
| 22541 |
\begin{align*}
y^{\prime }-\frac {y}{x}&=\frac {1}{y} \\
y \left (1\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.469 |
|
| 22542 |
\begin{align*}
y^{\prime }&=-\frac {x}{2}+1+x^{2} \sqrt {x^{2}-4 x +4 y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.472 |
|
| 22543 |
\begin{align*}
2 \sin \left (3 x \right ) \sin \left (2 y\right ) y^{\prime }-3 \cos \left (3 x \right ) \cos \left (2 y\right )&=0 \\
y \left (\frac {\pi }{12}\right ) &= \frac {\pi }{8} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.473 |
|
| 22544 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (-a \cos \left (x \right )^{2} \sin \left (x \right )^{2}-m \left (m -1\right ) \sin \left (x \right )^{2}-n \left (n -1\right ) \cos \left (x \right )^{2}\right ) y}{\cos \left (x \right )^{2} \sin \left (x \right )^{2}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
7.473 |
|
| 22545 |
\begin{align*}
y+1+\left (-1+y\right ) \left (t^{2}+1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.473 |
|
| 22546 |
\begin{align*}
6 y-4 \left (x +1\right ) y^{\prime }+\left (x +1\right )^{2} y^{\prime \prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
7.474 |
|
| 22547 |
\begin{align*}
y&={y^{\prime }}^{2}-x y^{\prime }+x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
7.474 |
|
| 22548 |
\begin{align*}
y^{3}+2 y \,{\mathrm e}^{x}+\left ({\mathrm e}^{x}+3 y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
7.474 |
|
| 22549 |
\begin{align*}
t +2 y+3+\left (2 t +4 y-1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.477 |
|
| 22550 |
\begin{align*}
y^{\prime }+2 \left (a^{2} x^{3}-b^{2} x \right ) y^{3}+3 b y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
7.477 |
|
| 22551 |
\begin{align*}
y^{2}+x y^{2}+\left (x^{2}-x^{2} y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.480 |
|
| 22552 |
\begin{align*}
x y^{\prime }&=y+\sqrt {y^{2}-x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.483 |
|
| 22553 |
\begin{align*}
x^{2} y^{\prime }+x y^{3}+a y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
7.488 |
|
| 22554 |
\begin{align*}
x y y^{\prime }&=x^{2}+3 y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.489 |
|
| 22555 |
\begin{align*}
y^{\prime }&=\frac {2 a x}{-x^{3} y+2 a \,x^{3}+2 a y^{4} x^{3}-16 y^{2} a^{2} x^{2}+32 a^{3} x +2 a y^{6} x^{3}-24 y^{4} a^{2} x^{2}+96 y^{2} x \,a^{3}-128 a^{4}} \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
7.492 |
|
| 22556 |
\begin{align*}
y \left ({\mathrm e}^{x}+2 y x \right )-{\mathrm e}^{x} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.493 |
|
| 22557 |
\begin{align*}
t y^{\prime }+y&=y^{2} t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.494 |
|
| 22558 |
\begin{align*}
y^{\prime }&=\frac {1+3 x}{2 y} \\
y \left (-2\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.496 |
|
| 22559 |
\begin{align*}
y^{\prime }&=\frac {y}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.496 |
|
| 22560 |
\begin{align*}
y^{\prime }&=y^{2} \\
y \left (x_{0} \right ) &= y_{0} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.497 |
|
| 22561 |
\begin{align*}
y^{\prime }&=-\frac {\left (a \,x^{2}-2 F \left (y+\frac {a \,x^{4}}{8}\right )\right ) x}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
7.497 |
|
| 22562 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime }+y x&=\left (x^{2}+1\right )^{{3}/{2}} \\
y \left (0\right ) &= 7 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.497 |
|
| 22563 |
\begin{align*}
2 y-\cot \left (2 x \right ) y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
7.500 |
|
| 22564 |
\begin{align*}
y^{\prime }&=x^{2}-y^{2} \\
y \left (3\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
7.500 |
|
| 22565 |
\begin{align*}
y^{\prime }+\frac {2 y}{x}&=x \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.503 |
|
| 22566 |
\begin{align*}
y^{\prime }&=-2 x \left (y^{3}-3 y+2\right ) \\
y \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.504 |
|
| 22567 |
\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*} |
✓ |
✓ |
✓ |
✗ |
7.506 |
|
| 22568 |
\begin{align*}
x^{\prime }&=-\frac {2 x}{t}+t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.506 |
|
| 22569 |
\begin{align*}
1+y-\left (1-x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.510 |
|
| 22570 |
\begin{align*}
y^{\prime \prime \prime \prime }-y&=\operatorname {Heaviside}\left (t -1\right )-\operatorname {Heaviside}\left (t -2\right ) \\
y \left (0\right ) &= 12 \\
y^{\prime }\left (0\right ) &= 7 \\
y^{\prime \prime }\left (0\right ) &= 2 \\
y^{\prime \prime \prime }\left (0\right ) &= -9 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
7.510 |
|
| 22571 |
\begin{align*}
\left ({\mathrm e}^{x}-1-x \right ) y^{\prime \prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
7.517 |
|
| 22572 |
\begin{align*}
x \cos \left (\frac {y}{x}\right )^{2}-y+x y^{\prime }&=0 \\
y \left (1\right ) &= \frac {\pi }{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
7.523 |
|
| 22573 |
\begin{align*}
y^{\prime }&=y^{2} \\
y \left (t_{0} \right ) &= y_{0} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.525 |
|
| 22574 |
\begin{align*}
\sin \left (y\right ) y+x \left (\sin \left (y\right )-y \cos \left (y\right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.526 |
|
| 22575 |
\begin{align*}
x y^{\prime }+y&=y^{2} x^{3} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.526 |
|
| 22576 |
\begin{align*}
x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y&=x^{4} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.527 |
|
| 22577 |
\begin{align*}
4 x^{3} y^{2}-6 x^{2} y-2 x -3+\left (2 x^{4} y-2 x^{3}\right ) y^{\prime }&=0 \\
y \left (1\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
7.530 |
|
| 22578 |
\begin{align*}
2 x y y^{\prime }+\ln \left (x \right )&=-1-y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.530 |
|
| 22579 |
\begin{align*}
{y^{\prime }}^{2}-4 y^{3}+a y+b&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.531 |
|
| 22580 |
\begin{align*}
x y^{\prime }&=\left (x^{2}+\tan \left (y\right )\right ) \cos \left (y\right )^{2} \\
\end{align*} |
✗ |
✗ |
✓ |
✗ |
7.541 |
|
| 22581 |
\begin{align*}
\sin \left (3 x \right )+2 y \cos \left (3 x \right )^{3} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.542 |
|
| 22582 |
\begin{align*}
y^{\prime }&=-\frac {x}{2}+1+x \sqrt {x^{2}-4 x +4 y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.544 |
|
| 22583 |
\begin{align*}
y^{\prime }&=\frac {\left ({\mathrm e}^{-\frac {y}{x}} y+x \,{\mathrm e}^{-\frac {y}{x}}+x +x^{3}+x^{4}\right ) {\mathrm e}^{\frac {y}{x}}}{x} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
7.546 |
|
| 22584 |
\begin{align*}
\sin \left (x \right ) y^{\prime }-\cos \left (x \right ) y&=-\frac {\sin \left (x \right )^{2}}{x^{2}} \\
y \left (\infty \right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.546 |
|
| 22585 |
\begin{align*}
\left (\sqrt {x}+x \right ) y^{\prime }&=\sqrt {y}+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.549 |
|
| 22586 |
\begin{align*}
\tan \left (y\right )-t +\left (t \sec \left (y\right )^{2}+1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
7.549 |
|
| 22587 |
\begin{align*}
x -y^{2}+2 x y y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.553 |
|
| 22588 |
\begin{align*}
{\mathrm e}^{x} \sin \left (y\right )-y \sin \left (y x \right )+\left ({\mathrm e}^{x} \cos \left (y\right )-x \sin \left (y x \right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
7.562 |
|
| 22589 |
\begin{align*}
2 x^{2} y^{\prime }+1+2 y x -x^{2} y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.562 |
|
| 22590 |
\begin{align*}
y^{\prime }&=\sigma y^{2}+a +b \,{\mathrm e}^{\lambda x}+c \,{\mathrm e}^{2 \lambda x} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
7.562 |
|
| 22591 |
\begin{align*}
y^{\prime }-2 y x&=3 x \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.562 |
|
| 22592 |
\begin{align*}
y^{\prime }+\frac {y \ln \left (x \right )}{x}&=2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.564 |
|
| 22593 |
\begin{align*}
y y^{\prime }+x&=0 \\
y \left (3\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.565 |
|
| 22594 |
\begin{align*}
y^{\prime }&=-\frac {y}{t}-1-y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
7.565 |
|
| 22595 |
\begin{align*}
x y^{\prime }+n y&=f \left (x \right ) g \left (x^{n} y\right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
7.566 |
|
| 22596 |
\begin{align*}
x y^{\prime }-a y+y^{2}&=x^{-2 a} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
7.566 |
|
| 22597 |
\begin{align*}
y-\left (x^{2}+y^{2}+x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
7.566 |
|
| 22598 |
\begin{align*}
x^{\prime }&=k \left (A -n x\right ) \left (M -m x\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.576 |
|
| 22599 |
\begin{align*}
x y^{\prime }-y+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.576 |
|
| 22600 |
\begin{align*}
y^{\prime }&=\frac {-128 y x -24 x^{3}+32 x^{2}-128 x +512 y^{3}+192 x^{2} y^{2}-384 x y^{2}+24 x^{4} y-96 x^{3} y+96 x^{2} y+x^{6}-6 x^{5}+12 x^{4}}{512 y+64 x^{2}-128 x +512} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
7.579 |
|