| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 23601 |
\begin{align*}
y^{\prime }&=\sqrt {25-y^{2}} \\
y \left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.347 |
|
| 23602 |
\begin{align*}
3 x y^{3}-y+x y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.349 |
|
| 23603 |
\begin{align*}
y^{\prime }&=a y^{2}+b \tan \left (x \right ) y+c \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.350 |
|
| 23604 |
\begin{align*}
x y^{\prime }+\left (1-a y \ln \left (x \right )\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.358 |
|
| 23605 |
\begin{align*}
\left (a \,x^{2}+b x +c \right ) y^{\prime }&=y^{2}+\left (2 \lambda x +b \right ) y+\lambda \left (\lambda -a \right ) x^{2}+\mu \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.358 |
|
| 23606 |
\begin{align*}
y^{\prime } \sqrt {b^{2}+y^{2}}&=\sqrt {a^{2}+x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.361 |
|
| 23607 |
\begin{align*}
y^{\prime }-\frac {y}{x +1}+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.363 |
|
| 23608 |
\begin{align*}
x y^{\prime }&=x^{2 n} f \left (x \right ) y^{2}+\left (a \,x^{n} f \left (x \right )-n \right ) y+f \left (x \right ) b \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.366 |
|
| 23609 |
\begin{align*}
3 t y^{\prime }&=\cos \left (t \right ) y \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.371 |
|
| 23610 |
\begin{align*}
2 x +3 y-1+\left (2 x +3 y-5\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.372 |
|
| 23611 |
\begin{align*}
y^{\prime }&=-\frac {y^{2} \left (x^{2} y-2 x -2 y x +y\right )}{2 \left (-2+y x -2 y\right ) x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.376 |
|
| 23612 |
\begin{align*}
y^{\prime }+2 x y^{2}&=0 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.377 |
|
| 23613 |
\begin{align*}
\ln \left (\cos \left (y^{\prime }\right )\right )+y^{\prime } \tan \left (y^{\prime }\right )&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.381 |
|
| 23614 |
\begin{align*}
y^{\prime }&=y^{3}-y \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.382 |
|
| 23615 |
\begin{align*}
x^{2} y^{\prime \prime }+a \,x^{2} y^{\prime }+\left (b \,x^{2}+c x +d \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
10.385 |
|
| 23616 |
\begin{align*}
y \left (1+\sqrt {x^{2} y^{4}+1}\right )+2 x y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.386 |
|
| 23617 |
\begin{align*}
y^{\prime }&=k \left (m^{4}-y^{4}\right ) \\
y \left (0\right ) &= \frac {m}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.388 |
|
| 23618 |
\begin{align*}
2 y^{\prime \prime }&=\sin \left (2 y\right ) \\
y \left (0\right ) &= \frac {\pi }{2} \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✗ |
✗ |
✗ |
10.392 |
|
| 23619 |
\begin{align*}
\left (x -3 y+4\right ) y^{\prime }&=2 x -6 y+7 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.398 |
|
| 23620 |
\begin{align*}
\left (5 x -2 y+7\right ) y^{\prime }&=10 x -4 y+6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.398 |
|
| 23621 |
\begin{align*}
y^{\prime }&=\frac {y^{2}-1}{y x} \\
y \left (1\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.401 |
|
| 23622 |
\begin{align*}
y^{\prime }&=\frac {y+2}{2 t +1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.402 |
|
| 23623 |
\begin{align*}
1-y^{2} \cos \left (y t \right )+\left (t y \cos \left (y t \right )+\sin \left (y t \right )\right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
10.402 |
|
| 23624 |
\begin{align*}
-y+y^{\prime }&=t y^{2} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.404 |
|
| 23625 |
\begin{align*}
\left (b x +a \right ) y+8 y^{\prime }+16 x y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
10.405 |
|
| 23626 |
\begin{align*}
\left (2 x -2 y+5\right ) y^{\prime }&=x -y+3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.405 |
|
| 23627 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+5 y&=\left \{\begin {array}{cc} 1 & 0\le t \le \frac {\pi }{2} \\ 0 & \frac {\pi }{2}<t \end {array}\right . \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.407 |
|
| 23628 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+5 y&=\left \{\begin {array}{cc} 1 & 0<t <\frac {\pi }{2} \\ 0 & \frac {\pi }{2}<t \end {array}\right . \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
10.409 |
|
| 23629 |
\begin{align*}
\left (-x +y\right )^{2} y^{\prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.411 |
|
| 23630 |
\begin{align*}
x^{\prime \prime }-p \left (t \right ) x&=q \left (t \right ) \\
x \left (a \right ) &= 0 \\
x \left (b \right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
10.412 |
|
| 23631 |
\begin{align*}
\left (1+y^{2}\right ) \cos \left (x \right )&=2 \left (1+\sin \left (x \right )^{2}\right ) y y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.415 |
|
| 23632 |
\begin{align*}
\left (2 x -2 y+5\right ) y^{\prime }-x +y-3&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.421 |
|
| 23633 |
\begin{align*}
u^{\prime \prime }+\frac {u^{\prime }}{4}+u&=2 \left (\left \{\begin {array}{cc} 1 & \frac {3}{2}\le t <\frac {5}{2} \\ 0 & \operatorname {otherwise} \end {array}\right .\right ) \\
u \left (0\right ) &= 0 \\
u^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
10.422 |
|
| 23634 |
\begin{align*}
\left (a b x +a n +b m \right ) y+\left (m +n +x \left (a +b \right )\right ) y^{\prime }+x y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
10.425 |
|
| 23635 |
\begin{align*}
y^{\prime \prime }+a \,x^{n} y^{\prime }-b \left (a \,x^{n +m}+b \,x^{2 m}+m \,x^{m -1}\right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
10.425 |
|
| 23636 |
\begin{align*}
\sqrt {x}\, y^{\prime }&=\sqrt {y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.427 |
|
| 23637 |
\begin{align*}
\left (-2+2 y\right ) y^{\prime }&=2 x -1 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.430 |
|
| 23638 |
\begin{align*}
y^{\prime }+2 y \,{\mathrm e}^{x}-y^{2}&={\mathrm e}^{x}+{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.431 |
|
| 23639 |
\begin{align*}
x^{2} y^{\prime }+2 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.433 |
|
| 23640 |
\begin{align*}
y^{\prime }&=\frac {x +y}{x -y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.434 |
|
| 23641 |
\begin{align*}
2 y x +\left (y^{2}-3 x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.434 |
|
| 23642 |
\begin{align*}
y^{\prime }&=\frac {x +3 y}{x -y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.436 |
|
| 23643 |
\begin{align*}
\left (x -y\right ) y^{\prime }+x +y+1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.441 |
|
| 23644 |
\begin{align*}
y^{\prime }+y x&=6 x \sqrt {y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.457 |
|
| 23645 |
\begin{align*}
x^{2} y^{\prime \prime }-x y^{\prime }+y&=\ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.459 |
|
| 23646 |
\begin{align*}
\left (x \sqrt {1+x^{2}+y^{2}}-y \left (x^{2}+y^{2}\right )\right ) y^{\prime }&=x \left (x^{2}+y^{2}\right )+y \sqrt {1+x^{2}+y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.463 |
|
| 23647 |
\begin{align*}
\left (x +1\right ) y^{2}+y+\left (1+2 y x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.463 |
|
| 23648 |
\begin{align*}
4 y^{\prime \prime }+4 y^{\prime }+5 y&=25 t \left (\operatorname {Heaviside}\left (t \right )-\operatorname {Heaviside}\left (t -\frac {\pi }{2}\right )\right ) \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
10.463 |
|
| 23649 |
\begin{align*}
y {y^{\prime }}^{3}-3 x y^{\prime }+3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.464 |
|
| 23650 |
\begin{align*}
y^{\prime \prime }+x y^{\prime }+\left (n -1\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
10.466 |
|
| 23651 |
\begin{align*}
y^{\prime }&=t y^{2} \\
y \left (0\right ) &= {\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.471 |
|
| 23652 |
\begin{align*}
\left (3+2 x +4 y\right ) y^{\prime }-2 y-x -1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.477 |
|
| 23653 |
\begin{align*}
{y^{\prime }}^{2} x^{2}-4 x \left (y+2\right ) y^{\prime }+4 \left (y+2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.483 |
|
| 23654 |
\begin{align*}
\left (x^{2}+y^{2}\right ) y^{\prime }&=y x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.483 |
|
| 23655 |
\begin{align*}
u^{\prime \prime }+\frac {u^{\prime }}{4}+u&=\left \{\begin {array}{cc} 1 & \frac {3}{2}\le t <\frac {5}{2} \\ 0 & \operatorname {otherwise} \end {array}\right . \\
u \left (0\right ) &= 0 \\
u^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
10.485 |
|
| 23656 |
\begin{align*}
y^{\prime }&=-\frac {-y+x^{4} \sqrt {x^{2}+y^{2}}-x^{3} \sqrt {x^{2}+y^{2}}\, y}{x} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
10.486 |
|
| 23657 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }-y^{2}-2 y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
10.487 |
|
| 23658 |
\begin{align*}
\left (x +2 y+1\right ) y^{\prime }+1-x -2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.489 |
|
| 23659 |
\begin{align*}
y^{\prime }&=a \,{\mathrm e}^{\lambda x} y^{3}+3 a b \,{\mathrm e}^{\left (\lambda +\mu \right ) x} y^{2}-2 a \,b^{3} {\mathrm e}^{\left (\lambda +3 \mu \right ) x}-b \mu \,{\mathrm e}^{\mu x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.491 |
|
| 23660 |
\begin{align*}
{y^{\prime }}^{2} x +x -2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.494 |
|
| 23661 |
\begin{align*}
y^{\prime }&=\frac {\left (x -y\right )^{2} \left (x +y\right )^{2} x}{y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.494 |
|
| 23662 |
\begin{align*}
2 x y^{\prime \prime } y^{\prime \prime \prime }&=-a^{2}+{y^{\prime \prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.500 |
|
| 23663 |
\begin{align*}
y^{\prime }&=\frac {x^{3}+x^{3} y^{4}+2 x^{2} y^{2}+x +x^{3} y^{6}+3 x^{2} y^{4}+3 x y^{2}+1}{x^{5} y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.502 |
|
| 23664 |
\begin{align*}
x^{2}+y^{2}&=2 x y y^{\prime } \\
y \left (2\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.503 |
|
| 23665 |
\begin{align*}
x y y^{\prime }+x^{2}+y^{2}&=0 \\
y \left (1\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.503 |
|
| 23666 |
\begin{align*}
\frac {3-y}{x^{2}}+\frac {\left (y^{2}-2 x \right ) y^{\prime }}{x y^{2}}&=0 \\
y \left (-1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.504 |
|
| 23667 |
\begin{align*}
y^{\prime }&=f \left (x \right ) y^{2}-a \,{\mathrm e}^{\lambda x} f \left (x \right ) y+a \lambda \,{\mathrm e}^{\lambda x} \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
10.508 |
|
| 23668 |
\begin{align*}
x y^{\prime \prime }&=y^{\prime }+x \sin \left (\frac {y^{\prime }}{x}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.520 |
|
| 23669 |
\begin{align*}
2 x +3 y+1+\left (4 x +6 y+1\right ) y^{\prime }&=0 \\
y \left (-2\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.522 |
|
| 23670 |
\begin{align*}
\left (1-3 x +2 y\right )^{2} y^{\prime }-\left (3 y-2 x -4\right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.523 |
|
| 23671 |
\begin{align*}
y^{\prime }&=a \,x^{n} y^{2}+b \,x^{m} y+c k \,x^{-1+k}-b c \,x^{m +k}-a \,c^{2} x^{n +2 k} \\
\end{align*} |
✓ |
✗ |
✗ |
✗ |
10.526 |
|
| 23672 |
\begin{align*}
2 \ln \left (t \right )-\ln \left (4 y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.539 |
|
| 23673 |
\begin{align*}
x y y^{\prime }&=x^{2}+2 y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.547 |
|
| 23674 |
\begin{align*}
{y^{\prime }}^{2}-9 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.547 |
|
| 23675 |
\begin{align*}
\sec \left (x \right ) \cos \left (y\right )^{2}&=\cos \left (x \right ) \sin \left (y\right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.553 |
|
| 23676 |
\begin{align*}
x y^{\prime }&=a y+b \left (-x^{2}+1\right ) y^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.555 |
|
| 23677 |
\begin{align*}
x^{2} y^{\prime }+y^{2}&=x y y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.556 |
|
| 23678 |
\begin{align*}
y^{\prime }&=\frac {-\ln \left (x \right )+2 \ln \left (2 x \right ) x y+\ln \left (2 x \right )+\ln \left (2 x \right ) y^{2}+x^{2} \ln \left (2 x \right )}{\ln \left (x \right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.558 |
|
| 23679 |
\begin{align*}
x^{3}+y^{3}+3 x y^{2} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.563 |
|
| 23680 |
\begin{align*}
y^{\prime }&=\frac {y^{2}}{t^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.564 |
|
| 23681 |
\begin{align*}
x y^{\prime \prime }+a y^{\prime }+b \,x^{n} \left (-b \,x^{n +1}+a +n \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
10.578 |
|
| 23682 |
\begin{align*}
a y+2 x^{2} \cot \left (x \right ) y^{\prime }+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
10.596 |
|
| 23683 |
\begin{align*}
x y y^{\prime }+1+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.597 |
|
| 23684 |
\begin{align*}
x y^{\prime }+y&=y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.598 |
|
| 23685 |
\begin{align*}
y-\cos \left (x \right ) y^{\prime }&=y^{2} \cos \left (x \right ) \left (1-\sin \left (x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.599 |
|
| 23686 |
\begin{align*}
8 x +4 y+1+\left (4 x +2 y+1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.606 |
|
| 23687 |
\begin{align*}
y^{\prime }&=y t \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.610 |
|
| 23688 |
\begin{align*}
x^{2} y^{\prime \prime }-x y^{\prime }+2 y&=x^{2} \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.615 |
|
| 23689 |
\begin{align*}
y_{1}^{\prime }&=-3 y_{1}-3 y_{2}+y_{3} \\
y_{2}^{\prime }&=2 y_{2}+2 y_{3} \\
y_{3}^{\prime }&=5 y_{1}+y_{2}+y_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.616 |
|
| 23690 |
\begin{align*}
y^{\prime \prime }&=\frac {a}{y^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.617 |
|
| 23691 |
\begin{align*}
y {y^{\prime }}^{2}-\left (-2 b x +a \right ) y^{\prime }-b y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.619 |
|
| 23692 |
\begin{align*}
y^{\prime }&=\frac {y}{x +y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.622 |
|
| 23693 |
\begin{align*}
y^{\prime }&=y-y^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.624 |
|
| 23694 |
\begin{align*}
x^{2} \left (1-y\right ) y^{\prime }+\left (x +1\right ) y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.626 |
|
| 23695 |
\begin{align*}
\left (A x y+B \,x^{2}+\left (-1+k \right ) A a y-\left (A b k +B a \right ) x \right ) y^{\prime }&=A y^{2}+B x y-\left (B a k +A b \right ) y+\left (-1+k \right ) B b x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.636 |
|
| 23696 |
\begin{align*}
b y+a x y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
10.639 |
|
| 23697 |
\begin{align*}
\left (\operatorname {c1} \,x^{2}+\operatorname {b1} x +\operatorname {a1} \right ) y+a y^{\prime }+x y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
10.646 |
|
| 23698 |
\begin{align*}
y^{\prime }&=-\frac {-y+x^{3} \sqrt {x^{2}+y^{2}}-x^{2} \sqrt {x^{2}+y^{2}}\, y}{x} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
10.651 |
|
| 23699 |
\begin{align*}
\left (4 y-2 x -3\right ) y^{\prime }+2 y-x -1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.654 |
|
| 23700 |
\begin{align*}
y^{\prime }-\frac {3 y}{x}&=\frac {y^{2}}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.657 |
|