| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 15501 |
\begin{align*}
x^{\prime }&=x+y \\
y^{\prime }&=x-y \\
z^{\prime }&=2 y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 2 \\
y \left (0\right ) &= 0 \\
z \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.379 |
|
| 15502 |
\begin{align*}
y^{\prime \prime } x +4 y^{\prime }&=18 x^{2} \\
y \left (1\right ) &= 8 \\
y^{\prime }\left (1\right ) &= -3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.381 |
|
| 15503 |
\begin{align*}
\left (x^{3}+{\mathrm e}^{y}\right ) y^{\prime }&=3 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.381 |
|
| 15504 |
\begin{align*}
x_{1}^{\prime }&=-3 x_{1}-4 x_{2}+5 x_{3}+9 x_{4} \\
x_{2}^{\prime }&=-2 x_{1}-5 x_{2}+4 x_{3}+12 x_{4} \\
x_{3}^{\prime }&=-2 x_{1}-x_{3}+2 x_{4} \\
x_{4}^{\prime }&=-2 x_{2}+2 x_{3}+3 x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.381 |
|
| 15505 |
\begin{align*}
y^{\prime }&=1+x^{2}+y^{2}+y^{2} x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.382 |
|
| 15506 |
\begin{align*}
\frac {2 x}{y}-\frac {y}{x^{2}+y^{2}}+\left (-\frac {x^{2}}{y^{2}}+\frac {x}{x^{2}+y^{2}}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.382 |
|
| 15507 |
\begin{align*}
x^{2} y^{\prime }&=-y+a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.382 |
|
| 15508 |
\begin{align*}
y^{\prime }&=\frac {y \left (x -y\right )}{x \left (x -y^{3}\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.382 |
|
| 15509 |
\begin{align*}
y^{\prime \prime }-5 y^{\prime }-6 y&={\mathrm e}^{3 t} \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.382 |
|
| 15510 |
\begin{align*}
y x -2 y^{2}-\left (x^{2}-3 y x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.383 |
|
| 15511 |
\begin{align*}
x^{2} y^{\prime \prime }-\frac {x^{2} {y^{\prime }}^{2}}{2 y}+4 y^{\prime } x +4 y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
3.383 |
|
| 15512 |
\begin{align*}
y^{\prime }-4 y&=1 \\
y \left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
3.384 |
|
| 15513 |
\begin{align*}
2 y^{\prime \prime } x +\left (2 x +1\right ) y^{\prime }-5 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
3.385 |
|
| 15514 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y^{\prime } x -4 y-x \sin \left (x \right )-\left (a \,x^{2}+12 a +4\right ) \cos \left (x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.385 |
|
| 15515 |
\begin{align*}
y_{1}^{\prime }&=3 y_{1}+6 y_{2} \\
y_{2}^{\prime }&=2 y_{1}-6 y_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.385 |
|
| 15516 |
\begin{align*}
y^{\prime \prime }+y^{\prime } x&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.386 |
|
| 15517 |
\begin{align*}
y^{\prime \prime }+y&=2 x -\pi \\
y \left (0\right ) &= 0 \\
y \left (\pi \right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.387 |
|
| 15518 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime }&=1+x^{2}-y \,\operatorname {arccot}\left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.388 |
|
| 15519 |
\begin{align*}
y^{\prime \prime }-a y^{\prime }+b \,{\mathrm e}^{2 a x} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.388 |
|
| 15520 |
\begin{align*}
y^{\prime \prime }-y&=0 \\
y \left (0\right ) &= 0 \\
y \left (2 \pi \right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.388 |
|
| 15521 |
\begin{align*}
y^{\prime \prime }-\lambda y&=0 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime }\left (L \right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.390 |
|
| 15522 |
\begin{align*}
-a y+\left (c -x \right ) y^{\prime }+y^{\prime \prime } x&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
3.390 |
|
| 15523 |
\begin{align*}
y^{\prime }&=\frac {2 x +y+1}{x +2 y-4} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.392 |
|
| 15524 |
\begin{align*}
a y y^{\prime }+2 x {y^{\prime }}^{2}+x y y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.392 |
|
| 15525 |
\begin{align*}
y^{\prime \prime }+4 y&=\left \{\begin {array}{cc} 0 & 0\le t <\pi \\ 10 & \pi \le t <2 \pi \\ 0 & 2 \pi \le t \end {array}\right . \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.392 |
|
| 15526 |
\begin{align*}
y-y^{\prime } x +\left (-x \cot \left (x \right )+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.393 |
|
| 15527 |
\begin{align*}
y^{\prime } x +y&=3 y x \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.394 |
|
| 15528 |
\begin{align*}
x -2 y x +{\mathrm e}^{y}+\left (x \,{\mathrm e}^{y}+y-x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.394 |
|
| 15529 |
\begin{align*}
\left (x +y^{2}\right ) y^{\prime }-x^{2}+y&=0 \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.394 |
|
| 15530 |
\begin{align*}
a y+y^{\prime }+2 y^{\prime \prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.394 |
|
| 15531 |
\begin{align*}
2 y^{\prime \prime } x +\left (1-x \right ) y^{\prime }-\left (x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
3.394 |
|
| 15532 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y^{\prime } x +\left (x^{2}+2\right ) y-\frac {x^{2}}{\cos \left (x \right )}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.394 |
|
| 15533 |
\begin{align*}
y^{\prime \prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.394 |
|
| 15534 |
\begin{align*}
4 y+y^{\prime \prime }&=4 \cos \left (2 x \right )+4 \sin \left (2 x \right ) \\
y \left (\pi \right ) &= 2 \pi \\
y^{\prime }\left (\pi \right ) &= 2 \pi \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.395 |
|
| 15535 |
\begin{align*}
x^{2} y^{\prime }+\left (1-2 x \right ) y&=x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.397 |
|
| 15536 |
\begin{align*}
x \left (x +3\right ) y^{\prime \prime }-9 y^{\prime }-6 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
3.398 |
|
| 15537 |
\begin{align*}
-2 y+3 y^{\prime }&={\mathrm e}^{-\frac {\pi t}{2}} \\
y \left (0\right ) &= a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.399 |
|
| 15538 |
\begin{align*}
9 {y^{\prime }}^{2}+3 x y^{4} y^{\prime }+y^{5}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.400 |
|
| 15539 |
\begin{align*}
x^{n +1} y^{\prime }&=x^{2 n} a y^{2}+b \,x^{n} y+c \,x^{m}+d \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.400 |
|
| 15540 |
\begin{align*}
y^{\prime }&=\frac {1}{y-3} \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.401 |
|
| 15541 |
\begin{align*}
y^{\prime }-3 y&=\delta \left (-2+t \right ) \\
y \left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
3.401 |
|
| 15542 |
\begin{align*}
4 y+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.401 |
|
| 15543 |
\begin{align*}
y^{\prime \prime }-y^{\prime }&=1 \\
y \left (0\right ) &= 4 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
3.401 |
|
| 15544 |
\begin{align*}
y+y^{3}+4 \left (x y^{2}-1\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.402 |
|
| 15545 |
\begin{align*}
-2 y+\left (x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.402 |
|
| 15546 |
\begin{align*}
y^{\prime }&=-\frac {2 x}{3}+1+y^{2}+\frac {2 x^{2} y}{3}+\frac {x^{4}}{9}+y^{3}+y^{2} x^{2}+\frac {x^{4} y}{3}+\frac {x^{6}}{27} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.403 |
|
| 15547 |
\begin{align*}
4 y+y^{\prime \prime }&=\sin \left (x \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.403 |
|
| 15548 |
\begin{align*}
y^{2} y^{\prime }+2 x y^{3}&=6 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.404 |
|
| 15549 |
\begin{align*}
5 {y^{\prime }}^{2}+6 y^{\prime } x -2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.404 |
|
| 15550 |
\begin{align*}
y+\left (2 x -{\mathrm e}^{y} y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.404 |
|
| 15551 |
\begin{align*}
y^{\prime \prime }+a^{2} y&=\cot \left (a x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.405 |
|
| 15552 |
\begin{align*}
y^{\prime \prime }+16 y&=\delta \left (t -2 \pi \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
3.405 |
|
| 15553 |
\begin{align*}
\left (a \,x^{2}+b \right )^{2} y^{\prime \prime }+\left (2 a x +c \right ) \left (a \,x^{2}+b \right ) y^{\prime }+k y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.406 |
|
| 15554 |
\begin{align*}
\sqrt {t^{2}+1}\, y \,{\mathrm e}^{-t}+y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.408 |
|
| 15555 |
\begin{align*}
m y^{\prime \prime }+b y^{\prime }+k y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.408 |
|
| 15556 |
\begin{align*}
2 y y^{\prime }-x y^{2}-x^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.408 |
|
| 15557 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+x_{2}+6 \,{\mathrm e}^{3 t} \\
x_{2}^{\prime }&=x_{1}+x_{2}+4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.408 |
|
| 15558 |
\begin{align*}
\left (x -2\right ) y^{\prime \prime }+\frac {y^{\prime }}{x}+\left (x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=2\). |
✓ |
✓ |
✓ |
✓ |
3.409 |
|
| 15559 |
\begin{align*}
y^{\prime } x -3 y&=x^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.410 |
|
| 15560 |
\begin{align*}
y^{\prime }&=\frac {y}{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.412 |
|
| 15561 |
\begin{align*}
2 y-x^{3}&=y^{\prime } x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.412 |
|
| 15562 |
\begin{align*}
r y^{\prime }&=\frac {\left (a^{2}-r^{2}\right ) \tan \left (y\right )}{a^{2}+r^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.413 |
|
| 15563 |
\begin{align*}
\left (\operatorname {b2} x +\operatorname {b1} \right ) y+a y^{\prime }+y^{\prime \prime } x&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
3.413 |
|
| 15564 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }&={\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.414 |
|
| 15565 |
\begin{align*}
y y^{\prime } y^{\prime \prime }&={y^{\prime }}^{3}+{y^{\prime \prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.415 |
|
| 15566 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{x}+\left (1-\frac {1}{4 x^{2}}\right ) y&=\sqrt {x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.417 |
|
| 15567 |
\begin{align*}
y^{\prime } x +x^{a} y^{2}+\frac {\left (a -b \right ) y}{2}+x^{b}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.418 |
|
| 15568 |
\begin{align*}
4 y^{\prime \prime }+4 \tan \left (x \right ) y^{\prime }-\left (5 \tan \left (x \right )^{2}+2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.418 |
|
| 15569 |
\begin{align*}
\left (t^{2}+1\right ) y^{\prime \prime }-4 y^{\prime } t +6 y&=2 t \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.418 |
|
| 15570 |
\begin{align*}
-x^{3} y+x^{4} y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.420 |
|
| 15571 |
\begin{align*}
{y^{\prime \prime }}^{2}+y^{\prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.421 |
|
| 15572 |
\begin{align*}
-y+y^{\prime } x +y^{\prime \prime }&=X \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.422 |
|
| 15573 |
\begin{align*}
{y^{\prime }}^{2}-y y^{\prime } x +y^{2} \ln \left (a y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.423 |
|
| 15574 |
\begin{align*}
x^{\prime }&=-x+2 y \\
y^{\prime }&=x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.423 |
|
| 15575 |
\begin{align*}
x_{1}^{\prime }&=x_{1}-5 x_{2} \\
x_{2}^{\prime }&=x_{1}-x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.423 |
|
| 15576 |
\begin{align*}
t^{2} x^{\prime \prime }-t x^{\prime }-3 x&=0 \\
x \left (1\right ) &= 0 \\
x^{\prime }\left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.424 |
|
| 15577 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-4 y^{\prime } x -2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
3.424 |
|
| 15578 |
\begin{align*}
y^{\prime \prime }+y&=x^{2} \cos \left (5 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.425 |
|
| 15579 |
\begin{align*}
x_{1}^{\prime }&=x_{1}-x_{2}+x_{3} \\
x_{2}^{\prime }&=x_{1}-x_{2} \\
x_{3}^{\prime }&=x_{1}-x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.425 |
|
| 15580 |
\begin{align*}
y^{\prime \prime }+\tan \left (x \right ) y^{\prime }+y \cos \left (x \right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.426 |
|
| 15581 |
\begin{align*}
b y+\left (a +x \right ) y^{\prime }+y^{\prime \prime } x&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
3.427 |
|
| 15582 |
\begin{align*}
x \left (-1+x \right ) y^{\prime \prime }+\left (-x^{2}+2 x +1\right ) y^{\prime }-\left (x +1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.427 |
|
| 15583 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=1 \\
y \left (0\right ) &= 4 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
3.427 |
|
| 15584 |
\begin{align*}
y+2 t^{2}+\left (t^{2} y-t \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.428 |
|
| 15585 |
\begin{align*}
y^{\prime } x +f \left (x \right ) \left (y^{2}-x^{2}\right )-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.430 |
|
| 15586 |
\begin{align*}
x^{\prime }&=x-y \\
y^{\prime }&=3 x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.430 |
|
| 15587 |
\begin{align*}
\left (t^{2}+1\right ) y^{\prime }&=1+y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.431 |
|
| 15588 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{a x} \\
y \left (0\right ) &= y_{0} \\
y^{\prime }\left (0\right ) &= y_{1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.431 |
|
| 15589 |
\begin{align*}
y^{\prime \prime }-y^{\prime }&=42 \,{\mathrm e}^{4 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.431 |
|
| 15590 |
\begin{align*}
y^{\prime } t +y&=t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.432 |
|
| 15591 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y^{\prime } x -4 y&=x^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.433 |
|
| 15592 |
\begin{align*}
x^{2} y^{\prime \prime }+2 y^{\prime } x -6 y&=0 \\
y \left (\frac {1}{2}\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.433 |
|
| 15593 |
\begin{align*}
2 x y^{2}+x^{2} y^{\prime }&=y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.434 |
|
| 15594 |
\begin{align*}
\left (y^{2}-2 a x +a^{2}\right ) {y^{\prime }}^{2}+2 a y y^{\prime }+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.434 |
|
| 15595 |
\begin{align*}
x_{1}^{\prime }&=x_{1}-3 x_{2}+t \,{\mathrm e}^{-2 t} \\
x_{2}^{\prime }&=3 x_{1}-5 x_{2}+t \,{\mathrm e}^{-2 t} \\
x_{3}^{\prime }&=4 x_{1}+7 x_{2}-2 x_{3}+t^{2} {\mathrm e}^{-2 t} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 6 \\
x_{2} \left (0\right ) &= 2 \\
x_{3} \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.434 |
|
| 15596 |
\begin{align*}
2 x^{2} y^{\prime \prime }-y^{\prime } x +y&=9 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.435 |
|
| 15597 |
\begin{align*}
2 y y^{\prime \prime }-{y^{\prime }}^{2}+\left (a y+b \right ) y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.435 |
|
| 15598 |
\begin{align*}
2 t +\tan \left (y\right )+\left (t -t^{2} \tan \left (y\right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
3.435 |
|
| 15599 |
\begin{align*}
a \,x^{n} f \left (y^{\prime }\right )+y^{\prime } x -y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
3.437 |
|
| 15600 |
\begin{align*}
{y^{\prime }}^{3}+y y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
3.438 |
|