| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 13401 |
\begin{align*}
y^{\prime \prime } x +2 y^{\prime }&=6 \\
y \left (1\right ) &= 4 \\
y^{\prime }\left (1\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.234 |
|
| 13402 |
\begin{align*}
y^{\prime \prime \prime }+8 y&=-12 \,{\mathrm e}^{-2 t} \\
y \left (0\right ) &= -8 \\
y^{\prime }\left (0\right ) &= 24 \\
y^{\prime \prime }\left (0\right ) &= -46 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.234 |
|
| 13403 |
\begin{align*}
y^{\prime }&=4 y \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.235 |
|
| 13404 |
\begin{align*}
\left (x^{2}+x \right ) y^{\prime \prime }+\left (-x^{2}+2\right ) y^{\prime }-\left (2+x \right ) y&=x \left (x +1\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.235 |
|
| 13405 |
\begin{align*}
2 x^{2} y^{\prime \prime }+y^{\prime } x +\left (x -5\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.235 |
|
| 13406 |
\begin{align*}
y^{\prime }+a y-c \,{\mathrm e}^{b x}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.235 |
|
| 13407 |
\begin{align*}
2 y-\left (2+x \right ) y^{\prime }+\left (2+x \right )^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.236 |
|
| 13408 |
\begin{align*}
y^{\prime }&=x +y \\
y \left (-2\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.236 |
|
| 13409 |
\begin{align*}
u^{\prime \prime }+\frac {4 u^{\prime }}{x}-a^{2} u&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.237 |
|
| 13410 |
\begin{align*}
y^{\prime \prime } x +\left (a \,x^{n}+b \right ) y^{\prime }+a \left (b -1\right ) x^{n -1} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.237 |
|
| 13411 |
\begin{align*}
y^{\prime \prime } x +4 y^{\prime }+\frac {12 y}{\left (2+x \right )^{2}}&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.237 |
|
| 13412 |
\begin{align*}
x_{1}^{\prime }&=-5 x_{1}+x_{2}-4 x_{3}-x_{4} \\
x_{2}^{\prime }&=-3 x_{2} \\
x_{3}^{\prime }&=x_{1}-x_{2}+x_{4} \\
x_{4}^{\prime }&=2 x_{1}-x_{2}+2 x_{3}-2 x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.237 |
|
| 13413 |
\begin{align*}
x^{\prime }&=x+2 y+{\mathrm e}^{t} \\
y^{\prime }&=x-2 y-{\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.237 |
|
| 13414 |
\begin{align*}
x^{\prime }&=7 x+4 y-4 z \\
y^{\prime }&=4 x-8 y-z \\
z^{\prime }&=-4 x-y-8 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.237 |
|
| 13415 |
\begin{align*}
y^{\prime \prime }+a y^{\prime }+b x \left (-b \,x^{3}+a x +2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.238 |
|
| 13416 |
\begin{align*}
y^{\prime \prime \prime }+4 y^{\prime \prime }-6 y^{\prime }-12 y&=\sinh \left (x \right )^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.238 |
|
| 13417 |
\begin{align*}
y^{\prime }&=x +2 z \\
z^{\prime }&=3 x +y-z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.238 |
|
| 13418 |
\begin{align*}
\sinh \left (x \right ) {y^{\prime }}^{2}+y^{\prime \prime }&=y x \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.239 |
|
| 13419 |
\begin{align*}
y^{\prime \prime }+9 y&=25 x \cos \left (2 x \right )+3 \sin \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.239 |
|
| 13420 |
\begin{align*}
3 y^{2} y^{\prime }+y^{3}&={\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.240 |
|
| 13421 |
\begin{align*}
a \left (1+a \right ) y-2 a x y^{\prime }+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.240 |
|
| 13422 |
\begin{align*}
y^{\prime \prime }+y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.240 |
|
| 13423 |
\begin{align*}
x^{4} y^{\prime \prime }+2 x^{3} y^{\prime }+n^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.240 |
|
| 13424 |
\begin{align*}
y^{\prime \prime }&=-9 y \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.240 |
|
| 13425 |
\begin{align*}
y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+14 y^{\prime \prime }-20 y^{\prime }+25 y&={\mathrm e}^{x} \left (\left (2+6 x \right ) \cos \left (2 x \right )+3 \sin \left (2 x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.241 |
|
| 13426 |
\begin{align*}
x^{\prime }&=3 x-2 y+2 t^{2} \\
y^{\prime }&=5 x+y-1 \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= {\frac {534}{2197}} \\
y \left (0\right ) &= {\frac {567}{2197}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.241 |
|
| 13427 |
\begin{align*}
x^{\prime }&=4 x+5 y+4 \,{\mathrm e}^{t} \cos \left (t \right ) \\
y^{\prime }&=-2 x-2 y \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.242 |
|
| 13428 |
\begin{align*}
x^{\prime \prime }+\frac {x^{\prime }}{100}+4 x&=\cos \left (2 t \right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.242 |
|
| 13429 |
\begin{align*}
y^{\prime \prime }+y^{\prime } x +\left (x^{2}-4\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.242 |
|
| 13430 |
\begin{align*}
2 y^{\prime \prime } x +y^{\prime }+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.243 |
|
| 13431 |
\begin{align*}
x^{2} y^{\prime \prime }-4 y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.244 |
|
| 13432 |
\begin{align*}
x^{\prime \prime }+2 x^{\prime }+2 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.244 |
|
| 13433 |
\begin{align*}
4 y+y^{\prime \prime }&=\sin \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.245 |
|
| 13434 |
\begin{align*}
y^{\prime \prime }-y&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.245 |
|
| 13435 |
\begin{align*}
y^{\prime \prime } x +y^{\prime }+y x&=0 \\
y \left (1\right ) &= 2 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.245 |
|
| 13436 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 y^{\prime } x +6 y&=0 \\
y \left (\frac {1}{2}\right ) &= 10 \\
\end{align*} Series expansion around \(x={\frac {1}{2}}\). |
✓ |
✓ |
✓ |
✓ |
1.245 |
|
| 13437 |
\begin{align*}
y^{\prime \prime }-y&={\mathrm e}^{x}+\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.245 |
|
| 13438 |
\begin{align*}
\left (x^{2}+2\right ) y^{\prime \prime }-3 y^{\prime }+\left (x -1\right ) y&=0 \\
y \left (1\right ) &= -20 \\
y^{\prime }\left (1\right ) &= -2 \\
\end{align*} Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
1.245 |
|
| 13439 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-6 y&=0 \\
y \left (0\right ) &= 7 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.246 |
|
| 13440 |
\begin{align*}
{y^{\prime }}^{2}+a y^{\prime }+b&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.246 |
|
| 13441 |
\begin{align*}
\left (x^{3}+1\right ) y^{\prime \prime }-y^{\prime } x +2 x^{2} y&=0 \\
\end{align*} Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
1.246 |
|
| 13442 |
\begin{align*}
2 x^{2} y^{\prime \prime }+2 y^{\prime } x -y x&=\sin \left (x \right ) \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.246 |
|
| 13443 |
\begin{align*}
x^{2} y^{\prime \prime }+3 y^{\prime } x -8 y&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.246 |
|
| 13444 |
\begin{align*}
\left (x -1\right )^{2} y^{\prime \prime }-\left (x^{2}-x \right ) y^{\prime }+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.246 |
|
| 13445 |
\begin{align*}
y^{\prime }+2 y x&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.247 |
|
| 13446 |
\begin{align*}
y^{\prime \prime }&=-\frac {2 \left (x -2\right ) y^{\prime }}{x \left (x -1\right )}+\frac {2 \left (x +1\right ) y}{x^{2} \left (x -1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.247 |
|
| 13447 |
\begin{align*}
x^{2} y^{\prime \prime }-3 y^{\prime } x +4 y&=x^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.248 |
|
| 13448 |
\begin{align*}
y^{\prime \prime }-y^{\prime } x -y x -x^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.248 |
|
| 13449 |
\begin{align*}
2 x^{2} y^{\prime \prime }+2 y^{\prime } x -y x&=\cos \left (x \right ) \sin \left (x \right ) \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.248 |
|
| 13450 |
\begin{align*}
n \left (n +1\right ) y-2 y^{\prime } x +\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.248 |
|
| 13451 |
\begin{align*}
16 y^{2} {y^{\prime }}^{3}+2 y^{\prime } x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.249 |
|
| 13452 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }&=20 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.249 |
|
| 13453 |
\begin{align*}
x^{\prime \prime }&=t^{2}-4 t +8 \\
x \left (0\right ) &= 1 \\
x^{\prime }\left (0\right ) &= -3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.249 |
|
| 13454 |
\begin{align*}
y y^{\prime }+2 x {y^{\prime }}^{2}+x y y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.250 |
|
| 13455 |
\begin{align*}
y^{\prime \prime \prime }+y&=18 \,{\mathrm e}^{2 t} \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 13 \\
y^{\prime \prime }\left (0\right ) &= -1 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.250 |
|
| 13456 |
\begin{align*}
x^{2} y^{\prime \prime }+7 y^{\prime } x +25 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.251 |
|
| 13457 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (x +12\right ) y&=x^{2}+x \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.251 |
|
| 13458 |
\begin{align*}
y-y^{\prime } x +\left (x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.251 |
|
| 13459 |
\begin{align*}
b y+a y {y^{\prime }}^{2}+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.251 |
|
| 13460 |
\begin{align*}
x^{\prime \prime }-x^{3}&=0 \\
x \left (0\right ) &= 0 \\
x \left (b \right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.251 |
|
| 13461 |
\begin{align*}
f \left (x \right )+a y y^{\prime }+x {y^{\prime }}^{2}+x y y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
1.252 |
|
| 13462 |
\begin{align*}
y^{\prime \prime }-a^{2} y&=\frac {6 y}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.252 |
|
| 13463 |
\begin{align*}
\left (x +1\right ) y^{\prime \prime }+\left (1-x \right ) y^{\prime }+y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.252 |
|
| 13464 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.253 |
|
| 13465 |
\begin{align*}
x^{\prime }&=t \cos \left (t^{2}\right ) \\
x \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.253 |
|
| 13466 |
\begin{align*}
x^{\prime }-3 x-6 y&=9-9 t \\
y^{\prime }+3 x+3 y&=9 t \,{\mathrm e}^{-3 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.253 |
|
| 13467 |
\begin{align*}
2 t^{2} y^{\prime \prime }+3 y^{\prime } t -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.254 |
|
| 13468 |
\begin{align*}
y^{\prime \prime }+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.254 |
|
| 13469 |
\begin{align*}
2 x \left (x +1\right ) y^{\prime \prime }+3 \left (x +1\right ) y^{\prime }-y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.255 |
|
| 13470 |
\begin{align*}
y^{\prime \prime }+9 y&=\left (1+\sin \left (3 x \right )\right ) \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.256 |
|
| 13471 |
\begin{align*}
y^{\prime \prime }+a^{2} \sin \left (y\right )-\beta \sin \left (x \right )&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.256 |
|
| 13472 |
\begin{align*}
x \left (x +1\right ) y^{\prime \prime }+\left (1-2 x \right ) y^{\prime }-10 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.256 |
|
| 13473 |
\begin{align*}
\left (1-x \right ) x y^{\prime \prime }+\left (\frac {3}{2}-2 x \right ) y^{\prime }+2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.257 |
|
| 13474 |
\begin{align*}
y^{\prime }&=2 y+1 \\
y \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.257 |
|
| 13475 |
\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*} |
✓ |
✓ |
✓ |
✓ |
1.257 |
|
| 13476 |
\begin{align*}
y^{\prime \prime }+y&=0 \\
y \left (0\right ) &= 0 \\
y \left (\frac {\pi }{2}\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.257 |
|
| 13477 |
\begin{align*}
4 x^{2} y^{\prime \prime }+8 y^{\prime } x +\left (2 x -3\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.257 |
|
| 13478 |
\begin{align*}
x^{2} y^{\prime \prime \prime \prime }&=2 y^{\prime \prime \prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.258 |
|
| 13479 |
\begin{align*}
y^{\prime \prime } x +\left (3 x +4\right ) y^{\prime }+3 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.258 |
|
| 13480 |
\begin{align*}
x^{\prime }&=x+y+z \\
y^{\prime }&=2 x+5 y+3 z \\
z^{\prime }&=3 x+9 y+5 z \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= -2 \\
y \left (0\right ) &= -1 \\
z \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.258 |
|
| 13481 |
\begin{align*}
y^{\prime \prime }&=2 x +\left (x^{2}-y^{\prime }\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.258 |
|
| 13482 |
\begin{align*}
z^{\prime }+4 i z&={\mathrm e}^{8 i t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.258 |
|
| 13483 |
\begin{align*}
\left (x +1\right ) \left (3+2 x \right ) y^{\prime \prime }+2 \left (2+x \right ) y^{\prime }-2 y&=\left (3+2 x \right )^{2} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.259 |
|
| 13484 |
\begin{align*}
y^{\prime \prime }+\left (y+3 f \left (x \right )\right ) y^{\prime }-y^{3}+f \left (x \right ) y^{2}+y \left (2 f \left (x \right )^{2}+f^{\prime }\left (x \right )\right )&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.259 |
|
| 13485 |
\begin{align*}
-3 y+y^{\prime } x +2 x^{2} y^{\prime \prime }&=0 \\
y \left (1\right ) &= 1 \\
y^{\prime }\left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.259 |
|
| 13486 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{4}+y&=\delta \left (t -1\right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.259 |
|
| 13487 |
\begin{align*}
y y^{\prime \prime }-{y^{\prime }}^{2}&=\ln \left (y\right ) y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.259 |
|
| 13488 |
\begin{align*}
x_{1}^{\prime }&=-x_{2} \\
x_{2}^{\prime }&=x_{1} \\
x_{3}^{\prime }&=x_{1}+2 x_{3}+x_{4} \\
x_{4}^{\prime }&=x_{2}+2 x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.260 |
|
| 13489 |
\begin{align*}
4 y^{2} {y^{\prime }}^{3}-2 y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.260 |
|
| 13490 |
\begin{align*}
4 y^{\prime \prime } x +3 y^{\prime }+3 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.260 |
|
| 13491 |
\begin{align*}
4 y+y^{\prime \prime }&=\cot \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.260 |
|
| 13492 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y^{\prime } x -4 y&=x^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.260 |
|
| 13493 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-2 y&=\frac {t^{2}+1}{-t^{2}+1} \\
y \left (2\right ) &= y_{1} \\
y^{\prime }\left (2\right ) &= y_{1} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.260 |
|
| 13494 |
\begin{align*}
y^{\prime }&=x +y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.260 |
|
| 13495 |
\begin{align*}
y&=y^{\prime } x +\frac {1}{y^{\prime }} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.261 |
|
| 13496 |
\begin{align*}
y^{\prime }+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.262 |
|
| 13497 |
\begin{align*}
f \left (\frac {y^{\prime \prime }}{y^{\prime }}\right ) y^{\prime }&={y^{\prime }}^{2}-y y^{\prime \prime } \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
1.262 |
|
| 13498 |
\begin{align*}
\left (x^{2}+2 x \right ) y^{\prime \prime }-2 \left (x +1\right ) y^{\prime }+2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.262 |
|
| 13499 |
\begin{align*}
\cos \left (x \right ) y^{\prime }+\frac {y}{x}&=x +\sin \left (x \right ) \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✗ |
✗ |
1.262 |
|
| 13500 |
\begin{align*}
-1+3 y^{2} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.262 |
|