| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 13401 |
\begin{align*}
y^{\prime }&=\operatorname {Heaviside}\left (t -T \right ) \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.260 |
|
| 13402 |
\begin{align*}
y^{\prime \prime }+y&=2 \sin \left (2 x \right ) \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.261 |
|
| 13403 |
\begin{align*}
x y^{\prime \prime }+\left (1-x \right ) y^{\prime }+k y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.261 |
|
| 13404 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (-p^{2}+x^{2}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.261 |
|
| 13405 |
\begin{align*}
x \left (1-2 x \ln \left (x \right )\right ) y^{\prime \prime }+\left (1+4 x^{2} \ln \left (x \right )\right ) y^{\prime }-\left (4 x +2\right ) y&={\mathrm e}^{2 x} \left (1-2 x \ln \left (x \right )\right )^{2} \\
y \left (\frac {1}{2}\right ) &= \frac {{\mathrm e}}{2} \\
y^{\prime }\left (\frac {1}{2}\right ) &= {\mathrm e} \left (2+\ln \left (2\right )\right ) \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
1.261 |
|
| 13406 |
\begin{align*}
3 y y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.261 |
|
| 13407 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }&=4 \,{\mathrm e}^{x} \left (\cos \left (x \right )+\sin \left (x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.261 |
|
| 13408 |
\begin{align*}
y^{\prime }&=-k \left (-1+y\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.262 |
|
| 13409 |
\begin{align*}
y^{\prime \prime }-2 b x y^{\prime }+b^{2} x^{2} y&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.262 |
|
| 13410 |
\begin{align*}
x^{\prime }+3 x&={\mathrm e}^{-2 t} \\
x \left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.262 |
|
| 13411 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}+4 x_{2}+8 \sin \left (2 t \right ) \\
x_{2}^{\prime }&=-2 x_{1}-2 x_{2}+8 \cos \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.263 |
|
| 13412 |
\begin{align*}
y^{\prime }&=\frac {y}{x}+2 x +1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.263 |
|
| 13413 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.263 |
|
| 13414 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (9 x^{2}-4\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.263 |
|
| 13415 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+5 y&={\mathrm e}^{x} \tan \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.263 |
|
| 13416 |
\begin{align*}
\left (t^{2}-y^{2}\right ) y^{\prime }+y^{2}+y t&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.263 |
|
| 13417 |
\begin{align*}
4 y^{\prime \prime }+8 y^{\prime }&=x \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.263 |
|
| 13418 |
\begin{align*}
x y^{\prime \prime }+\left (1-x \right ) y^{\prime }+k y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.264 |
|
| 13419 |
\begin{align*}
y^{\prime \prime }+\tan \left (x \right ) y^{\prime }&=\sin \left (2 x \right ) \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.264 |
|
| 13420 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.265 |
|
| 13421 |
\begin{align*}
x^{\prime }-y^{\prime }-2 x+4 y&=t \\
x^{\prime }+y^{\prime }-x-y&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.265 |
|
| 13422 |
\begin{align*}
x-y+z^{\prime }&=0 \\
x^{\prime }-y&=1 \\
y^{\prime }-y+z&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.265 |
|
| 13423 |
\begin{align*}
x \left (x +1\right ) y^{\prime \prime }+\left (x +2\right ) y^{\prime }-y&=x +\frac {1}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.265 |
|
| 13424 |
\begin{align*}
x^{\prime \prime }+4 x^{\prime }+13 x&=f \left (t \right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.266 |
|
| 13425 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }&=9 x \,{\mathrm e}^{-x}-6 x^{2}+4 \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.266 |
|
| 13426 |
\begin{align*}
y^{\prime \prime }+y&=x^{2} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.266 |
|
| 13427 |
\begin{align*}
e y^{\prime \prime }&=-P L +\left (w L +P \right ) x -\frac {w \left (L^{2}+x^{2}\right )}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.266 |
|
| 13428 |
\begin{align*}
x^{\prime }&=x-y \\
y^{\prime }&=3 x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.266 |
|
| 13429 |
\begin{align*}
y^{\prime }&=3 y \left (1-y\right ) \\
y \left (0\right ) &= {\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
1.267 |
|
| 13430 |
\begin{align*}
y^{2}-\frac {y}{2 \sqrt {t}}+\left (2 y t -\sqrt {t}+1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.267 |
|
| 13431 |
\begin{align*}
4 y+y^{\prime \prime }&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.267 |
|
| 13432 |
\begin{align*}
3 {y^{\prime }}^{3}-x^{4} y^{\prime }+2 x^{3} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.268 |
|
| 13433 |
\begin{align*}
4 y^{\prime \prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.268 |
|
| 13434 |
\begin{align*}
x^{\prime }+x+2 y&=1 \\
2 x+y^{\prime }-2 y&=t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.268 |
|
| 13435 |
\begin{align*}
y^{\prime }&=x +y \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.269 |
|
| 13436 |
\begin{align*}
\frac {x}{x^{2}+y^{2}}+\frac {y}{x^{2}}+\left (\frac {y}{x^{2}+y^{2}}-\frac {1}{x}\right ) y^{\prime }&=0 \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.269 |
|
| 13437 |
\begin{align*}
x^{\prime }+x+2 y&=8 \\
2 x+y^{\prime }-2 y&=2 \,{\mathrm e}^{-t}-8 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.269 |
|
| 13438 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.269 |
|
| 13439 |
\begin{align*}
5 {y^{\prime }}^{2}+6 x y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.269 |
|
| 13440 |
\begin{align*}
x^{\prime \prime }&=50 \sin \left (5 t \right ) \\
x \left (0\right ) &= 8 \\
x^{\prime }\left (0\right ) &= -10 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.270 |
|
| 13441 |
\begin{align*}
\left (-x^{2}+x \right ) y^{\prime \prime }+4 y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.270 |
|
| 13442 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=-\frac {1}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.270 |
|
| 13443 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+5 y&=25 t -100 \delta \left (t -\pi \right ) \\
y \left (0\right ) &= -2 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.271 |
|
| 13444 |
\begin{align*}
y^{\prime \prime }&={y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.271 |
|
| 13445 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (x +1\right ) y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.271 |
|
| 13446 |
\begin{align*}
y^{\prime \prime }&=y^{\prime } \\
y \left (0\right ) &= 8 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.271 |
|
| 13447 |
\begin{align*}
y^{\prime }+y&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.272 |
|
| 13448 |
\begin{align*}
x^{2} y^{\prime \prime }-3 x y^{\prime }+4 \left (x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.272 |
|
| 13449 |
\begin{align*}
\left (-a^{2}+b^{2}\right ) y+2 a \cot \left (a x \right ) y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.272 |
|
| 13450 |
\begin{align*}
y^{\prime \prime \prime \prime }+10 y^{\prime \prime }+9 y&=\sin \left (2 x \right ) \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.272 |
|
| 13451 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=x \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.272 |
|
| 13452 |
\begin{align*}
x y^{\prime \prime }+4 y^{\prime }&=18 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.272 |
|
| 13453 |
\begin{align*}
y^{\prime }-5 y&=0 \\
y \left (0\right ) &= 2 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.272 |
|
| 13454 |
\begin{align*}
x^{\prime \prime }+\left (x+2\right ) x^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.272 |
|
| 13455 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y&=g \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.273 |
|
| 13456 |
\begin{align*}
y^{\prime \prime }+2 y&=x^{3}+x^{2}+{\mathrm e}^{-2 x}+\cos \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.273 |
|
| 13457 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.273 |
|
| 13458 |
\begin{align*}
\left (x -a \right )^{2} \left (x -b \right )^{2} y^{\prime \prime }-c y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.273 |
|
| 13459 |
\begin{align*}
y^{\prime \prime }&=3 t^{4}-2 t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.273 |
|
| 13460 |
\begin{align*}
\left (x^{2}-2 x \right ) y^{\prime \prime }+\left (1+3 x \right ) y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.273 |
|
| 13461 |
\begin{align*}
8 x^{2} y^{\prime \prime }+10 x y^{\prime }+\left (x -1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.273 |
|
| 13462 |
\begin{align*}
x \left (1-x \right ) y^{\prime \prime }+\left (\frac {1}{2}-3 x \right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.274 |
|
| 13463 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.274 |
|
| 13464 |
\begin{align*}
x^{2} \cos \left (x \right ) y^{\prime \prime }+\left (x \sin \left (x \right )-2 \cos \left (x \right )\right ) \left (x y^{\prime }-y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.274 |
|
| 13465 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+9 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.275 |
|
| 13466 |
\begin{align*}
x y^{\prime \prime }+\frac {y^{\prime }}{2}+\frac {y}{4}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.275 |
|
| 13467 |
\begin{align*}
x y^{\prime \prime }-4 y^{\prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.276 |
|
| 13468 |
\begin{align*}
x y {y^{\prime }}^{2}+\left (x y^{2}-1\right ) y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.276 |
|
| 13469 |
\begin{align*}
\left (3 y-2\right ) {y^{\prime }}^{2}-4+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.276 |
|
| 13470 |
\begin{align*}
a \,x^{3} y^{\prime } y^{\prime \prime }+b y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
1.276 |
|
| 13471 |
\begin{align*}
x^{\prime }&=9 x-3 y-6 t \\
y^{\prime }&=-x+11 y+10 t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.276 |
|
| 13472 |
\begin{align*}
x^{\prime }&=4 y \\
y^{\prime }&=-x-2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.276 |
|
| 13473 |
\begin{align*}
y^{\prime }&=y-x^{2}+2 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.276 |
|
| 13474 |
\begin{align*}
2 x^{\prime }+y^{\prime }-x&=t +y \\
x^{\prime }+y^{\prime }&=2 x+3 y+{\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.277 |
|
| 13475 |
\begin{align*}
x^{2} y^{\prime \prime }+x^{3} y^{\prime }+\left (x^{2}-2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.277 |
|
| 13476 |
\begin{align*}
5 {y^{\prime }}^{2}+3 x y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.278 |
|
| 13477 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+y&={\mathrm e}^{-t}+3 \delta \left (-3+t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 3 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.279 |
|
| 13478 |
\begin{align*}
x \left (-1+{y^{\prime }}^{2}\right )&=2 y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.279 |
|
| 13479 |
\begin{align*}
{y^{\prime }}^{2}-2 \left (x -y\right ) y^{\prime }-4 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.279 |
|
| 13480 |
\begin{align*}
y^{\prime }&=y^{2}-4 y-12 \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
1.279 |
|
| 13481 |
\begin{align*}
t^{2} y^{\prime \prime }-2 y&=3 t^{2}-1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.280 |
|
| 13482 |
\begin{align*}
x^{\prime }&=3 x-2 y+2 t^{2} \\
y^{\prime }&=5 x+y-1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.280 |
|
| 13483 |
\begin{align*}
2 {y^{\prime }}^{2} \left (-x y^{\prime }+y\right )&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.280 |
|
| 13484 |
\begin{align*}
y^{\prime }&=\ln \left (1+x^{2}+y^{2}\right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.281 |
|
| 13485 |
\begin{align*}
\left (y+1\right ) y^{\prime }&=y \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.281 |
|
| 13486 |
\begin{align*}
2 y+y^{\prime }&=y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.281 |
|
| 13487 |
\begin{align*}
2 t^{2} y^{\prime \prime }-3 t y^{\prime }-3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.281 |
|
| 13488 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+2 y&=\frac {{\mathrm e}^{-x}}{\sin \left (x \right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.281 |
|
| 13489 |
\begin{align*}
2 y^{\prime }+2 y+w^{\prime }-w&=x +1 \\
y^{\prime }+3 y+w^{\prime }+w&=4 x +14 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.281 |
|
| 13490 |
\begin{align*}
n \left (n +1\right ) y-2 x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*}
Series expansion around \(x=\infty \). |
✓ |
✓ |
✓ |
✓ |
1.282 |
|
| 13491 |
\begin{align*}
y^{\prime \prime }+2&=\cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.282 |
|
| 13492 |
\begin{align*}
x_{1}^{\prime }&=-2 x_{1}+9 x_{4} \\
x_{2}^{\prime }&=4 x_{1}+2 x_{2}-10 x_{4} \\
x_{3}^{\prime }&=-x_{3}+8 x_{4} \\
x_{4}^{\prime }&=x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.283 |
|
| 13493 |
\begin{align*}
4 y^{\prime \prime }+9 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.283 |
|
| 13494 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (\cos \left (x \right )-1\right ) y^{\prime }+y \,{\mathrm e}^{x}&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.283 |
|
| 13495 |
\begin{align*}
{y^{\prime }}^{2} x^{2}-4 x \left (y+2\right ) y^{\prime }+4 \left (y+2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.283 |
|
| 13496 |
\begin{align*}
x y^{\prime \prime }+2 y^{\prime }-y x -{\mathrm e}^{x}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.283 |
|
| 13497 |
\begin{align*}
y^{\prime \prime }+y&=2 \sin \left (2 x \right ) \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.283 |
|
| 13498 |
\begin{align*}
y^{\prime }+2 y&=\left \{\begin {array}{cc} 0 & 0\le t <1 \\ -3 & 1\le t \end {array}\right . \\
y \left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
1.283 |
|
| 13499 |
\begin{align*}
\left (2 x^{2}+3 x \right ) y^{\prime \prime }-6 \left (x +1\right ) y^{\prime }+6 y&=6 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.283 |
|
| 13500 |
\begin{align*}
\left (1-t \right ) y^{\prime \prime }+t y^{\prime }-y&=2 \left (t -1\right )^{2} {\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.284 |
|