| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 13301 |
\begin{align*}
4 x^{2} y^{\prime \prime }+\left (1-4 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.363 |
|
| 13302 |
\begin{align*}
s^{\prime \prime }+16 s^{\prime }+64 s&=0 \\
s \left (0\right ) &= 0 \\
s^{\prime }\left (0\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.363 |
|
| 13303 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime } x +2 y p&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.364 |
|
| 13304 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+4 y&={\mathrm e}^{x} \cos \left (x \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.364 |
|
| 13305 |
\begin{align*}
x^{2} y^{\prime \prime }-3 y^{\prime } x +4 \left (x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.365 |
|
| 13306 |
\begin{align*}
y^{\prime \prime }-y^{\prime }&=6 x^{5} {\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.365 |
|
| 13307 |
\begin{align*}
y^{\prime \prime }+\left (x +3\right ) y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.365 |
|
| 13308 |
\begin{align*}
u^{\prime \prime }+2 u&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.366 |
|
| 13309 |
\begin{align*}
y^{\prime \prime }+{\mathrm e}^{x} y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.366 |
|
| 13310 |
\begin{align*}
{y^{\prime \prime \prime }}^{2}&={y^{\prime \prime }}^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.366 |
|
| 13311 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=0 \\
y \left (2\right ) &= 1 \\
y^{\prime }\left (2\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.366 |
|
| 13312 |
\begin{align*}
y^{\prime \prime }-y&=12 \,{\mathrm e}^{x} x^{2}+3 \,{\mathrm e}^{2 x}+10 \cos \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.368 |
|
| 13313 |
\begin{align*}
f \left (x \right )^{2} y^{\prime \prime }&=3 f \left (x \right )^{3}-a f \left (x \right )^{5}-f \left (x \right )^{2} y+3 f \left (x \right ) f^{\prime }\left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.368 |
|
| 13314 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (x^{2}-\frac {1}{4}\right ) y&=g \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.368 |
|
| 13315 |
\(\left [\begin {array}{ccc} 2 & 0 & 0 \\ 1 & 0 & 2 \\ 0 & 0 & 3 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
2.368 |
|
| 13316 |
\begin{align*}
y y^{\prime \prime }+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.369 |
|
| 13317 |
\begin{align*}
x^{2} \cos \left (x \right ) y^{\prime \prime }+\left (x \sin \left (x \right )-2 \cos \left (x \right )\right ) \left (-y+y^{\prime } x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.369 |
|
| 13318 |
\begin{align*}
{\mathrm e}^{y^{\prime }}&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.369 |
|
| 13319 |
\begin{align*}
\left (\cos \left (\lambda x \right ) a +b \right ) y^{\prime }&=y^{2}+c \cos \left (\mu x \right ) y-d^{2}+c d \cos \left (\mu x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.371 |
|
| 13320 |
\begin{align*}
\left (x +1\right ) y^{\prime }+y&=\cos \left (x \right ) \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.372 |
|
| 13321 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (-3 x^{2}+x \right ) y^{\prime }+{\mathrm e}^{x} y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
2.372 |
|
| 13322 |
\begin{align*}
-2 y^{\prime }+y^{\prime \prime } x&=x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.372 |
|
| 13323 |
\begin{align*}
y^{\prime }&=\frac {1}{\left (2+y\right )^{2}} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.372 |
|
| 13324 |
\begin{align*}
\left (x^{2}+a \right ) y^{\prime \prime }-2 y^{\prime } x +2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.372 |
|
| 13325 |
\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 \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.372 |
|
| 13326 |
\begin{align*}
\left (1+t \right ) y+y^{\prime } t&={\mathrm e}^{2 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.373 |
|
| 13327 |
\begin{align*}
u^{\prime \prime }+\frac {4 u^{\prime }}{x}-a^{2} u&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.373 |
|
| 13328 |
\begin{align*}
y^{\prime \prime }+\tan \left (x \right ) y^{\prime }-y \cos \left (x \right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.373 |
|
| 13329 |
\begin{align*}
y^{\prime } x -3 y&=x^{3} \\
y \left (1\right ) &= 10 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.374 |
|
| 13330 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=\delta \left (t -5\right )+\operatorname {Heaviside}\left (t -10\right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= {\frac {1}{2}} \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
2.374 |
|
| 13331 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=x +1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.374 |
|
| 13332 |
\begin{align*}
y^{\prime \prime } x +2 y^{\prime }-y x&=2 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.374 |
|
| 13333 |
\begin{align*}
y^{\prime \prime } x +3 y^{\prime }+4 x^{3} y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.375 |
|
| 13334 |
\begin{align*}
y^{\prime \prime }&=-\frac {a \left (n -1\right ) \sin \left (2 a x \right ) y^{\prime }}{\cos \left (a x \right )^{2}}-\frac {n \,a^{2} \left (\left (n -1\right ) \sin \left (a x \right )^{2}+\cos \left (a x \right )^{2}\right ) y}{\cos \left (a x \right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.375 |
|
| 13335 |
\begin{align*}
x^{n} y^{\prime \prime }+\left (a x +b \right ) y^{\prime }-a y&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
2.375 |
|
| 13336 |
\begin{align*}
y^{\prime }&=y^{2}-4 y+2 \\
y \left (0\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
2.375 |
|
| 13337 |
\begin{align*}
y^{\prime \prime }-4 y&=x \,{\mathrm e}^{2 x} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.375 |
|
| 13338 |
\begin{align*}
y^{\prime \prime }-y&=x \,{\mathrm e}^{x} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.375 |
|
| 13339 |
\begin{align*}
y^{\prime }&=3 \left (y+7\right ) x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.376 |
|
| 13340 |
\begin{align*}
x^{\prime }&=2 x+5 y \\
y^{\prime }&=-2 x+\cos \left (3 t \right ) \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 2 \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.376 |
|
| 13341 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime } x +4 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.376 |
|
| 13342 |
\begin{align*}
\left (a +y\right ) y^{\prime \prime }&={y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.378 |
|
| 13343 |
\begin{align*}
y_{1}^{\prime }&=2 y_{1}-5 y_{2} \\
y_{2}^{\prime }&=y_{1}-2 y_{2} \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 1 \\
y_{2} \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.378 |
|
| 13344 |
\begin{align*}
x \left (2 x +3 y\right ) y^{\prime }+3 \left (x +y\right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.379 |
|
| 13345 |
\begin{align*}
\left (-x +3\right ) y-x \left (4-x \right ) y^{\prime }+2 \left (-x +2\right ) x^{2} y^{\prime \prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
2.379 |
|
| 13346 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }&=1+{\mathrm e}^{x}+\cos \left (x \right )+\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.379 |
|
| 13347 |
\begin{align*}
y^{\prime \prime }-y^{\prime } x -y x -3 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.380 |
|
| 13348 |
\begin{align*}
16 x^{2} y^{\prime \prime }+32 y^{\prime } x +\left (x^{4}-12\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.381 |
|
| 13349 |
\begin{align*}
\left (\ln \left (y\right )+x \right ) y^{\prime }-1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.381 |
|
| 13350 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }&=9 \,{\mathrm e}^{-3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.381 |
|
| 13351 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x -16 y&=\ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.381 |
|
| 13352 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime } x +2 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.381 |
|
| 13353 |
\begin{align*}
y^{\prime }+\frac {y}{x}&=\frac {7}{x^{2}}+3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.382 |
|
| 13354 |
\begin{align*}
y^{2} \left (y y^{\prime }-x \right )+x^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.382 |
|
| 13355 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime } x -4 y&={\mathrm e}^{x} \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
2.382 |
|
| 13356 |
\begin{align*}
y^{\prime \prime }-y^{\prime } x -y x -x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.382 |
|
| 13357 |
\begin{align*}
2 x^{2} y^{\prime \prime }-\left (2 x^{2}+l -5 x \right ) y^{\prime }-\left (4 x -1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.382 |
|
| 13358 |
\begin{align*}
2 x^{2} y^{\prime \prime }+7 x \left (x +1\right ) y^{\prime }-3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.382 |
|
| 13359 |
\begin{align*}
-y+y^{\prime }+y^{\prime \prime } x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.382 |
|
| 13360 |
\begin{align*}
y^{\prime }&=-1+{\mathrm e}^{y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.383 |
|
| 13361 |
\begin{align*}
y^{\prime }-4 y&=t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.383 |
|
| 13362 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=2 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.383 |
|
| 13363 |
\begin{align*}
3 x-y^{\prime }-2 y&=8 t \\
x^{\prime }-2 x+y&=16 \,{\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.384 |
|
| 13364 |
\begin{align*}
x {y^{\prime }}^{2}+x y y^{\prime \prime }&=y y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.385 |
|
| 13365 |
\begin{align*}
y^{\prime \prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.385 |
|
| 13366 |
\begin{align*}
\left (x^{2}-3 x \right ) y^{\prime \prime }+\left (2+x \right ) y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.387 |
|
| 13367 |
\begin{align*}
y^{\prime \prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.387 |
|
| 13368 |
\begin{align*}
y^{\prime }&=\left (1+t \right ) \left (1+y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.388 |
|
| 13369 |
\begin{align*}
2 y+y^{\prime }&=3 \,{\mathrm e}^{2 x} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.388 |
|
| 13370 |
\begin{align*}
y^{\prime }+2 x y \left (1-a \,x^{2} y^{2}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.388 |
|
| 13371 |
\begin{align*}
y^{\prime \prime \prime }-y^{\prime }&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= -1 \\
y^{\prime \prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.388 |
|
| 13372 |
\begin{align*}
4 x^{2} y^{\prime \prime }+\left (-8 x^{2}+4 x \right ) y^{\prime }+\left (4 x^{2}-4 x -1\right ) y&=4 \sqrt {x}\, {\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.389 |
|
| 13373 |
\begin{align*}
y&=y^{\prime } \left (1+y^{\prime } \cos \left (y^{\prime }\right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.389 |
|
| 13374 |
\begin{align*}
x^{2} y^{\prime \prime }+2 x^{3} y^{\prime }+\left (x^{2}-2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.390 |
|
| 13375 |
\begin{align*}
y^{\prime } x&=1+x^{3}+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.391 |
|
| 13376 |
\begin{align*}
2 x^{2} y^{\prime \prime }+2 y^{\prime } x -y x&=1 \\
\end{align*}
Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
2.391 |
|
| 13377 |
\begin{align*}
t^{2} y^{\prime \prime }+y^{\prime } t +4 y&=t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.391 |
|
| 13378 |
\begin{align*}
y^{\prime \prime } y^{\prime \prime \prime }&=2 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.391 |
|
| 13379 |
\begin{align*}
\left (-1+x \right ) y^{\prime \prime }-y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.391 |
|
| 13380 |
\begin{align*}
y^{\prime }+y&=\frac {1}{{\mathrm e}^{x}+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.392 |
|
| 13381 |
\begin{align*}
x^{2} y^{\prime }&=a \,x^{2} y^{2}-a y^{3} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
2.392 |
|
| 13382 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (x^{2}-5\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
2.392 |
|
| 13383 |
\begin{align*}
y^{\prime \prime }&={y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.392 |
|
| 13384 |
\begin{align*}
y^{\prime \prime }+\left (\tan \left (x \right )-1\right )^{2} y^{\prime }-n \left (n -1\right ) y \sec \left (x \right )^{4}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.392 |
|
| 13385 |
\begin{align*}
y^{\prime }+y&={\mathrm e}^{-2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.393 |
|
| 13386 |
\begin{align*}
\left (x +y\right ) \left (-y+y^{\prime } x \right )^{3}+x^{3} y^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
2.393 |
|
| 13387 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-y^{\prime } x +\lambda y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.393 |
|
| 13388 |
\begin{align*}
x^{\prime }&=3 x-y \\
y^{\prime }&=-x+2 y-z \\
z^{\prime }&=-y+3 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.393 |
|
| 13389 |
\begin{align*}
x^{3} y^{\prime \prime }+\left (x^{2}+x \right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=\infty \). |
✓ |
✓ |
✓ |
✓ |
2.394 |
|
| 13390 |
\begin{align*}
y^{\prime \prime }+y&=4 x \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.394 |
|
| 13391 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime }-1&=y x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.395 |
|
| 13392 |
\begin{align*}
y^{\prime \prime } x +2 y^{\prime }+4 y x&=4 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.395 |
|
| 13393 |
\begin{align*}
y^{\prime \prime \prime }+3 k y^{\prime \prime }+3 k^{2} y^{\prime }+k^{3} y&={\mathrm e}^{-k x} f^{\prime \prime \prime }\left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.395 |
|
| 13394 |
\begin{align*}
y^{\prime }&=a \sin \left (b x +c \right )+k y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.396 |
|
| 13395 |
\begin{align*}
y^{\prime \prime }&=3 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.396 |
|
| 13396 |
\begin{align*}
y^{\prime \prime } \left ({\mathrm e}^{x}+1\right )+y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.396 |
|
| 13397 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (x^{2}-\frac {1}{4}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.397 |
|
| 13398 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=0 \\
y \left (0\right ) &= 2 \\
y \left (2\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.397 |
|
| 13399 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (x +4\right ) y^{\prime }+\left (2+x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.398 |
|
| 13400 |
\begin{align*}
y^{\prime } x +y&=x^{2} \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.398 |
|