| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 3301 |
\begin{align*}
y^{\prime \prime \prime \prime }&=\sin \left (x \right )+24 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.273 |
|
| 3302 |
\begin{align*}
x^{2} y^{\prime \prime }-x \left (x +3\right ) y^{\prime }+\left (4-x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.273 |
|
| 3303 |
\begin{align*}
x^{2} \left (x^{2}+1\right ) y^{\prime \prime }-x \left (-2 x^{2}+1\right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.273 |
|
| 3304 |
\begin{align*}
x^{2} \left (x +1\right ) y^{\prime \prime }+3 x^{2} y^{\prime }-\left (6-x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.273 |
|
| 3305 |
\begin{align*}
x^{2} y^{\prime \prime }-x^{2} y^{\prime }-\left (3 x +2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.273 |
|
| 3306 |
\begin{align*}
x y^{\prime \prime }+3 y^{\prime }+4 x^{3} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.273 |
|
| 3307 |
\begin{align*}
y^{\prime \prime \prime \prime }-a^{4} y&=5 a^{4} {\mathrm e}^{a x} \sin \left (a x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.273 |
|
| 3308 |
\begin{align*}
x^{2} y^{\prime \prime }-20 y&=27 x^{5} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.273 |
|
| 3309 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&=1 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.273 |
|
| 3310 |
\begin{align*}
y^{\prime \prime }-12 y^{\prime }+45 y&=\delta \left (t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.273 |
|
| 3311 |
\begin{align*}
\tan \left (y^{\prime }\right )&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.273 |
|
| 3312 |
\begin{align*}
y^{\prime \prime }+4 t y^{\prime }-4 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= -7 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
0.273 |
|
| 3313 |
\begin{align*}
y-2 y^{\prime \prime \prime \prime }+y^{\left (8\right )}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.274 |
|
| 3314 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-y x -x^{4}+3&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.274 |
|
| 3315 |
\begin{align*}
\left (2 x^{2}+3 x \right ) y^{\prime \prime }+10 \left (x +1\right ) y^{\prime }+8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.274 |
|
| 3316 |
\begin{align*}
y^{\prime \prime }+\left (t^{2}+2 t +1\right ) y^{\prime }-\left (4+4 t \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.274 |
|
| 3317 |
\begin{align*}
9 x^{2} y^{\prime \prime }-3 x \left (-2 x^{2}+7\right ) y^{\prime }+\left (2 x^{2}+25\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.274 |
|
| 3318 |
\begin{align*}
\left (t^{2}+1\right ) y^{\prime \prime }-2 t y^{\prime }+2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.274 |
|
| 3319 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {9}{4}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.274 |
|
| 3320 |
\begin{align*}
y^{\prime \prime }&=\left (\frac {6}{x^{2}}-1\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.274 |
|
| 3321 |
\begin{align*}
x^{2} y^{\prime \prime \prime }-2 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.274 |
|
| 3322 |
\begin{align*}
x^{\prime \prime \prime \prime }+2 x^{\prime \prime }-4 x&=0 \\
x \left (0\right ) &= 1 \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.274 |
|
| 3323 |
\begin{align*}
x^{\prime \prime }+3 x^{\prime }+5 x&=-4 \cos \left (5 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.275 |
|
| 3324 |
\begin{align*}
y^{\prime \prime }+x^{2} y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.275 |
|
| 3325 |
\begin{align*}
y^{\prime }+y&=2 x \,{\mathrm e}^{-x}+x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.275 |
|
| 3326 |
\begin{align*}
x y^{\prime \prime }+3 y^{\prime }+x^{3} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.275 |
|
| 3327 |
\begin{align*}
5 y^{\prime \prime }-2 x y^{\prime }+10 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.275 |
|
| 3328 |
\begin{align*}
\left (x +4\right ) y^{\prime \prime }+\left (x +2\right ) y^{\prime }+2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.275 |
|
| 3329 |
\begin{align*}
x^{2} \left (4 x +3\right ) y^{\prime \prime }+x \left (11+4 x \right ) y^{\prime }-\left (4 x +3\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.275 |
|
| 3330 |
\begin{align*}
3 x^{2} \left (-x^{2}+2\right ) y^{\prime \prime }+x \left (-11 x^{2}+1\right ) y^{\prime }+\left (-5 x^{2}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.275 |
|
| 3331 |
\begin{align*}
t y^{\prime \prime }+\left (-t^{2}+1\right ) y^{\prime }+4 y t&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.275 |
|
| 3332 |
\begin{align*}
z y^{\prime \prime }-2 y^{\prime }+y z&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.275 |
|
| 3333 |
\begin{align*}
x^{2} y^{\prime \prime }-x \left (x +3\right ) y^{\prime }+\left (4-x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.275 |
|
| 3334 |
\begin{align*}
x y^{\prime \prime }+\left (-6+x \right ) y^{\prime }-3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.275 |
|
| 3335 |
\begin{align*}
y^{\prime \prime }&=\left (\frac {x^{2}}{4}-\frac {11}{2}\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.275 |
|
| 3336 |
\begin{align*}
\left (x^{3}-x^{2}\right ) y^{\prime \prime }-\left (x^{3}+2 x^{2}-2 x \right ) y^{\prime }+\left (2 x^{2}+2 x -2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.275 |
|
| 3337 |
\begin{align*}
y^{\prime \prime \prime \prime }-2 n^{2} y^{\prime \prime }+n^{4} y&=\cos \left (n x +\alpha \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.275 |
|
| 3338 |
\begin{align*}
x_{1}^{\prime }&=\frac {x_{1}}{2}-\frac {x_{2}}{4} \\
x_{2}^{\prime }&=x_{1}-\frac {x_{2}}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.275 |
|
| 3339 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }-54 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.275 |
|
| 3340 |
\begin{align*}
x^{\prime }&=-x \\
y^{\prime }&=-x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.275 |
|
| 3341 |
\begin{align*}
y^{\prime \prime }-y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.275 |
|
| 3342 |
\begin{align*}
x^{\prime \prime \prime \prime }+13 x^{\prime \prime }+36 x&=0 \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 2 \\
x^{\prime \prime }\left (0\right ) &= 0 \\
x^{\prime \prime \prime }\left (0\right ) &= -13 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.276 |
|
| 3343 |
\begin{align*}
y^{\prime \prime }+5 y^{\prime }+5 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.276 |
|
| 3344 |
\begin{align*}
9 y^{\prime \prime }+9 y^{\prime }-4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.276 |
|
| 3345 |
\begin{align*}
y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-3 y^{\prime \prime }-4 y^{\prime }+4 y&=2 \,{\mathrm e}^{x} \left (x +1\right )+{\mathrm e}^{-2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.276 |
|
| 3346 |
\begin{align*}
y^{\prime \prime }-7 y^{\prime }+6 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.276 |
|
| 3347 |
\begin{align*}
y^{\prime \prime }+5 y^{\prime }+4 y&=20 \sin \left (2 t \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -2 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.276 |
|
| 3348 |
\begin{align*}
y^{\prime }+y&=\frac {1}{{\mathrm e}^{2 x}+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.276 |
|
| 3349 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-y x -x^{2}-2&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.276 |
|
| 3350 |
\begin{align*}
y^{\prime \prime }-8 y^{\prime }-y x -x^{3}+2&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.276 |
|
| 3351 |
\begin{align*}
t y^{\prime }+y&=0 \\
y \left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.276 |
|
| 3352 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.276 |
|
| 3353 |
\begin{align*}
x^{2} \left (x^{2}+1\right ) y^{\prime \prime }-x \left (-2 x^{2}+1\right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.276 |
|
| 3354 |
\begin{align*}
4 x^{2} \left (x +1\right ) y^{\prime \prime }+4 x \left (3+8 x \right ) y^{\prime }-\left (5-49 x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.276 |
|
| 3355 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (x +1\right ) y^{\prime }-3 \left (x +3\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.276 |
|
| 3356 |
\begin{align*}
18 x^{2} \left (x +1\right ) y^{\prime \prime }+3 x \left (x^{2}+11 x +5\right ) y^{\prime }-\left (-5 x^{2}-2 x +1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.276 |
|
| 3357 |
\begin{align*}
9 x^{2} \left (x^{2}+1\right ) y^{\prime \prime }+3 x \left (13 x^{2}+3\right ) y^{\prime }-\left (-25 x^{2}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.276 |
|
| 3358 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (-3 x^{2}+1\right ) y^{\prime }-4 \left (-3 x^{2}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.276 |
|
| 3359 |
\begin{align*}
u^{\prime \prime }-\frac {2 u^{\prime }}{x}-a^{2} u&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.276 |
|
| 3360 |
\begin{align*}
x y^{\prime \prime }+3 y^{\prime }+x^{3} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.276 |
|
| 3361 |
\begin{align*}
x^{2} y^{\prime \prime }+3 x y^{\prime }+4 x^{4} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.276 |
|
| 3362 |
\begin{align*}
\left (A x y+B \,x^{2}+k x \right ) y^{\prime }&=A y^{2}+B x y+\left (A b +k \right ) y+B b x +b k \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.276 |
|
| 3363 |
\begin{align*}
y^{\prime \prime }+4 y&=1 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.276 |
|
| 3364 |
\begin{align*}
y^{\prime \prime \prime }+y&=-1 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 3 \\
y^{\prime \prime }\left (0\right ) &= -3 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
0.276 |
|
| 3365 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }-4 x y^{\prime }+6 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.276 |
|
| 3366 |
\begin{align*}
x^{\prime \prime \prime }-x&=2 \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= \frac {1}{2}+\frac {\sqrt {3}}{2} \\
x^{\prime \prime }\left (0\right ) &= \frac {1}{2}-\frac {\sqrt {3}}{2} \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.276 |
|
| 3367 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-6 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.276 |
|
| 3368 |
\(\left [\begin {array}{cc} 6 & 1 \\ 1 & 4 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.276 |
|
| 3369 |
\begin{align*}
y^{\prime \prime }+y&=2 x -\pi \\
y \left (0\right ) &= 0 \\
y \left (\pi \right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.276 |
|
| 3370 |
\begin{align*}
y^{\prime \prime }-4 y&=\sinh \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.277 |
|
| 3371 |
\begin{align*}
2 y^{\prime \prime }+3 y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.277 |
|
| 3372 |
\begin{align*}
y^{\prime }-6 y&=0 \\
y \left (-1\right ) &= 4 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.277 |
|
| 3373 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }-6 x y^{\prime }+12 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.277 |
|
| 3374 |
\begin{align*}
x^{2} \left (-x^{2}+1\right ) y^{\prime \prime }+2 x \left (-x^{2}+1\right ) y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.277 |
|
| 3375 |
\begin{align*}
x y^{\prime \prime \prime }+2 y^{\prime \prime }&=6 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.277 |
|
| 3376 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}-9 x_{2} \\
x_{2}^{\prime }&=x_{1}-3 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.277 |
|
| 3377 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.277 |
|
| 3378 |
\begin{align*}
y^{\prime \prime }+5 y^{\prime }-6 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.277 |
|
| 3379 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.277 |
|
| 3380 |
\begin{align*}
2 y^{\prime \prime }-3 y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.277 |
|
| 3381 |
\begin{align*}
y^{\prime \prime }+x^{2} y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.277 |
|
| 3382 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+5 y&=39 \,{\mathrm e}^{t} \sin \left (t \right ) \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.277 |
|
| 3383 |
\begin{align*}
y^{\left (6\right )}+y^{\prime \prime \prime \prime }-y&=4 x^{5}-6 x^{2}+2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.277 |
|
| 3384 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&=3 x \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.277 |
|
| 3385 |
\begin{align*}
y^{\prime }+\frac {y}{\sqrt {t}}&={\mathrm e}^{\frac {\sqrt {t}}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.278 |
|
| 3386 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (x +1\right ) y^{\prime }+\left (3 x -1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.278 |
|
| 3387 |
\begin{align*}
x^{2} \left (1-x \right ) y^{\prime \prime }+x \left (x +4\right ) y^{\prime }+\left (2-x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.278 |
|
| 3388 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-5 x y^{\prime }-4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.278 |
|
| 3389 |
\begin{align*}
y^{\prime \prime }+q y^{\prime }&=\frac {2 y}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.278 |
|
| 3390 |
\begin{align*}
x^{\prime \prime \prime \prime }-5 x^{\prime \prime }+4 x&={\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.278 |
|
| 3391 |
\begin{align*}
y^{\prime }&=\delta \left (t -2\right )-\delta \left (-4+t \right ) \\
y \left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.278 |
|
| 3392 |
\begin{align*}
x^{\prime \prime }-4 x^{\prime }+3 x&=1 \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.278 |
|
| 3393 |
\begin{align*}
y^{\prime \prime }+9 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.279 |
|
| 3394 |
\begin{align*}
y^{\prime }&=x^{2} y^{2} \\
y \left (1\right ) &= 0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.279 |
|
| 3395 |
\begin{align*}
y^{\prime \prime }+4 y&=9 \sin \left (t \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.279 |
|
| 3396 |
\begin{align*}
y^{\prime }-\frac {y}{x}&=\cos \left (x \right ) \\
\end{align*}
Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
0.279 |
|
| 3397 |
\begin{align*}
x^{3} \left (x -1\right ) y^{\prime \prime }-2 \left (x -1\right ) y^{\prime }+3 y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
0.279 |
|
| 3398 |
\begin{align*}
x^{2} \left (x +1\right ) y^{\prime \prime }-x \left (-x +3\right ) y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.279 |
|
| 3399 |
\begin{align*}
x^{2} \left (x +1\right ) y^{\prime \prime }-x \left (6+11 x \right ) y^{\prime }+\left (6+32 x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.279 |
|
| 3400 |
\begin{align*}
4 x^{2} y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}-25\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.279 |
|