| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 14301 |
\begin{align*}
\sin \left (x \right )^{2} y^{\prime \prime }&=2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.191 |
|
| 14302 |
\begin{align*}
y y^{\prime \prime }&={y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.191 |
|
| 14303 |
\begin{align*}
4 f \left (x \right ) y y^{\prime \prime }&=4 f \left (x \right )^{2} y+3 f \left (x \right ) g \left (x \right ) y^{2}-f \left (x \right ) y^{4}+2 y^{3} f^{\prime }\left (x \right )+\left (-6 f \left (x \right ) y^{2}+2 f^{\prime }\left (x \right )\right ) y^{\prime }+3 f \left (x \right ) {y^{\prime }}^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.192 |
|
| 14304 |
\begin{align*}
2 y^{\prime \prime } x +y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.192 |
|
| 14305 |
\begin{align*}
y+y^{\prime }&=\delta \left (-2+t \right ) \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.192 |
|
| 14306 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1} \\
x_{2}^{\prime }&=-21 x_{1}-5 x_{2}-27 x_{3}-9 x_{4} \\
x_{3}^{\prime }&=5 x_{3} \\
x_{4}^{\prime }&=-21 x_{3}-2 x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.193 |
|
| 14307 |
\begin{align*}
\left (x^{2}+y^{2}\right )^{2} {y^{\prime }}^{2}&=4 y^{2} x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.193 |
|
| 14308 |
\begin{align*}
y^{\prime }&=a^{x +y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.193 |
|
| 14309 |
\begin{align*}
\left (1-x \right ) x y^{\prime \prime }+\left (\frac {1}{2}-3 x \right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.193 |
|
| 14310 |
\begin{align*}
x^{\prime }&=2 x-5 y+\sin \left (t \right ) \\
y^{\prime }&=x-2 y+\tan \left (t \right ) \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.194 |
|
| 14311 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (x^{2}+x \right ) y^{\prime }+\left (x -9\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.194 |
|
| 14312 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y^{\prime } x -10 y&=0 \\
y \left (1\right ) &= 5 \\
y^{\prime }\left (1\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.194 |
|
| 14313 |
\begin{align*}
e y^{\prime \prime }&=\frac {P \left (\frac {L}{2}-x \right )}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.194 |
|
| 14314 |
\begin{align*}
4 x^{2} y^{\prime \prime }+4 y^{\prime } x +\left (4 x^{2}-1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.194 |
|
| 14315 |
\begin{align*}
y^{\prime \prime }+b y^{\prime }+c y&=f \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.194 |
|
| 14316 |
\begin{align*}
x^{6} {y^{\prime }}^{2}-2 y^{\prime } x -4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.194 |
|
| 14317 |
\begin{align*}
-y+y^{\prime }&=\left \{\begin {array}{cc} 0 & 0\le t <1 \\ t -1 & 1\le t <2 \\ -t +3 & 2\le t <3 \\ 0 & 3\le t <\infty \end {array}\right . \\
y \left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
1.194 |
|
| 14318 |
\begin{align*}
y^{\prime }&=\frac {y^{2}+\tan \left (x \right ) y+\tan \left (x \right )^{2}}{\sin \left (x \right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.195 |
|
| 14319 |
\begin{align*}
e y^{\prime \prime }&=-\frac {\left (w L +P \right ) x}{2}-\frac {w \,x^{2}}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.195 |
|
| 14320 |
\begin{align*}
\left (-x^{2}+x \right ) y^{\prime \prime }+3 y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.196 |
|
| 14321 |
\begin{align*}
2 x \left (x +3\right ) y^{\prime \prime }-3 \left (x +1\right ) y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.196 |
|
| 14322 |
\begin{align*}
3 x^{2} y^{\prime \prime }+\left (-6 x^{2}+2\right ) y^{\prime }-4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.196 |
|
| 14323 |
\begin{align*}
\left (1-x \right ) x y^{\prime \prime }+\left (\frac {3}{4}-4 x \right ) y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.196 |
|
| 14324 |
\begin{align*}
x^{2} y^{\prime \prime }-\left (2 \sqrt {5}-1\right ) x y^{\prime }+\left (\frac {19}{4}-3 x^{2}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.197 |
|
| 14325 |
\begin{align*}
y^{\prime }&=y \ln \left (y+2\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.197 |
|
| 14326 |
\begin{align*}
x \left (x +3\right ) y^{\prime \prime }-9 y^{\prime }-6 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.197 |
|
| 14327 |
\begin{align*}
2 y^{\prime \prime } x +y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.197 |
|
| 14328 |
\begin{align*}
x^{\prime }&=-x+\operatorname {Heaviside}\left (t -1\right )-\operatorname {Heaviside}\left (-2+t \right ) \\
x \left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.197 |
|
| 14329 |
\begin{align*}
x^{\prime }&=8 y \\
y^{\prime }&=-2 z \\
z^{\prime }&=2 x+8 y-2 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.197 |
|
| 14330 |
\(\left [\begin {array}{cccc} 1 & 0 & 0 & 0 \\ 0 & 4 & 1 & 0 \\ 0 & 0 & -3 & 1 \\ 0 & 0 & 1 & -2 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
1.197 |
|
| 14331 |
\begin{align*}
y^{\prime \prime }+y&=8 \cos \left (x \right ) \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.198 |
|
| 14332 |
\begin{align*}
y^{\prime \prime } x +\left (2 x +3\right ) y^{\prime }+4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.198 |
|
| 14333 |
\begin{align*}
2 x y^{\prime } y^{\prime \prime }&=-1+{y^{\prime }}^{2} \\
y \left (1\right ) &= 0 \\
y^{\prime }\left (1\right ) &= \sqrt {3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.198 |
|
| 14334 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+13 y&=2 t \,{\mathrm e}^{-2 t} \sin \left (3 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.198 |
|
| 14335 |
\begin{align*}
x^{\prime }&=\lambda x-x^{3}-x^{5} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.198 |
|
| 14336 |
\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*} |
✓ |
✓ |
✓ |
✓ |
1.198 |
|
| 14337 |
\begin{align*}
y^{\prime \prime }&=2 y y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.199 |
|
| 14338 |
\begin{align*}
y^{\prime }+y&=\left \{\begin {array}{cc} 1 & 0\le x <2 \\ 0 & 0<x \end {array}\right . \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.199 |
|
| 14339 |
\begin{align*}
y^{\prime \prime }&=4 x \sqrt {y^{\prime }} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.199 |
|
| 14340 |
\begin{align*}
y^{\prime \prime }+\frac {y}{4}&=\sec \left (\frac {t}{2}\right )+\csc \left (\frac {t}{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.199 |
|
| 14341 |
\begin{align*}
y^{\prime }&=a +b x +c y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.200 |
|
| 14342 |
\begin{align*}
x \left (2 x +3 y\right ) y^{\prime }+3 \left (x +y\right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.200 |
|
| 14343 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&=27 \,{\mathrm e}^{6 x}+25 \sin \left (6 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.200 |
|
| 14344 |
\begin{align*}
y^{\prime \prime }+y x&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.200 |
|
| 14345 |
\begin{align*}
y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+2 y^{\prime \prime }-2 y^{\prime }+y&=\cos \left (2 x \right ) \\
y \left (0\right ) &= {\frac {1}{25}} \\
y \left (\pi \right ) &= {\frac {1}{25}} \\
y^{\prime }\left (0\right ) &= {\frac {2}{15}} \\
y^{\prime }\left (\pi \right ) &= {\frac {2}{25}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.200 |
|
| 14346 |
\begin{align*}
4 x^{2} y^{\prime \prime }-16 y^{\prime } x +25 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.201 |
|
| 14347 |
\begin{align*}
y^{\prime \prime } x -2 y^{\prime }+y&=\cos \left (x \right ) \\
\end{align*}
Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
1.201 |
|
| 14348 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (x -\frac {3}{4}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.201 |
|
| 14349 |
\begin{align*}
y^{\prime }&=y-y^{2} \\
y \left (-1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
1.201 |
|
| 14350 |
\begin{align*}
\frac {4 y^{2}-2 x^{2}}{4 x y^{2}-x^{3}}+\frac {\left (8 y^{2}-x^{2}\right ) y^{\prime }}{4 y^{3}-x^{2} y}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.201 |
|
| 14351 |
\begin{align*}
\left (2 x^{2}+3 x \right ) y^{\prime \prime }+\left (3+6 x \right ) y^{\prime }+2 y&={\mathrm e}^{x} \left (x +1\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.201 |
|
| 14352 |
\begin{align*}
y^{\prime \prime }+y x&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.201 |
|
| 14353 |
\begin{align*}
y^{\prime \prime }+5 y^{\prime }&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.201 |
|
| 14354 |
\begin{align*}
x^{\prime }&=y-z \\
y^{\prime }&=z-x \\
z^{\prime }&=x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.202 |
|
| 14355 |
\begin{align*}
x^{2} y^{\prime \prime }-\left (3 x^{4}+5 x \right ) y^{\prime }+\left (6 x^{3}+5\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.202 |
|
| 14356 |
\begin{align*}
y^{2} y^{\prime \prime }+y^{\prime \prime }+2 y {y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.203 |
|
| 14357 |
\begin{align*}
x^{2} y^{\prime \prime }+y&=3 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.203 |
|
| 14358 |
\begin{align*}
y_{1}^{\prime }&=-3 y_{1}+y_{2}-3 y_{3} \\
y_{2}^{\prime }&=4 y_{1}-y_{2}+2 y_{3} \\
y_{3}^{\prime }&=4 y_{1}-2 y_{2}+3 y_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.204 |
|
| 14359 |
\begin{align*}
x +y+1-\left (3-x +y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.204 |
|
| 14360 |
\begin{align*}
y^{\prime \prime \prime }+4 y^{\prime }&=\tan \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.204 |
|
| 14361 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+\left (5 x +4\right ) y^{\prime }+4 y&=0 \\
\end{align*}
Series expansion around \(x=-1\). |
✓ |
✓ |
✓ |
✓ |
1.204 |
|
| 14362 |
\begin{align*}
y^{\prime \prime }+\omega _{n}^{2} y&={\mathrm e}^{i \omega t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.204 |
|
| 14363 |
\begin{align*}
2 x^{2} y^{\prime \prime }-y^{\prime } x +\left (-x^{2}+1\right ) y&=x^{2} \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.205 |
|
| 14364 |
\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 \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.205 |
|
| 14365 |
\begin{align*}
y y^{\prime \prime }&={y^{\prime }}^{2}+y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.205 |
|
| 14366 |
\begin{align*}
y^{\prime }+y \sqrt {1+\sin \left (x \right )^{2}}&=x \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.206 |
|
| 14367 |
\begin{align*}
6 y-5 y^{\prime }+y^{\prime \prime }&=x^{2} \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.206 |
|
| 14368 |
\begin{align*}
y^{\prime }&=y+t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.206 |
|
| 14369 |
\begin{align*}
\left (x^{2}-6 x \right ) y^{\prime \prime }+4 \left (x -3\right ) y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.207 |
|
| 14370 |
\begin{align*}
y^{\prime \prime }+k^{2} y&=k \sin \left (x k +\alpha \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.207 |
|
| 14371 |
\begin{align*}
y^{\prime }&=\frac {\sin \left (x \right )+\cos \left (x \right ) x}{y \left (2 \ln \left (y\right )+1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.207 |
|
| 14372 |
\begin{align*}
x_{1}^{\prime }&=-x_{1}+x_{2}+x_{3}-2 x_{4} \\
x_{2}^{\prime }&=7 x_{1}-4 x_{2}-6 x_{3}+11 x_{4} \\
x_{3}^{\prime }&=5 x_{1}-x_{2}+x_{3}+3 x_{4} \\
x_{4}^{\prime }&=6 x_{1}-2 x_{2}-2 x_{3}+6 x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.208 |
|
| 14373 |
\begin{align*}
4 x^{\prime }+9 y^{\prime }+44 x+49 y&=t \\
3 x^{\prime }+7 y^{\prime }+34 x+38 y&={\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.208 |
|
| 14374 |
\begin{align*}
y^{\prime } x +y x +y-1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.208 |
|
| 14375 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{2 x}-\frac {\left (x +1\right ) y}{2 x^{2}}&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.208 |
|
| 14376 |
\begin{align*}
y^{\prime \prime }+8 y^{\prime }&=8 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.208 |
|
| 14377 |
\begin{align*}
x^{2} y^{\prime \prime }+2 y^{\prime } x -6 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.208 |
|
| 14378 |
\begin{align*}
y^{3} y^{\prime \prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.209 |
|
| 14379 |
\begin{align*}
y^{\prime }+2 y&=2 \operatorname {Heaviside}\left (t -1\right ) \\
y \left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.209 |
|
| 14380 |
\begin{align*}
2 y^{\prime \prime } x +\left (2 x +1\right ) y^{\prime }+4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.209 |
|
| 14381 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (x +1\right ) y^{\prime }-\left (6 x^{2}-3 x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.209 |
|
| 14382 |
\begin{align*}
y^{\prime \prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.209 |
|
| 14383 |
\begin{align*}
t^{2} y+y^{\prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.210 |
|
| 14384 |
\begin{align*}
y^{\prime }&=\left (x +y\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.210 |
|
| 14385 |
\begin{align*}
y^{\prime \prime }+y&=\tan \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.210 |
|
| 14386 |
\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 \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.210 |
|
| 14387 |
\begin{align*}
y^{\prime }+y&=2 \,{\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.210 |
|
| 14388 |
\begin{align*}
y^{\prime }&=\frac {1}{x^{2}+y^{2}} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
1.210 |
|
| 14389 |
\begin{align*}
2 x^{\prime }-x+7 y^{\prime }+3 y&=90 \sin \left (2 t \right ) \\
x^{\prime }-5 x+8 y^{\prime }-3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.210 |
|
| 14390 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x -4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.211 |
|
| 14391 |
\begin{align*}
x^{2} y^{\prime \prime }+2 y^{\prime } x -30 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.211 |
|
| 14392 |
\begin{align*}
\left (1-x \right ) x y^{\prime \prime }+\left (\frac {2}{3}-3 x \right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.211 |
|
| 14393 |
\begin{align*}
y^{\prime }&={\mathrm e}^{x -y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.212 |
|
| 14394 |
\begin{align*}
y^{\prime \prime \prime }&=2 y^{\prime \prime } x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.212 |
|
| 14395 |
\begin{align*}
{y^{\prime }}^{3} x -y {y^{\prime }}^{2}+1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.213 |
|
| 14396 |
\begin{align*}
4 x^{\prime }+9 y^{\prime }+2 x+31 y&={\mathrm e}^{t} \\
3 x^{\prime }+7 y^{\prime }+x+24 y&=3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.213 |
|
| 14397 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y^{\prime } x +2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.214 |
|
| 14398 |
\begin{align*}
-2 y+y^{\prime }&={\mathrm e}^{2 t} \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.214 |
|
| 14399 |
\begin{align*}
x^{2} y^{\prime \prime }-x \cos \left (x \right ) y^{\prime }+5 \,{\mathrm e}^{2 x} y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.214 |
|
| 14400 |
\begin{align*}
{y^{\prime }}^{2}+3 y^{\prime } x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.214 |
|