| # |
ODE |
solved |
Maple |
Mma |
Sympy |
time(sec) |
| \begin{align*}
y^{\prime }&=y \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.210 |
|
| \begin{align*}
y^{\prime }&=4 y \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.237 |
|
| \begin{align*}
2 y^{\prime }+3 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.246 |
|
| \begin{align*}
y^{\prime }+2 y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.260 |
|
| \begin{align*}
y^{\prime }&=y x \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.238 |
|
| \begin{align*}
\left (x -2\right ) y^{\prime }+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.263 |
|
| \begin{align*}
\left (2 x -1\right ) y^{\prime }+2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.276 |
|
| \begin{align*}
2 \left (x +1\right ) y^{\prime }+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.264 |
|
| \begin{align*}
\left (-1+x \right ) y^{\prime }+2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.264 |
|
| \begin{align*}
2 \left (-1+x \right ) y^{\prime }&=3 y \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.268 |
|
| \begin{align*}
y^{\prime }&=1+y^{2} \\
y \left (0\right ) &= 0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.139 |
|
| \begin{align*}
y^{\prime }&=y \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.225 |
|
| \begin{align*}
y^{\prime }&=4 y \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.237 |
|
| \begin{align*}
2 y^{\prime }+3 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.245 |
|
| \begin{align*}
y^{\prime }+2 y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.273 |
|
| \begin{align*}
y^{\prime }&=x^{2} y \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.278 |
|
| \begin{align*}
\left (x -2\right ) y^{\prime }+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.262 |
|
| \begin{align*}
\left (2 x -1\right ) y^{\prime }+2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.280 |
|
| \begin{align*}
2 \left (x +1\right ) y^{\prime }&=y \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.302 |
|
| \begin{align*}
\left (-1+x \right ) y^{\prime }+2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.269 |
|
| \begin{align*}
2 \left (-1+x \right ) y^{\prime }&=3 y \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.274 |
|
| \begin{align*}
y^{\prime }-y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.245 |
|
| \begin{align*}
y^{\prime }-y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.274 |
|
| \begin{align*}
\left (1-x \right ) y^{\prime }&=y \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.289 |
|
| \begin{align*}
y^{\prime }&=\sqrt {1-y} \\
y \left (0\right ) &= 0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.126 |
|
| \begin{align*}
y^{\prime }&=y x -x^{2} \\
y \left (0\right ) &= 2 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.314 |
|
| \begin{align*}
y^{\prime }&=y^{2} x^{2} \\
y \left (1\right ) &= 0 \\
\end{align*} Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.188 |
|
| \begin{align*}
y^{\prime }&=3 x +\frac {y}{x} \\
y \left (1\right ) &= 3 \\
\end{align*} Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.308 |
|
| \begin{align*}
y^{\prime }&=\ln \left (y x \right ) \\
y \left (1\right ) &= 1 \\
\end{align*} Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.270 |
|
| \begin{align*}
y^{\prime }&=1+y^{2} \\
y \left (1\right ) &= -1 \\
\end{align*} Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.177 |
|
| \begin{align*}
y^{\prime }&=x^{2}+y^{2} \\
y \left (2\right ) &= 0 \\
\end{align*} Series expansion around \(x=2\). |
✓ |
✓ |
✓ |
✓ |
0.235 |
|
| \begin{align*}
y^{\prime }&=\sqrt {y x +1} \\
y \left (0\right ) &= 1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.164 |
|
| \begin{align*}
y^{\prime }&=\cos \left (x \right )+\sin \left (y\right ) \\
y \left (\frac {\pi }{2}\right ) &= \frac {\pi }{2} \\
\end{align*} Series expansion around \(x=\frac {\pi }{2}\). |
✓ |
✓ |
✓ |
✓ |
0.575 |
|
| \begin{align*}
y^{\prime }&=3 x^{2} y \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.571 |
|
| \begin{align*}
y^{\prime }+\left (2+x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.635 |
|
| \begin{align*}
y^{\prime }-y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.459 |
|
| \begin{align*}
z^{\prime }-x^{2} z&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.609 |
|
| \begin{align*}
y^{\prime }+2 \left (-1+x \right ) y&=0 \\
\end{align*} Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.649 |
|
| \begin{align*}
y^{\prime }-2 y x&=0 \\
\end{align*} Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.750 |
|
| \begin{align*}
x^{\prime }+x \sin \left (t \right )&=0 \\
x \left (0\right ) &= 1 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.669 |
|
| \begin{align*}
y^{\prime }-{\mathrm e}^{x} y&=0 \\
y \left (0\right ) &= 1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.631 |
|
| \begin{align*}
y^{\prime }-y x&=\sin \left (x \right ) \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.646 |
|
| \begin{align*}
w^{\prime }+w x&={\mathrm e}^{x} \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.698 |
|
| \begin{align*}
\left (1-x \right ) y^{\prime }&=x^{2}-y \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.300 |
|
| \begin{align*}
y^{\prime } x&=1-x +2 y \\
\end{align*} Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✗ |
0.281 |
|
| \begin{align*}
y^{\prime }&=2 x^{2}+3 y \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.293 |
|
| \begin{align*}
\left (x +1\right ) y^{\prime }&=x^{2}-2 x +y \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.253 |
|
| \begin{align*}
y^{\prime }+y x&=\cos \left (x \right ) \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.306 |
|
| \begin{align*}
y^{\prime }-y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.230 |
|
| \begin{align*}
\left (x +1\right ) y^{\prime }&=y \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.240 |
|
| \begin{align*}
y^{\prime }&=-2 y x \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.297 |
|
| \begin{align*}
y^{\prime }+4 y&=1 \\
y \left (0\right ) &= {\frac {5}{4}} \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.303 |
|
| \begin{align*}
\left (x -2\right ) y^{\prime }&=y x \\
y \left (0\right ) &= 4 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.364 |
|
| \begin{align*}
y^{\prime }&=2 y x \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.420 |
|
| \begin{align*}
y^{\prime }+y&=1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.365 |
|
| \begin{align*}
y^{\prime }-y&=2 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.355 |
|
| \begin{align*}
y^{\prime }+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.312 |
|
| \begin{align*}
y^{\prime }-y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.316 |
|
| \begin{align*}
y^{\prime }-y&=x^{2} \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.392 |
|
| \begin{align*}
y^{\prime }&=\frac {1}{\sqrt {-x^{2}+1}} \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.386 |
|
| \begin{align*}
y^{\prime }&=1+y \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| \begin{align*}
y^{\prime }&=x -y \\
y \left (0\right ) &= 0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.401 |
|
| \begin{align*}
y^{\prime }&=y^{2}-x \\
y \left (0\right ) &= 1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.246 |
|
| \begin{align*}
y^{\prime }-2 y&=x^{2} \\
y \left (1\right ) &= 1 \\
\end{align*} Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.493 |
|
| \begin{align*}
y^{\prime }&=y+x \,{\mathrm e}^{y} \\
y \left (0\right ) &= 0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✗ |
✓ |
0.756 |
|
| \begin{align*}
y^{\prime }+2 y x&=x \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.516 |
|
| \begin{align*}
y^{\prime }+y&=\sin \left (x \right ) \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.472 |
|
| \begin{align*}
y^{\prime }-2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.232 |
|
| \begin{align*}
y^{\prime }-2 y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.215 |
|
| \begin{align*}
y^{\prime }+\frac {2 y}{2 x -1}&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.218 |
|
| \begin{align*}
\left (x -3\right ) y^{\prime }-2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.187 |
|
| \begin{align*}
\left (x^{2}+1\right ) y^{\prime }-2 y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.191 |
|
| \begin{align*}
y^{\prime }+\frac {y}{-1+x}&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.206 |
|
| \begin{align*}
y^{\prime }+\frac {y}{-1+x}&=0 \\
\end{align*} Series expansion around \(x=3\). |
✓ |
✓ |
✓ |
✓ |
0.240 |
|
| \begin{align*}
\left (1-x \right ) y^{\prime }-2 y&=0 \\
\end{align*} Series expansion around \(x=5\). |
✓ |
✓ |
✓ |
✓ |
0.241 |
|
| \begin{align*}
\left (-x^{3}+2\right ) y^{\prime }-3 x^{2} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.269 |
|
| \begin{align*}
\left (-x^{3}+2\right ) y^{\prime }+3 x^{2} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.227 |
|
| \begin{align*}
\left (x +1\right ) y^{\prime }-y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.239 |
|
| \begin{align*}
\left (x +1\right ) y^{\prime }+\left (1-x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.250 |
|
| \begin{align*}
y^{\prime }+\cos \left (y\right )&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.166 |
|
| \begin{align*}
y^{\prime }-{\mathrm e}^{x} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.282 |
|
| \begin{align*}
y^{\prime }-\tan \left (x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.382 |
|
| \begin{align*}
y^{\prime }-{\mathrm e}^{x} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.262 |
|
| \begin{align*}
y^{\prime }+y \,{\mathrm e}^{2 x}&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.305 |
|
| \begin{align*}
y^{\prime }+\cos \left (x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.301 |
|
| \begin{align*}
y^{\prime }+y \ln \left (x \right )&=0 \\
\end{align*} Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✗ |
0.334 |
|
| \begin{align*}
y^{\prime }-{\mathrm e}^{x} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.490 |
|
| \begin{align*}
y^{\prime }+y \sqrt {x^{2}+1}&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.547 |
|
| \begin{align*}
\cos \left (x \right ) y^{\prime }+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.923 |
|
| \begin{align*}
y^{\prime }+\sqrt {2 x^{2}+1}\, y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.557 |
|
| \begin{align*}
y^{\prime }&=-y x +1 \\
y \left (0\right ) &= 0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.378 |
|
| \begin{align*}
y^{\prime }&=\frac {-x +y}{x +y} \\
y \left (0\right ) &= 1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✗ |
✓ |
0.246 |
|
| \begin{align*}
y^{\prime }&=\sin \left (x \right ) y \\
y \left (0\right ) &= 1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| \begin{align*}
y^{\prime }-2 y x&=0 \\
y \left (0\right ) &= 1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.392 |
|
| \begin{align*}
y^{\prime }&={\mathrm e}^{y}+y x \\
y \left (0\right ) &= 0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✗ |
✓ |
0.306 |
|
| \begin{align*}
\left (x +1\right ) y^{\prime }-n y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.416 |
|
| \begin{align*}
y^{\prime }&=2 y x \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.488 |
|
| \begin{align*}
y^{\prime }+y&=1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.416 |
|
| \begin{align*}
y^{\prime }&=1+y^{2} \\
y \left (0\right ) &= 0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.222 |
|
| \begin{align*}
y^{\prime }&=x -y \\
y \left (0\right ) &= 0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.455 |
|
| \begin{align*}
y^{\prime }&=y \\
y \left (0\right ) &= 2 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.280 |
|
| \begin{align*}
y^{\prime }&=2 y x -x^{3} \\
y \left (0\right ) &= 1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.377 |
|
| \begin{align*}
\left (x +1\right ) y^{\prime }&=y p \\
y \left (0\right ) &= 1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.312 |
|
| \begin{align*}
y^{\prime }&=\sqrt {x^{2}+y^{2}} \\
y \left (0\right ) &= 1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.287 |
|
| \begin{align*}
y^{\prime }&=-x +y \\
y \left (0\right ) &= 2 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.302 |
|
| \begin{align*}
\left (x +1\right ) y^{\prime }&=y p \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.303 |
|
| \begin{align*}
y^{\prime }&={\mathrm e}^{x}+x \cos \left (y\right ) \\
y \left (0\right ) &= 0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.108 |
|
| \begin{align*}
y^{\prime }&=x^{3}+y^{3} \\
y \left (0\right ) &= 1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.218 |
|
| \begin{align*}
u^{\prime }&=u^{3} \\
u \left (0\right ) &= 1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.166 |
|
| \begin{align*}
y^{\prime }-y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.332 |
|
| \begin{align*}
y^{\prime }&=x^{2} \\
y \left (2\right ) &= 1 \\
\end{align*} Series expansion around \(x=2\). |
✓ |
✓ |
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✓ |
0.386 |
|
| \begin{align*}
y^{\prime }&=y \\
y \left (0\right ) &= 1 \\
\end{align*} Series expansion around \(x=0\). |
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✓ |
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✓ |
0.341 |
|
| \begin{align*}
x^{\prime }+x^{2}&=0 \\
x \left (-\frac {1}{2}\right ) &= 0 \\
\end{align*} Series expansion around \(t=-{\frac {1}{2}}\). |
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✓ |
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0.232 |
|
| \begin{align*}
y^{\prime }-y^{2}-x&=0 \\
\end{align*} Series expansion around \(x=0\). |
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✓ |
0.342 |
|
| \begin{align*}
y^{\prime }+y&=0 \\
y \left (0\right ) &= 4 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
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✓ |
0.590 |
|
| \begin{align*}
y^{\prime }&=y x \\
y \left (0\right ) &= 5 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
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✓ |
0.659 |
|
| \begin{align*}
y^{\prime }&=2 x -y \\
\end{align*} Series expansion around \(x=0\). |
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0.712 |
|
| \begin{align*}
y^{\prime }+3 y&=0 \\
y \left (0\right ) &= 1 \\
\end{align*} Series expansion around \(x=0\). |
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✓ |
0.585 |
|
| \begin{align*}
y^{\prime }+y&=x^{2} \\
y \left (0\right ) &= 0 \\
\end{align*} Series expansion around \(x=0\). |
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✓ |
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✓ |
0.682 |
|
| \begin{align*}
y^{\prime }&={\mathrm e}^{x}+y \\
y \left (0\right ) &= 0 \\
\end{align*} Series expansion around \(x=0\). |
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✓ |
0.648 |
|
| \begin{align*}
2 y^{\prime }+y x -y&=0 \\
\end{align*} Series expansion around \(x=0\). |
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0.725 |
|
| \begin{align*}
y^{\prime }+3 y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
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✓ |
0.339 |
|
| \begin{align*}
y^{\prime }&=3 y \\
\end{align*} Series expansion around \(x=0\). |
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0.317 |
|
| \begin{align*}
\left (-x^{2}+1\right ) y^{\prime }+3 y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
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0.349 |
|
| \begin{align*}
y^{\prime }&=2 y \\
y \left (0\right ) &= 1 \\
\end{align*} Series expansion around \(x=0\). |
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✓ |
✓ |
✓ |
0.284 |
|
| \begin{align*}
y^{\prime }&=x +2 y \\
y \left (0\right ) &= 2 \\
\end{align*} Series expansion around \(x=0\). |
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✓ |
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✓ |
0.303 |
|
| \begin{align*}
y^{\prime }-y&=x^{2}+1 \\
y \left (0\right ) &= 1 \\
\end{align*} Series expansion around \(x=0\). |
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✓ |
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✓ |
0.288 |
|
| \begin{align*}
y^{\prime }-y&=x^{2}+1 \\
y \left (0\right ) &= -3 \\
\end{align*} Series expansion around \(x=0\). |
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✓ |
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✓ |
0.311 |
|
| \begin{align*}
y^{\prime }-7 y&=-x^{4}+2 \\
y \left (0\right ) &= a \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
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✓ |
0.351 |
|