| # |
ODE |
solved |
Maple |
Mma |
Sympy |
time(sec) |
| \begin{align*}
x y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.267 |
|
| \begin{align*}
2 x y^{\prime }&=y \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.268 |
|
| \begin{align*}
x y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.260 |
|
| \begin{align*}
2 x y^{\prime }&=y \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.260 |
|
| \begin{align*}
x y^{\prime }&=y x +y \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.358 |
|
| \begin{align*}
x y^{\prime }&=y \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.265 |
|
| \begin{align*}
x y^{\prime }-3 y&=k \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.464 |
|
| \begin{align*}
x y^{\prime }&=y \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.519 |
|
| \begin{align*}
y^{\prime }-\frac {y}{x}&=x^{2} \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.628 |
|
| \begin{align*}
x y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.266 |
|
| \begin{align*}
x y^{\prime }+y&=x \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.344 |
|
| \begin{align*}
x y^{\prime }+y&=1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.339 |
|
| \begin{align*}
x y^{\prime }+y&=\sin \left (x \right ) \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.411 |
|
| \begin{align*}
x y^{\prime }+y&=2 x^{4}+x^{3}+x \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.393 |
|
| \begin{align*}
x y^{\prime }+y&=\frac {1}{x^{3}} \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.328 |
|
| \begin{align*}
x y^{\prime }+2 y x&=\sqrt {x} \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.628 |
|
| \begin{align*}
y^{\prime }+\frac {y}{x}&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.286 |
|
| \begin{align*}
\cos \left (x \right ) y^{\prime }+\frac {y}{x}&=x \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✗ |
✗ |
0.694 |
|
| \begin{align*}
\cos \left (x \right ) y^{\prime }+\frac {y}{x}&=x +\sin \left (x \right ) \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✗ |
✗ |
0.973 |
|
| \begin{align*}
x y^{\prime }+y&=\tan \left (x \right ) \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.483 |
|
| \begin{align*}
x y^{\prime }+y&=\cos \left (x \right )+\sin \left (x \right ) \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.471 |
|
| \begin{align*}
x y^{\prime }&=y \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.306 |
|
| \begin{align*}
x y^{\prime }+\left (x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.397 |
|