| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 5601 |
\begin{align*}
5 y+4 y^{\prime }+y^{\prime \prime }&=4 \,{\mathrm e}^{-2 x} \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.370 |
|
| 5602 |
\begin{align*}
y^{\prime }&=x \,{\mathrm e}^{-x} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.371 |
|
| 5603 |
\begin{align*}
t^{2} y^{\prime \prime }+y^{\prime } t +t^{2} y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.371 |
|
| 5604 |
\begin{align*}
y^{\prime \prime }-y&=4 x \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.371 |
|
| 5605 |
\begin{align*}
25 y^{\prime \prime }-30 y^{\prime }+9 y&=0 \\
y \left (1\right ) &= 0 \\
y^{\prime }\left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.371 |
|
| 5606 |
\begin{align*}
6 n y^{\prime }-2 \left (n +1\right ) x y^{\prime \prime }+x^{2} y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.371 |
|
| 5607 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=12 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.371 |
|
| 5608 |
\begin{align*}
\left (x +1\right ) y^{\prime \prime }-\left (2 x +3\right ) y^{\prime }+\left (2+x \right ) y&=\left (x^{2}+2 x +1\right ) {\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.371 |
|
| 5609 |
\begin{align*}
x^{2} \left (x^{2}+2\right ) y^{\prime \prime }+2 x \left (x^{2}+5\right ) y^{\prime }+2 \left (-x^{2}+3\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.371 |
|
| 5610 |
\begin{align*}
z y^{\prime \prime }-2 y^{\prime }+y z&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.371 |
|
| 5611 |
\begin{align*}
y^{\prime \prime } x -\left (2 x +1\right ) y^{\prime }+\left (x +1\right ) y&=x^{2}-x -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.371 |
|
| 5612 |
\begin{align*}
4 y^{\prime \prime }+4 y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.371 |
|
| 5613 |
\begin{align*}
2 z^{\prime \prime }+7 z^{\prime }-4 z&=0 \\
z \left (0\right ) &= 0 \\
z^{\prime }\left (0\right ) &= 9 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.371 |
|
| 5614 |
\begin{align*}
y^{\prime \prime }-9 y^{\prime }+14 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.371 |
|
| 5615 |
\begin{align*}
y^{\prime \prime \prime \prime }+9 y^{\prime \prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.371 |
|
| 5616 |
\begin{align*}
4 y^{\prime \prime }-8 y^{\prime }+7 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.371 |
|
| 5617 |
\begin{align*}
x^{\prime }&=x+2 y \\
y^{\prime }&=3 y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 2 \\
y \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.371 |
|
| 5618 |
\begin{align*}
x^{\prime \prime }&=\delta \left (-t +a \right ) \\
x \left (0\right ) &= 1 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.371 |
|
| 5619 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right )^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.371 |
|
| 5620 |
\begin{align*}
y^{\prime }&=x +1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.371 |
|
| 5621 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.371 |
|
| 5622 |
\begin{align*}
5 y+2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{x} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.372 |
|
| 5623 |
\begin{align*}
x_{1}^{\prime }&=6 x_{1}-7 x_{2} \\
x_{2}^{\prime }&=x_{1}-2 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.372 |
|
| 5624 |
\begin{align*}
\frac {x^{\prime \prime }}{2}+3 x^{\prime }+4 x&=0 \\
x \left (0\right ) &= 2 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.372 |
|
| 5625 |
\begin{align*}
3 x^{\prime \prime }+30 x^{\prime }+63 x&=0 \\
x \left (0\right ) &= 2 \\
x^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.372 |
|
| 5626 |
\begin{align*}
y^{\prime \prime }-y^{\prime } x -y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.372 |
|
| 5627 |
\begin{align*}
x^{2} y^{\prime \prime }-x \left (2 x -1\right ) y^{\prime }+\left (x^{2}-x -1\right ) y&={\mathrm e}^{x} x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.372 |
|
| 5628 |
\begin{align*}
\left (1-2 x \right ) y^{\prime \prime }+2 y^{\prime }+\left (2 x -3\right ) y&=\left (4 x^{2}-4 x +1\right ) {\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.372 |
|
| 5629 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}+x_{2} \\
x_{2}^{\prime }&=-5 x_{1}-2 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.372 |
|
| 5630 |
\begin{align*}
y^{\prime }&=y x -x^{2} \\
y \left (0\right ) &= 2 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.372 |
|
| 5631 |
\begin{align*}
y^{\prime }&=\ln \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.372 |
|
| 5632 |
\begin{align*}
\frac {1}{x}-\frac {y}{x^{2}+y^{2}}+\frac {x y^{\prime }}{x^{2}+y^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.372 |
|
| 5633 |
\begin{align*}
{y^{\prime }}^{3}-7 y^{\prime }+6&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.372 |
|
| 5634 |
\begin{align*}
\left (1-a \right ) a y-2 a x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.372 |
|
| 5635 |
\begin{align*}
y y^{\prime } x -y x&=y \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.372 |
|
| 5636 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&={\mathrm e}^{x}+x \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.372 |
|
| 5637 |
\begin{align*}
y^{\prime \prime }+y&=\tan \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.372 |
|
| 5638 |
\begin{align*}
y^{\prime \prime }+y&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.372 |
|
| 5639 |
\begin{align*}
y^{\prime \prime }-y&={\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.372 |
|
| 5640 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=\cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.372 |
|
| 5641 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (x^{2}-2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.372 |
|
| 5642 |
\begin{align*}
x^{\prime \prime }+x&=t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.372 |
|
| 5643 |
\begin{align*}
x^{\prime }+y^{\prime }-2 x-4 y&={\mathrm e}^{t} \\
x^{\prime }+y^{\prime }-y&={\mathrm e}^{4 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.372 |
|
| 5644 |
\begin{align*}
y^{2} {y^{\prime }}^{2}+y^{2}&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.372 |
|
| 5645 |
\begin{align*}
i^{\prime }&=\frac {i}{2}-\frac {v}{8} \\
v^{\prime }&=2 i-\frac {v}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.372 |
|
| 5646 |
\begin{align*}
2 y^{\prime \prime }-4 y^{\prime }+8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.372 |
|
| 5647 |
\begin{align*}
z^{\prime \prime }+8 z^{\prime }+16 z&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.372 |
|
| 5648 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }&=2 x \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= -{\frac {1}{2}} \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.372 |
|
| 5649 |
\begin{align*}
\cos \left (x \right ) y^{\prime \prime }&=y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.372 |
|
| 5650 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+5 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.372 |
|
| 5651 |
\begin{align*}
y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= 2 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.372 |
|
| 5652 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+7 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.372 |
|
| 5653 |
\begin{align*}
x_{1}^{\prime }&=-x_{2} \\
x_{2}^{\prime }&=8 x_{1}-6 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.373 |
|
| 5654 |
\begin{align*}
4 y+y^{\prime \prime }&=x \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.373 |
|
| 5655 |
\begin{align*}
x_{1}^{\prime }&=-3 x_{1}-2 x_{2} \\
x_{2}^{\prime }&=2 x_{1}+x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.373 |
|
| 5656 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+9 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.373 |
|
| 5657 |
\begin{align*}
2 y^{\prime \prime }+3 y^{\prime }+y&={\mathrm e}^{-3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.373 |
|
| 5658 |
\begin{align*}
4 x^{2} y^{\prime \prime }+2 x \left (-x^{2}+4\right ) y^{\prime }+\left (7 x^{2}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.373 |
|
| 5659 |
\begin{align*}
4 x^{2} y^{\prime \prime }+4 y^{\prime } x +\left (4 x^{2}-25\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.373 |
|
| 5660 |
\begin{align*}
y^{\prime }&=\operatorname {Heaviside}\left (t -3\right ) \\
y \left (0\right ) &= 4 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.373 |
|
| 5661 |
\begin{align*}
20 y-9 y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.373 |
|
| 5662 |
\begin{align*}
3 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime }&=x +1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.373 |
|
| 5663 |
\begin{align*}
16 x^{4} y^{\prime \prime \prime \prime }+96 x^{3} y^{\prime \prime \prime }+72 x^{2} y^{\prime \prime }-24 y^{\prime } x +9 y&=96 x^{{5}/{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.374 |
|
| 5664 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}+x_{2} \\
x_{2}^{\prime }&=x_{2}-x_{1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.374 |
|
| 5665 |
\begin{align*}
y^{\prime \prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.374 |
|
| 5666 |
\begin{align*}
y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.374 |
|
| 5667 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (x^{2}+\frac {9}{4}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.374 |
|
| 5668 |
\begin{align*}
y^{\prime \prime }-y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.374 |
|
| 5669 |
\begin{align*}
y^{\prime \prime }-y^{\prime } x -y x -3 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.374 |
|
| 5670 |
\begin{align*}
3 y-\left (x +3\right ) y^{\prime }+y^{\prime \prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.374 |
|
| 5671 |
\begin{align*}
y^{\prime \prime }-9 y&=0 \\
y \left (0\right ) &= 4 \\
y^{\prime }\left (0\right ) &= 9 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.374 |
|
| 5672 |
\begin{align*}
y^{\prime \prime \prime }+3 y^{\prime \prime }-10 y^{\prime }-24 y&={\mathrm e}^{-3 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.374 |
|
| 5673 |
\begin{align*}
y^{\prime \prime \prime }-13 y^{\prime }+12 y&=\cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.374 |
|
| 5674 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=\left (x^{2}+x \right ) {\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.374 |
|
| 5675 |
\begin{align*}
5 y+2 y^{\prime }+y^{\prime \prime }&=3 \sin \left (x +\frac {\pi }{4}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.374 |
|
| 5676 |
\begin{align*}
y^{\prime \prime }-y&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.374 |
|
| 5677 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+13 y&=24 \,{\mathrm e}^{2 x} \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.374 |
|
| 5678 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=0 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.375 |
|
| 5679 |
\begin{align*}
2 y^{\prime \prime }+3 y^{\prime }-2 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -\beta \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.375 |
|
| 5680 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}+9 x_{2} \\
x_{2}^{\prime }&=-x_{1}-3 x_{2} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 2 \\
x_{2} \left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.375 |
|
| 5681 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=\frac {1}{1+{\mathrm e}^{-x}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.375 |
|
| 5682 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+2 x_{2} \\
x_{2}^{\prime }&=-x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.375 |
|
| 5683 |
\begin{align*}
y^{\prime \prime }-x^{2} y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.375 |
|
| 5684 |
\begin{align*}
a^{2} y+x^{4} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.375 |
|
| 5685 |
\begin{align*}
{\mathrm e}^{x}-\sin \left (y\right )+y^{\prime } \cos \left (y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.375 |
|
| 5686 |
\begin{align*}
y^{\prime \prime }+\left ({\mathrm e}^{x}-1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.375 |
|
| 5687 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (x^{2}+\frac {25}{4}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.375 |
|
| 5688 |
\begin{align*}
y^{\prime }&=\frac {1}{y-3} \\
y \left (-1\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.375 |
|
| 5689 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=2 x -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.375 |
|
| 5690 |
\begin{align*}
L i^{\prime }+R i&=E_{0} \sin \left (\omega t \right ) \\
i \left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.375 |
|
| 5691 |
\begin{align*}
2 y^{\prime \prime }+y^{\prime } x +3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.375 |
|
| 5692 |
\begin{align*}
\left (2+x \right ) y^{\prime \prime }+y^{\prime } x +3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.375 |
|
| 5693 |
\begin{align*}
y^{\prime }-y^{2}+\sin \left (x \right ) y-\cos \left (x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.375 |
|
| 5694 |
\begin{align*}
{y^{\prime }}^{2}+y \left (-x +y\right ) y^{\prime }-x y^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.375 |
|
| 5695 |
\begin{align*}
y^{\prime \prime \prime }-4 y^{\prime \prime }+y^{\prime }+6 y&=3 x \,{\mathrm e}^{x}+2 \,{\mathrm e}^{x}-\sin \left (x \right ) \\
y \left (0\right ) &= {\frac {33}{40}} \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.375 |
|
| 5696 |
\begin{align*}
y^{\prime \prime }&=\operatorname {Heaviside}\left (-2+t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.375 |
|
| 5697 |
\begin{align*}
y^{\left (6\right )}-3 y^{\prime \prime \prime \prime }+3 y^{\prime \prime }-y&=0 \\
y \left (0\right ) &= 16 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= 0 \\
y^{\prime \prime \prime }\left (0\right ) &= 0 \\
y^{\prime \prime \prime \prime }\left (0\right ) &= 0 \\
y^{\left (5\right )}\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.375 |
|
| 5698 |
\begin{align*}
x^{\prime }&=2 x-y \\
y^{\prime }&=3 x-2 y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 2 \\
y \left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.375 |
|
| 5699 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}-4 x_{2} \\
x_{2}^{\prime }&=x_{1}-x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.375 |
|
| 5700 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.375 |
|