| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 7801 |
\begin{align*}
x^{\prime }&=6 x-3 y \\
y^{\prime }&=2 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 7802 |
\begin{align*}
{y^{\prime }}^{2}+\left (x +a \right ) y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 7803 |
\begin{align*}
2 x +3 y+4+\left (3 x +4 y+5\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 7804 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=\sin \left (x \right ) \\
y^{\prime }\left (1\right ) &= 0 \\
y \left (2\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 7805 |
\begin{align*}
x y^{\prime \prime }+3 y^{\prime }+x^{3} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 7806 |
\begin{align*}
\left (1+x \right ) {y^{\prime }}^{2}-\left (x +y\right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.519 |
|
| 7807 |
\begin{align*}
\left (x -3\right ) y^{\prime \prime }-\left (4 x -9\right ) y^{\prime }+\left (3 x -6\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.519 |
|
| 7808 |
\begin{align*}
y^{\prime \prime }+y&=1-\frac {1}{\sin \left (x \right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 7809 |
\begin{align*}
y^{\prime }&=\frac {1}{x^{2}+1} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 7810 |
\begin{align*}
{y^{\prime }}^{2}-y^{\prime } y+{\mathrm e}^{x}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.519 |
|
| 7811 |
\begin{align*}
y^{\prime \prime \prime }+y&=\sin \left (3 x \right )-\cos \left (\frac {x}{2}\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 7812 |
\begin{align*}
y^{\prime \prime \prime }+y^{\prime }&={\mathrm e}^{t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✗ |
✗ |
0.519 |
|
| 7813 |
\begin{align*}
{y^{\prime }}^{3}-x y^{\prime }+2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.519 |
|
| 7814 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+5 y&=8 \,{\mathrm e}^{-t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 8 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 7815 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (x^{2}-x \right ) y^{\prime }+\left (1-x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.519 |
|
| 7816 |
\begin{align*}
y^{\prime \prime }+\left (1-x \right ) y^{\prime }+2 y&=-x^{2}+1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.519 |
|
| 7817 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=0 \\
y \left (-1\right ) &= 2 \\
y^{\prime }\left (-1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 7818 |
\begin{align*}
y^{\prime }-4 y&=\frac {48 x}{y^{2}} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 7819 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-8 x y^{\prime }-12 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 7820 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}-x_{2}+{\mathrm e}^{t} \\
x_{2}^{\prime }&=4 x_{1}-x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 7821 |
\begin{align*}
y+2 y^{\prime }+4 y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 7822 |
\begin{align*}
3 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime }&=a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 7823 |
\begin{align*}
y^{\prime \prime }+3 x^{2} y^{\prime }-x y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 7824 |
\begin{align*}
y^{\prime \prime }+y&=2 \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 7825 |
\begin{align*}
x^{\prime }&=5 x+4 y \\
y^{\prime }&=-x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 7826 |
\begin{align*}
x^{\prime }&=2 x+y \\
y^{\prime }&=-x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 7827 |
\begin{align*}
y^{\prime \prime }+n^{2} y&=\frac {6 y}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 7828 |
\begin{align*}
n \left (n +1\right ) y-2 x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 7829 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (9 x^{2}-\frac {1}{25}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 7830 |
\begin{align*}
x^{\prime }&=-4 x+y \\
y^{\prime }&=2 x-3 y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 2 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 7831 |
\begin{align*}
y^{\prime \prime }&={\mathrm e}^{t} \sin \left (t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 7832 |
\begin{align*}
\left (1+x \right ) y^{\prime }-x y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 7833 |
\begin{align*}
y^{\prime \prime }+x y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 7834 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=x \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 7835 |
\begin{align*}
3 y^{\prime \prime }+48 y^{\prime }+192 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 7836 |
\begin{align*}
r^{\prime \prime }+r^{\prime }+r&=1 \\
r \left (0\right ) &= 0 \\
r^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 7837 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 7838 |
\begin{align*}
4 x y^{\prime \prime }+8 y^{\prime }+x y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 7839 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }-3 y&=1+x \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 7840 |
\begin{align*}
\left (-x +2\right ) y^{\prime \prime }+2 y&=0 \\
y \left (0\right ) &= a_{0} \\
y^{\prime }\left (0\right ) &= a_{1} \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 7841 |
\begin{align*}
x y y^{\prime }+y^{2}-\sin \left (x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 7842 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&=2 \cosh \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.521 |
|
| 7843 |
\begin{align*}
y^{\prime \prime }+9 y&=-3 \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 7844 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+3 y&=2 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 7845 |
\begin{align*}
2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 7846 |
\begin{align*}
x^{\prime }&=3 x-y+1 \\
y^{\prime }&=x+y+2 \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 7847 |
\begin{align*}
6 y-5 y^{\prime }+y^{\prime \prime }&=x^{2} {\mathrm e}^{-7 x}+2 \,{\mathrm e}^{-7 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 7848 |
\begin{align*}
x^{\prime }&=1+x \\
y^{\prime }&=x+3 y-1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 7849 |
\begin{align*}
x^{\prime }&=x \\
y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 7850 |
\begin{align*}
y^{\prime \prime }+2&=\cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 7851 |
\begin{align*}
\left (t -1\right ) y^{\prime \prime }-t y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.521 |
|
| 7852 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=0 \\
y \left (0\right ) &= 5 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 7853 |
\begin{align*}
y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }-3 y&={\mathrm e}^{x} \left (16 x^{3}+24 x^{2}+2 x -1\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 7854 |
\begin{align*}
y_{1}^{\prime }&=-y_{1}-4 y_{2} \\
y_{2}^{\prime }&=-y_{1}-y_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 7855 |
\begin{align*}
\left (3+4 x \right ) y+16 x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 7856 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 7857 |
\begin{align*}
2 y^{\prime \prime }+3 y^{\prime }+y&={\mathrm e}^{-3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 7858 |
\begin{align*}
y^{\prime \prime \prime }+4 y^{\prime \prime }&=12 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 7859 |
\begin{align*}
y^{\prime \prime }&=6 \sin \left (3 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 7860 |
\begin{align*}
t^{2} y^{\prime \prime }+t \,{\mathrm e}^{t} y^{\prime }+4 \left (1-4 t \right ) y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✗ |
0.522 |
|
| 7861 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+13 y&=0 \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 7862 |
\begin{align*}
2 x^{2} y^{\prime \prime }+\sin \left (x \right ) y^{\prime }-\cos \left (x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.523 |
|
| 7863 |
\begin{align*}
x_{1}^{\prime }&=7 x_{1}-5 x_{2} \\
x_{2}^{\prime }&=4 x_{1}+3 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 7864 |
\begin{align*}
y^{\prime \prime }+2 x y^{\prime }+3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 7865 |
\begin{align*}
x^{4} y^{\prime \prime \prime \prime }-4 x^{3} y^{\prime \prime \prime }+12 x^{2} y^{\prime \prime }-24 x y^{\prime }+24 y&=x^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 7866 |
\begin{align*}
x y^{\prime \prime }&=-y^{2}-2 y^{\prime }+{y^{\prime }}^{2} x^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.523 |
|
| 7867 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}-18 x_{2} \\
x_{2}^{\prime }&=2 x_{1}-9 x_{2} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 2 \\
x_{2} \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 7868 |
\begin{align*}
y^{\prime \prime }&=k \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 7869 |
\begin{align*}
y^{\prime \prime }+y&=\tan \left (x \right )^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 7870 |
\begin{align*}
x^{2} y^{\prime \prime }-x y^{\prime }+\frac {3 y}{4}&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 7871 |
\begin{align*}
x^{\prime }&=2 y \\
y^{\prime }&=-2 x \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 7872 |
\begin{align*}
y^{\prime \prime }&=-2 {y^{\prime }}^{2} x \\
y \left (1\right ) &= -{\frac {1}{4}} \\
y^{\prime }\left (1\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 7873 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+13 y&=0 \\
y \left (0\right ) &= 5 \\
y^{\prime }\left (0\right ) &= 31 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 7874 |
\begin{align*}
x y^{\prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 7875 |
\begin{align*}
y^{\prime \prime }-x f \left (x \right ) y^{\prime }+f \left (x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.523 |
|
| 7876 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 7877 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&={\mathrm e}^{2 x} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 7878 |
\begin{align*}
v^{\prime \prime }+\frac {2 v^{\prime }}{r}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 7879 |
\begin{align*}
z^{\prime \prime }+8 z^{\prime }+16 z&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 7880 |
\begin{align*}
y^{\prime \prime \prime }+9 y^{\prime \prime }&=11 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 7881 |
\begin{align*}
y^{\prime \prime \prime \prime }-2 y^{\prime \prime }&=12 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 7882 |
\begin{align*}
y^{\prime \prime \prime }+2 y^{\prime \prime }+y^{\prime }&={\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 7883 |
\begin{align*}
y^{\prime \prime }+y&=x^{2}+\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 7884 |
\begin{align*}
\left (x^{3} y^{3}+x^{2} y^{2}+x y+1\right ) y+\left (x^{3} y^{3}-x^{2} y^{2}-x y+1\right ) x y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 7885 |
\begin{align*}
x^{\prime \prime }+3 x^{\prime }+5 x&=-4 \cos \left (5 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 7886 |
\begin{align*}
x^{2} y^{\prime \prime }-x y^{\prime }&={\mathrm e}^{x} x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 7887 |
\begin{align*}
\left (-1+x \right ) y^{\prime \prime }+3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 7888 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+9 y&=\frac {{\mathrm e}^{-3 x}}{x^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 7889 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=x \,{\mathrm e}^{x} \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 7890 |
\begin{align*}
\left (x^{2}-x \right ) y^{\prime \prime }+\left (2 x^{2}+4 x -3\right ) y^{\prime }+8 x y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.524 |
|
| 7891 |
\begin{align*}
y^{\prime \prime }-4 y&=t^{3} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 7892 |
\begin{align*}
x^{\prime }&=x+2 y \\
y^{\prime }&=5 x-2 y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 15 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 7893 |
\begin{align*}
x^{\prime }&=5 x+4 y \\
y^{\prime }&=8 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 7894 |
\begin{align*}
x^{\prime \prime }+b x^{\prime }+c x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 7895 |
\begin{align*}
x^{\prime }&=x-6 y \\
y^{\prime }&=-2 x-y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 7896 |
\begin{align*}
y^{\prime \prime \prime }-5 y^{\prime \prime }+4 y&=14 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 7897 |
\begin{align*}
t^{2} y^{\prime \prime }+3 t \left (1+3 t \right ) y^{\prime }+\left (-t^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 7898 |
\begin{align*}
x^{\prime }&=x+y \\
y^{\prime }&=x+y+t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 7899 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=\sin \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.525 |
|
| 7900 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}+x_{2} \\
x_{2}^{\prime }&=-x_{1}+4 x_{2} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 1 \\
x_{2} \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.525 |
|