| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 9801 |
\begin{align*}
\left (x +1\right ) y^{\prime \prime }+\frac {y^{\prime }}{x}+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.730 |
|
| 9802 |
\begin{align*}
y-x y^{\prime }+\left (x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.730 |
|
| 9803 |
\begin{align*}
y^{\prime \prime }+3 x y^{\prime }-y \,{\mathrm e}^{x}&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.730 |
|
| 9804 |
\begin{align*}
y^{\prime \prime }-\sin \left (x \right ) y^{\prime }&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.730 |
|
| 9805 |
\begin{align*}
y^{\prime \prime }-4 y&=\cos \left (\pi x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.730 |
|
| 9806 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime }&=1 \\
y \left (2\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.730 |
|
| 9807 |
\begin{align*}
3 x^{2} y^{\prime \prime }+\left (-6 x^{2}+2\right ) y^{\prime }-4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.730 |
|
| 9808 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=6 y+5 \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.730 |
|
| 9809 |
\begin{align*}
y^{\prime \prime }-\left (m_{1} +m_{2} \right ) y^{\prime }+m_{1} m_{2} y&={\mathrm e}^{m x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.730 |
|
| 9810 |
\begin{align*}
y^{\prime \prime }+y&=10 \,{\mathrm e}^{2 t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.730 |
|
| 9811 |
\begin{align*}
x&=y^{\prime }+\arcsin \left (y^{\prime }\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.730 |
|
| 9812 |
\begin{align*}
3 y^{\prime \prime }+4 y^{\prime }+y&=\sin \left (t \right ) {\mathrm e}^{-t} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.731 |
|
| 9813 |
\begin{align*}
x_{1}^{\prime }&=-x_{2}+x_{3} \\
x_{2}^{\prime }&=2 x_{1}-3 x_{2}+x_{3} \\
x_{3}^{\prime }&=x_{1}-x_{2}-x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.731 |
|
| 9814 |
\begin{align*}
y^{\prime \prime }+{\mathrm e}^{x} y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.731 |
|
| 9815 |
\begin{align*}
2 y^{\prime \prime }+x y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.731 |
|
| 9816 |
\begin{align*}
y^{\prime \prime }+2 x y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.731 |
|
| 9817 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.731 |
|
| 9818 |
\begin{align*}
y^{\prime \prime }&=-\frac {y^{\prime }}{x^{3}}+\frac {2 y}{x^{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.731 |
|
| 9819 |
\begin{align*}
4 x^{\prime }+9 y^{\prime }+11 x+31 y&={\mathrm e}^{t} \\
3 x^{\prime }+7 y^{\prime }+8 x+24 y&={\mathrm e}^{2 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.731 |
|
| 9820 |
\begin{align*}
\left (x^{2}+1\right )^{2} y^{\prime \prime }+a y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.731 |
|
| 9821 |
\begin{align*}
4 y+y^{\prime \prime }&=12 x^{2}-16 x \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.731 |
|
| 9822 |
\begin{align*}
x^{\prime }&=3 x-4 y \\
y^{\prime }&=x+3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.731 |
|
| 9823 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&=\cosh \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.731 |
|
| 9824 |
\begin{align*}
x^{\prime }-y&=3 \\
y^{\prime }-3 x^{\prime }&=-2 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.731 |
|
| 9825 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.731 |
|
| 9826 |
\begin{align*}
4 x^{2} y^{\prime \prime }+2 x^{3} y^{\prime }+\left (3 x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.732 |
|
| 9827 |
\begin{align*}
y^{\prime \prime }-y&=4 x \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.732 |
|
| 9828 |
\begin{align*}
x^{2} y^{\prime \prime }-x^{2} y^{\prime }+\left (x -2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.732 |
|
| 9829 |
\begin{align*}
y^{\prime \prime }-x y^{\prime }-y x -x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.732 |
|
| 9830 |
\begin{align*}
y^{\prime }-1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.732 |
|
| 9831 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.732 |
|
| 9832 |
\begin{align*}
V^{\prime \prime }+\frac {V^{\prime }}{r}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.732 |
|
| 9833 |
\begin{align*}
y&=x \left (y^{\prime }+1\right )+{y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.732 |
|
| 9834 |
\begin{align*}
4 y+y^{\prime \prime }&=\sin \left (3 x \right )+{\mathrm e}^{x}+x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.732 |
|
| 9835 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+x y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.732 |
|
| 9836 |
\begin{align*}
y&=x y^{\prime }+1+4 {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.732 |
|
| 9837 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (\omega t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.732 |
|
| 9838 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (x -1\right ) y&=-1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✗ |
✓ |
✗ |
0.732 |
|
| 9839 |
\begin{align*}
x_{1}^{\prime }&=-4 x_{1}+2 x_{2}+\frac {1}{t} \\
x_{2}^{\prime }&=2 x_{1}-x_{2}+\frac {2}{t}+4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.733 |
|
| 9840 |
\begin{align*}
y^{\prime \prime }+2 y&=x +{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.733 |
|
| 9841 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+2 x y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.733 |
|
| 9842 |
\begin{align*}
2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y&=x^{2} \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.733 |
|
| 9843 |
\begin{align*}
x^{\prime }&=3 x+2 y \\
y^{\prime }&=x+2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.733 |
|
| 9844 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&={\mathrm e}^{-x} \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.733 |
|
| 9845 |
\begin{align*}
y^{\prime \prime }-y&={\mathrm e}^{x}+\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.733 |
|
| 9846 |
\begin{align*}
x^{\prime }&=2 x+y \\
y^{\prime }&=-x+z \\
z^{\prime }&=x+3 y+z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.733 |
|
| 9847 |
\begin{align*}
y^{\prime \prime }+9 y&={\mathrm e}^{i \omega t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.733 |
|
| 9848 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.733 |
|
| 9849 |
\begin{align*}
3 x^{2} y^{\prime \prime }+2 x y^{\prime }+\left (x^{2}-2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.734 |
|
| 9850 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=\frac {4 \,{\mathrm e}^{x} \ln \left (x \right )}{x^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.734 |
|
| 9851 |
\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*} |
✓ |
✓ |
✓ |
✓ |
0.734 |
|
| 9852 |
\begin{align*}
\left (x +2\right ) y^{\prime \prime }+x y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.734 |
|
| 9853 |
\begin{align*}
y^{\prime \prime }&=\frac {\left (3 \sin \left (x \right )^{2}+1\right ) y^{\prime }}{\cos \left (x \right ) \sin \left (x \right )}+\frac {\sin \left (x \right )^{2} y}{\cos \left (x \right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.734 |
|
| 9854 |
\begin{align*}
x^{3} y^{\prime \prime }+x^{2} y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=2\). |
✓ |
✓ |
✓ |
✓ |
0.734 |
|
| 9855 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+16 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.734 |
|
| 9856 |
\begin{align*}
x^{\prime }&=x+z \\
y^{\prime }&=-y+z \\
z^{\prime }&=y-z \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 1 \\
z \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.734 |
|
| 9857 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=x^{2}-1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.734 |
|
| 9858 |
\begin{align*}
y^{\prime \prime }-y&=\frac {1}{\left (1+{\mathrm e}^{-x}\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.734 |
|
| 9859 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=x^{3}+2 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.734 |
|
| 9860 |
\begin{align*}
y^{\prime \prime }-y^{\prime }+y&=x^{3}-2 x^{2}+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.734 |
|
| 9861 |
\begin{align*}
y^{\prime \prime }+y&=x^{2} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.734 |
|
| 9862 |
\begin{align*}
x y^{\prime \prime }+2 y^{\prime }+9 y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.735 |
|
| 9863 |
\begin{align*}
9 x^{2} \left (x^{2}+x +1\right ) y^{\prime \prime }+3 x \left (13 x^{2}+7 x +1\right ) y^{\prime }+\left (25 x^{2}+4 x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.735 |
|
| 9864 |
\begin{align*}
y_{1}^{\prime }&=-2 y_{2} \\
y_{2}^{\prime }&=y_{1}+2 y_{2} \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= -1 \\
y_{2} \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.735 |
|
| 9865 |
\begin{align*}
{y^{\prime }}^{2}+x y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.735 |
|
| 9866 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+5 \left (x +1\right ) y^{\prime }+\left (x^{2}-x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.735 |
|
| 9867 |
\begin{align*}
x^{3} y^{\prime \prime }-\left (x y^{\prime }-y\right )^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.735 |
|
| 9868 |
\begin{align*}
x^{\prime \prime }-x&=\frac {1}{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.735 |
|
| 9869 |
\begin{align*}
2 x y^{\prime } y^{\prime \prime }&=-1+{y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.735 |
|
| 9870 |
\begin{align*}
{y^{\prime }}^{2}-\left (x +1\right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.736 |
|
| 9871 |
\begin{align*}
y {y^{\prime }}^{2}+\left (x -y\right ) y^{\prime }-x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.736 |
|
| 9872 |
\begin{align*}
4 x^{2} y^{\prime \prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.736 |
|
| 9873 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+x_{2}-8 \\
x_{2}^{\prime }&=x_{1}+x_{2}+3 \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 1 \\
x_{2} \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.736 |
|
| 9874 |
\begin{align*}
x y^{\prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.736 |
|
| 9875 |
\begin{align*}
2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y&=1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.736 |
|
| 9876 |
\begin{align*}
4 x^{2} y^{\prime \prime }-x^{4} {y^{\prime }}^{2}+4 y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.736 |
|
| 9877 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+25 y&=-1 \\
y \left (0\right ) &= -{\frac {1}{25}} \\
y^{\prime }\left (0\right ) &= 7 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.736 |
|
| 9878 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+9 y&={\mathrm e}^{-3 t} \ln \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.736 |
|
| 9879 |
\begin{align*}
5 y+2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{-x} \sec \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.736 |
|
| 9880 |
\begin{align*}
u^{\prime \prime }+\left (\tan \left (x \right )-2 \cos \left (x \right )\right ) u^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.736 |
|
| 9881 |
\begin{align*}
x^{2} \left (x +1\right ) y^{\prime \prime }-x \left (-x +3\right ) y^{\prime }+4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.737 |
|
| 9882 |
\begin{align*}
y^{\prime \prime }+y&=3 x \sin \left (x \right ) \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.737 |
|
| 9883 |
\begin{align*}
x y^{\prime \prime }&=x^{2}+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.737 |
|
| 9884 |
\begin{align*}
2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.737 |
|
| 9885 |
\begin{align*}
x_{1}^{\prime }&=-17 x_{1}-42 x_{3} \\
x_{2}^{\prime }&=-7 x_{1}+4 x_{2}-14 x_{3} \\
x_{3}^{\prime }&=7 x_{1}+18 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.737 |
|
| 9886 |
\begin{align*}
{\mathrm e}^{x} \sin \left (y\right )+{\mathrm e}^{-y}-\left (x \,{\mathrm e}^{-y}-{\mathrm e}^{x} \cos \left (y\right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.737 |
|
| 9887 |
\begin{align*}
y^{\prime \prime }&=0 \\
y \left (1\right ) &= 2 \\
y^{\prime }\left (1\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.737 |
|
| 9888 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-y x&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.737 |
|
| 9889 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+3 y&=9 x^{2}+4 \\
y \left (0\right ) &= 6 \\
y^{\prime }\left (0\right ) &= 8 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.737 |
|
| 9890 |
\begin{align*}
y^{\prime }+\sin \left (x \right ) y^{2}-\frac {2 \sin \left (x \right )}{\cos \left (x \right )^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.737 |
|
| 9891 |
\begin{align*}
4 y^{\prime \prime }+5 y^{\prime }+4 y&=3 \,{\mathrm e}^{-t} \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.737 |
|
| 9892 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
0.737 |
|
| 9893 |
\begin{align*}
x^{2}+x y^{\prime }&=3 x +y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.737 |
|
| 9894 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=8 \,{\mathrm e}^{-2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.737 |
|
| 9895 |
\begin{align*}
y^{\prime \prime }+y&=\tan \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.737 |
|
| 9896 |
\begin{align*}
x^{\prime }&=y \\
y^{\prime }&=-4 x+4 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.737 |
|
| 9897 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&=4 x^{2} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.737 |
|
| 9898 |
\begin{align*}
y^{\prime \prime }-y&=1+x \,{\mathrm e}^{x}+{\mathrm e}^{x} \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.737 |
|
| 9899 |
\begin{align*}
y^{\prime \prime }-y&=5 \sin \left (x \right )^{2} \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.737 |
|
| 9900 |
\begin{align*}
x_{1}^{\prime }&=-15 x_{1}-7 x_{2}+4 x_{3} \\
x_{2}^{\prime }&=34 x_{1}+16 x_{2}-11 x_{3} \\
x_{3}^{\prime }&=17 x_{1}+7 x_{2}+5 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.738 |
|