| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 6801 |
\begin{align*}
x^{\prime }&=3 x-4 y \\
y^{\prime }&=x+3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.349 |
|
| 6802 |
\begin{align*}
x_{1}^{\prime }&=-x_{1}-4 x_{2} \\
x_{2}^{\prime }&=x_{1}-x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.349 |
|
| 6803 |
\begin{align*}
y^{\prime }&=5 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.349 |
|
| 6804 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.349 |
|
| 6805 |
\begin{align*}
\left (1-x \right ) x y^{\prime \prime }+y&=0 \\
\end{align*} Series expansion around \(x={\frac {1}{2}}\). |
✓ |
✓ |
✓ |
✓ |
0.349 |
|
| 6806 |
\begin{align*}
y^{\prime \prime }+y&=x +{\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.349 |
|
| 6807 |
\begin{align*}
3 y^{\prime \prime }-4 y^{\prime }+y&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.349 |
|
| 6808 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=18 \,{\mathrm e}^{-2 x} \cos \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.349 |
|
| 6809 |
\begin{align*}
y^{\prime \prime }+y^{\prime } x +\left (2 x^{2}+1\right ) y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.350 |
|
| 6810 |
\begin{align*}
y^{\prime \prime }-2 t y^{\prime }+\lambda y&=0 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.350 |
|
| 6811 |
\begin{align*}
y^{\prime }-2 y&=\left \{\begin {array}{cc} 1-x & x <1 \\ 0 & 1\le x \end {array}\right . \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.350 |
|
| 6812 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=\cos \left (a x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.350 |
|
| 6813 |
\begin{align*}
y^{\prime } y+2 x {y^{\prime }}^{2}+x y y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.350 |
|
| 6814 |
\begin{align*}
y^{\prime \prime }-y x&=\frac {1}{1-x} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.350 |
|
| 6815 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+3 x_{2} \\
x_{2}^{\prime }&=5 x_{1}+3 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.350 |
|
| 6816 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=2 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.350 |
|
| 6817 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{x}+\frac {y}{9}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.350 |
|
| 6818 | \begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{x}+4 y&=0 \\
\end{align*} | ✓ | ✓ | ✓ | ✓ | 0.350 |
|
| 6819 |
\begin{align*}
x^{\prime }&=2 x-5 y \\
y^{\prime }&=x-2 y \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 3 \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.350 |
|
| 6820 |
\begin{align*}
\sin \left (x \right )^{2} y^{\prime \prime }&=2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.350 |
|
| 6821 |
\begin{align*}
-2 y+y^{\prime }&={\mathrm e}^{5 t} \\
y \left (0\right ) &= 3 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.350 |
|
| 6822 |
\begin{align*}
x^{2} y^{\prime \prime }-3 y^{\prime } x +4 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.350 |
|
| 6823 |
\begin{align*}
s^{\prime \prime }+16 s^{\prime }+64 s&=0 \\
s \left (0\right ) &= 0 \\
s^{\prime }\left (0\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.350 |
|
| 6824 |
\begin{align*}
x^{\prime \prime }-3 x^{\prime }-4 x&=3 \cos \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.350 |
|
| 6825 |
\begin{align*}
y^{\prime \prime }+y&=\cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.350 |
|
| 6826 |
\begin{align*}
y^{\prime \prime }+a^{2} y&=\sin \left (b x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.350 |
|
| 6827 |
\begin{align*}
t y^{\prime \prime }+2 y^{\prime }+9 t y&=0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.350 |
|
| 6828 |
\begin{align*}
y^{\prime \prime }+2 z \omega _{n} y^{\prime }+\omega _{n}^{2} y&={\mathrm e}^{c t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.350 |
|
| 6829 |
\begin{align*}
y^{\prime \prime }+16 y&={\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.351 |
|
| 6830 |
\begin{align*}
y_{1}^{\prime }&=4 y_{1}+12 y_{2} \\
y_{2}^{\prime }&=-3 y_{1}-8 y_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.351 |
|
| 6831 |
\begin{align*}
y^{\prime \prime }-4 t y^{\prime }+\left (4 t^{2}-2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.351 |
|
| 6832 |
\begin{align*}
x_{1}^{\prime }&=2 x_{2} \\
x_{2}^{\prime }&=x_{1}+x_{2} \\
\end{align*} With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 3 \\
x_{2} \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.351 |
|
| 6833 |
\begin{align*}
y_{1}^{\prime }&=1 \\
y_{2}^{\prime }&=2 y_{1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.351 |
|
| 6834 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.351 |
|
| 6835 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime } x +\left (4 x^{2}-2\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.351 |
|
| 6836 |
\begin{align*}
x^{\prime }+x \sin \left (t \right )&=0 \\
x \left (0\right ) &= 1 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.351 |
|
| 6837 | \begin{align*}
y^{\prime \prime }+y&=\csc \left (x \right ) \\
\end{align*} | ✓ | ✓ | ✓ | ✓ | 0.351 |
|
| 6838 |
\begin{align*}
y^{\prime }&=\left (y-1\right )^{2} \\
y \left (0\right ) &= {\frac {101}{100}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.351 |
|
| 6839 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+5 y&=50 t -100 \\
y \left (2\right ) &= -4 \\
y^{\prime }\left (2\right ) &= 14 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.351 |
|
| 6840 |
\begin{align*}
y^{\prime \prime }+{\mathrm e}^{x} y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.351 |
|
| 6841 |
\begin{align*}
\left (x^{3}+1\right ) y^{\prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.351 |
|
| 6842 |
\begin{align*}
9 x^{2} y^{\prime \prime }-3 x \left (-2 x^{2}+7\right ) y^{\prime }+\left (2 x^{2}+25\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.351 |
|
| 6843 |
\(\left [\begin {array}{ccc} -2 & 4 & -1 \\ -3 & 5 & -1 \\ -1 & 1 & 1 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.351 |
|
| 6844 |
\begin{align*}
4 x^{\prime \prime }-20 x^{\prime }+21 x&=0 \\
x \left (0\right ) &= -4 \\
x^{\prime }\left (0\right ) &= -12 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.351 |
|
| 6845 |
\begin{align*}
x^{\prime \prime }+x^{\prime }-2 x&=3 \,{\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.351 |
|
| 6846 |
\begin{align*}
\left (\tan \left (x \right )^{2}-1\right ) y^{\prime \prime }-4 \tan \left (x \right )^{3} y^{\prime }+2 y \sec \left (x \right )^{4}&=\left (\tan \left (x \right )^{2}-1\right ) \left (1-2 \sin \left (x \right )^{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.351 |
|
| 6847 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&=x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.351 |
|
| 6848 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-12 y&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 7 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.351 |
|
| 6849 |
\begin{align*}
x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }-11 y^{\prime } x +16 y&=\frac {1}{x^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.351 |
|
| 6850 |
\begin{align*}
y^{\prime \prime }-y&=-2 \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.351 |
|
| 6851 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{5}+y+\frac {y^{3}}{5}&=\cos \left (t w \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.351 |
|
| 6852 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}-2 x_{2} \\
x_{2}^{\prime }&=2 x_{1}-2 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.351 |
|
| 6853 |
\begin{align*}
x^{\prime \prime }+x^{\prime }-2 x&=0 \\
x \left (0\right ) &= a \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.351 |
|
| 6854 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }-3 y&=2 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.351 |
|
| 6855 |
\begin{align*}
y^{\prime \prime }+y&=3 \delta \left (t -\pi \right ) \\
y \left (0\right ) &= 6 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.351 |
|
| 6856 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +x^{2} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.351 |
|
| 6857 | \begin{align*}
y^{\prime \prime }-y&=10 \sin \left (x \right )^{2} \\
\end{align*} | ✓ | ✓ | ✓ | ✓ | 0.351 |
|
| 6858 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+6 y^{\prime } x +4 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6859 |
\begin{align*}
\left (4 x^{2}+16 x +17\right ) y^{\prime \prime }&=8 y \\
y \left (-2\right ) &= 1 \\
y^{\prime }\left (-2\right ) &= 0 \\
\end{align*} Series expansion around \(x=-2\). |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6860 |
\begin{align*}
\left (1-x \right ) y^{\prime \prime }+y^{\prime } x -2 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6861 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&=x \,{\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6862 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}+5 x_{2} \\
x_{2}^{\prime }&=-x_{1}-2 x_{2} \\
\end{align*} With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 0 \\
x_{2} \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6863 |
\begin{align*}
y^{\prime \prime } x +y^{\prime }+y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6864 |
\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*} |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6865 |
\begin{align*}
5 y+4 y^{\prime }+y^{\prime \prime }&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6866 |
\begin{align*}
5 y+4 y^{\prime }+y^{\prime \prime }&=2 \cos \left (x \right ) {\mathrm e}^{-2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6867 |
\begin{align*}
y^{\prime \prime }+y&=\csc \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6868 |
\begin{align*}
\left (x -1\right ) y^{\prime \prime }-y^{\prime } x +y&=0 \\
y \left (0\right ) &= -2 \\
y^{\prime }\left (0\right ) &= 6 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6869 |
\begin{align*}
y^{\prime }-2 y&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6870 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6871 |
\begin{align*}
x^{\prime }&=-6 x+2 y \\
y^{\prime }&=-3 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6872 |
\begin{align*}
{y^{\prime }}^{2}+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6873 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=12 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6874 |
\begin{align*}
a y+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6875 |
\begin{align*}
b \,{\mathrm e}^{2 a x} y+a y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.352 |
|
| 6876 | \begin{align*}
y y^{\prime \prime }-y^{2} y^{\prime }-{y^{\prime }}^{2}&=0 \\
\end{align*} | ✓ | ✓ | ✓ | ✗ | 0.352 |
|
| 6877 |
\begin{align*}
x^{\prime }&=x+3 y \\
y^{\prime }&=3 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6878 |
\begin{align*}
x^{\prime }&=x \\
y^{\prime }&=2 x-3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6879 |
\begin{align*}
x^{\prime }&=-x+y \\
y^{\prime }&=-2 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6880 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6881 |
\begin{align*}
y^{\prime \prime }+9 y&=52 \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6882 |
\begin{align*}
3 y^{\prime } y^{\prime \prime }&=2 y \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
0.352 |
|
| 6883 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+2 y&=x +1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6884 |
\begin{align*}
x^{\prime }&=x-y \\
y^{\prime }&=-x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6885 |
\begin{align*}
x^{\prime }&=x-2 y \\
y^{\prime }&=2 x-3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6886 |
\begin{align*}
y {y^{\prime }}^{2}-\left (y x +x +y^{2}\right ) y^{\prime }+x^{2}+y x&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
0.352 |
|
| 6887 |
\begin{align*}
x^{2} y^{\prime \prime }-y^{\prime } x +y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6888 |
\begin{align*}
x^{\prime }&=x+y \\
y^{\prime }&=9 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6889 |
\begin{align*}
y^{\prime \prime }+y&=\cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6890 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-y&=0 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6891 |
\begin{align*}
m y^{\prime \prime }+b y^{\prime }+k y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.352 |
|
| 6892 |
\begin{align*}
y^{\prime \prime \prime }-y^{\prime \prime }-4 y^{\prime }+4 y&=2 x^{2}-4 x -1+2 x^{2} {\mathrm e}^{2 x}+5 x \,{\mathrm e}^{2 x}+{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.353 |
|
| 6893 |
\begin{align*}
4 y-\left (x +4\right ) y^{\prime }+\left (1-x \right ) x y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.353 |
|
| 6894 |
\begin{align*}
\left (x^{4}+2 x^{2}+a \right ) y+4 x^{3} y^{\prime }+4 x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.353 |
|
| 6895 | \begin{align*}
y^{\prime \prime }+2 y^{\prime }+2 y&=x^{2}+\sin \left (x \right ) \\
\end{align*} | ✓ | ✓ | ✓ | ✓ | 0.353 |
|
| 6896 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+y^{\prime } x -y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.353 |
|
| 6897 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+2 y&={\mathrm e}^{x} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.353 |
|
| 6898 |
\begin{align*}
y^{\prime \prime }+c y^{\prime }+k y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.353 |
|
| 6899 |
\begin{align*}
-2 y+2 y^{\prime } x -x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime }&=x^{2}+3 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.353 |
|
| 6900 |
\begin{align*}
x^{\prime }&=-4 x-y \\
y^{\prime }&=x-2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.353 |
|