| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 6801 |
\begin{align*}
x^{\prime }&=\frac {5 x}{4}+\frac {3 y}{4} \\
y^{\prime }&=a x+\frac {5 y}{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.851 |
|
| 6802 |
\begin{align*}
y^{\prime \prime }-y&={\mathrm e}^{x}+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.851 |
|
| 6803 |
\begin{align*}
2 y^{\prime \prime }+14 y^{\prime }+25 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.851 |
|
| 6804 |
\begin{align*}
{y^{\prime }}^{2}-\left (x^{2} y+3\right ) y^{\prime }+3 x^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.851 |
|
| 6805 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1} \\
x_{2}^{\prime }&=x_{2}-x_{3} \\
x_{3}^{\prime }&=x_{2}+x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 6806 |
\begin{align*}
y^{\prime \prime }+y^{\prime } x +\left (2+x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 6807 |
\begin{align*}
2 x^{2} y^{\prime \prime }-x \left (2 x +1\right ) y^{\prime }+2 \left (4 x -1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 6808 |
\begin{align*}
y^{\prime }-y^{\prime \prime } x +{y^{\prime \prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 6809 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+3 y&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 6810 |
\begin{align*}
\left (x^{2}-3 x +2\right ) y^{\prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 6811 |
\begin{align*}
y^{\prime }&=1+y \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 6812 |
\begin{align*}
x^{\prime }&=x+y \\
y^{\prime }&=3 x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 6813 |
\begin{align*}
x^{\prime }&=x-y \\
y^{\prime }&=x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 6814 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-y&=-x^{4}+3 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 6815 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }-y&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 6816 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+y&=a \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 6817 |
\begin{align*}
y^{\prime \prime \prime \prime }-y^{\prime \prime }&=3 x^{2}+4 \sin \left (x \right )-2 \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 6818 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+5 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 6819 |
\begin{align*}
y^{\prime }+5 y&=0 \\
y \left (1\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 6820 |
\begin{align*}
y^{\prime \prime \prime }-3 y^{\prime }&={\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 6821 |
\begin{align*}
y^{\prime }&=y^{3}+{\mathrm e}^{-5 t} \\
y \left (0\right ) &= {\frac {2}{5}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.853 |
|
| 6822 |
\begin{align*}
x_{1}^{\prime }&=x_{1}-x_{2} \\
x_{2}^{\prime }&=5 x_{1}-3 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.853 |
|
| 6823 |
\begin{align*}
y^{\prime } x&=2 x^{2}+1 \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.853 |
|
| 6824 |
\begin{align*}
y&=y^{\prime } x -{y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.853 |
|
| 6825 |
\begin{align*}
x^{2} y y^{\prime \prime }+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.853 |
|
| 6826 |
\begin{align*}
x_{1}^{\prime }&=-2 x_{1}+x_{2}+2 \,{\mathrm e}^{-t} \\
x_{2}^{\prime }&=x_{1}-2 x_{2}+3 t \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= \alpha _{1} \\
x_{2} \left (0\right ) &= \alpha _{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.854 |
|
| 6827 |
\begin{align*}
y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+13 y^{\prime \prime }-19 y^{\prime }+10 y&={\mathrm e}^{x} \left (\left (7+8 x \right ) \cos \left (2 x \right )+\left (8-4 x \right ) \sin \left (2 x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.854 |
|
| 6828 |
\begin{align*}
x \left (-y x +1\right ) \left (1-y^{2} x^{2}\right ) y^{\prime }+\left (y x +1\right ) \left (y^{2} x^{2}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.854 |
|
| 6829 |
\begin{align*}
x {y^{\prime }}^{2}+\left (x -y\right ) y^{\prime }+1-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.854 |
|
| 6830 |
\begin{align*}
y^{\prime \prime } x +y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.854 |
|
| 6831 |
\begin{align*}
x^{2} y^{\prime \prime }+2 y^{\prime } x -12 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.855 |
|
| 6832 |
\begin{align*}
x^{\prime }&=5 x-y \\
y^{\prime }&=3 x+y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 2 \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.855 |
|
| 6833 |
\begin{align*}
x^{\prime }&=3 x+2 y \\
y^{\prime }&=x+2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.855 |
|
| 6834 |
\begin{align*}
y^{\prime \prime }-y&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.855 |
|
| 6835 |
\begin{align*}
4 t^{2} y^{\prime \prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.855 |
|
| 6836 |
\begin{align*}
y^{\prime \prime }+4 y&=g \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.856 |
|
| 6837 |
\begin{align*}
y&=2 y^{\prime } x +y^{2} {y^{\prime }}^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.856 |
|
| 6838 |
\begin{align*}
y^{\prime \prime }+y&=a \cos \left (b x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.856 |
|
| 6839 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&=3 \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.856 |
|
| 6840 |
\begin{align*}
y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.856 |
|
| 6841 |
\begin{align*}
{y^{\prime }}^{2}-y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.856 |
|
| 6842 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+y&=3 \,{\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.856 |
|
| 6843 |
\begin{align*}
y^{\left (5\right )}-6 y^{\prime \prime \prime \prime }+12 y^{\prime \prime \prime }-8 y^{\prime \prime }&=48 \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.856 |
|
| 6844 |
\begin{align*}
x^{\prime }&=8 x+14 y \\
y^{\prime }&=7 x+y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.857 |
|
| 6845 |
\begin{align*}
y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y&=2 \,{\mathrm e}^{x} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 3 \\
y^{\prime \prime }\left (0\right ) &= -3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.857 |
|
| 6846 |
\begin{align*}
y^{\prime \prime } x -\left (x +4\right ) y^{\prime }+3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.858 |
|
| 6847 |
\begin{align*}
x^{\prime \prime }+4 x&=f \left (t \right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.858 |
|
| 6848 |
\begin{align*}
y^{\prime \prime }-5 y&=2 \,{\mathrm e}^{5 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.858 |
|
| 6849 |
\begin{align*}
y^{\prime \prime }+a y^{\prime }+\left (b \,{\mathrm e}^{\lambda x}+c \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.858 |
|
| 6850 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&={\mathrm e}^{3 t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.858 |
|
| 6851 |
\begin{align*}
4 y^{\prime \prime }-4 y^{\prime }+y&=16 \,{\mathrm e}^{\frac {t}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.858 |
|
| 6852 |
\begin{align*}
y^{\prime \prime }+y&=\tan \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.858 |
|
| 6853 |
\begin{align*}
y^{\prime \prime }-y&={\mathrm e}^{2 t} t \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.858 |
|
| 6854 |
\begin{align*}
9 y^{\prime \prime }-30 y^{\prime }+25 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.858 |
|
| 6855 |
\begin{align*}
x^{2} y^{\prime \prime }&=b x +a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.859 |
|
| 6856 |
\begin{align*}
x^{2} \left (x -y\right ) y^{\prime \prime }&=a \left (-y+y^{\prime } x \right )^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.859 |
|
| 6857 |
\begin{align*}
x^{2} y^{\prime \prime }-5 y^{\prime }+3 x^{2} y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
0.859 |
|
| 6858 |
\begin{align*}
y^{\prime \prime }-x^{2} \left (x +1\right ) y^{\prime }+x \left (x^{4}-2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.859 |
|
| 6859 |
\begin{align*}
\left (t \cos \left (t \right )-\sin \left (t \right )\right ) x^{\prime \prime }-x^{\prime } t \sin \left (t \right )-x \sin \left (t \right )&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.859 |
|
| 6860 |
\begin{align*}
y^{\prime \prime }+y&=\frac {1}{\sin \left (x \right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.859 |
|
| 6861 |
\begin{align*}
t y^{\prime \prime }+\left (t -1\right ) y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.859 |
|
| 6862 |
\begin{align*}
y^{\prime \prime }&=\cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.860 |
|
| 6863 |
\begin{align*}
\sin \left (x \right ) y^{\prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.860 |
|
| 6864 |
\begin{align*}
y^{\prime \prime }-4 y&=100 \,{\mathrm e}^{x} \sin \left (x \right ) x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.860 |
|
| 6865 |
\begin{align*}
x^{4} y^{\prime \prime }&=-4 y^{2}+x \left (x^{2}+2 y\right ) y^{\prime } \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.860 |
|
| 6866 |
\begin{align*}
f \left (x \right )^{2} y^{\prime \prime }&=-24 f \left (x \right )^{4}+\left (3 f \left (x \right )^{3}-f \left (x \right )^{2} y+3 f \left (x \right ) f^{\prime }\left (x \right )\right ) y^{\prime } \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.860 |
|
| 6867 |
\begin{align*}
3 y^{\prime \prime }+5 y^{\prime }-2 y&=3 t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.860 |
|
| 6868 |
\begin{align*}
y^{\prime }&=\ln \left (x \right ) \\
y \left ({\mathrm e}\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.860 |
|
| 6869 |
\begin{align*}
x {y^{\prime }}^{2}+\left (1-x^{2} y\right ) y^{\prime }-y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.860 |
|
| 6870 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}+x_{3}+{\mathrm e}^{2 t} \\
x_{2}^{\prime }&=2 x_{2} \\
x_{3}^{\prime }&=x_{2}+3 x_{3}+{\mathrm e}^{2 t} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 1 \\
x_{2} \left (0\right ) &= 1 \\
x_{3} \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.861 |
|
| 6871 |
\begin{align*}
2 {y^{\prime }}^{5}+2 y^{\prime } x&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.861 |
|
| 6872 |
\begin{align*}
y^{\prime }+\left (2+x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.861 |
|
| 6873 |
\begin{align*}
6 y-5 y^{\prime }+y^{\prime \prime }&=100 \sin \left (4 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.861 |
|
| 6874 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=0 \\
y \left (0\right ) &= {\frac {81}{10}} \\
y^{\prime }\left (0\right ) &= {\frac {39}{10}} \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.861 |
|
| 6875 |
\begin{align*}
y^{\prime \prime }-\frac {t}{y}&=\frac {1}{\pi } \\
y \left (0\right ) &= y_{0} \\
y^{\prime }\left (0\right ) &= y_{1} \\
\end{align*} |
✗ |
✗ |
✓ |
✗ |
0.861 |
|
| 6876 |
\begin{align*}
y^{\prime \prime \prime \prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.861 |
|
| 6877 |
\begin{align*}
y^{\prime \prime \prime \prime }-y&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.861 |
|
| 6878 |
\begin{align*}
x^{\prime \prime }+8 x^{\prime }+25 x&=200 \cos \left (t \right )+520 \sin \left (t \right ) \\
x \left (0\right ) &= -30 \\
x^{\prime }\left (0\right ) &= -10 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 6879 |
\begin{align*}
\left (2 x^{2}+x +1\right ) y^{\prime \prime }+\left (1+7 x \right ) y^{\prime }+2 y&=0 \\
y \left (1\right ) &= 1 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 6880 |
\begin{align*}
x^{2} \left (2 x^{2}+x +1\right ) y^{\prime \prime }+x \left (7 x^{2}+6 x +3\right ) y^{\prime }+\left (-3 x^{2}+6 x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 6881 |
\begin{align*}
4 x^{2} \left (x^{2}+x +1\right ) y^{\prime \prime }+12 x^{2} \left (x +1\right ) y^{\prime }+\left (3 x^{2}+3 x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 6882 |
\begin{align*}
y^{\prime \prime } x&=x^{2}+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 6883 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1} \\
x_{2}^{\prime }&=5 x_{2}-7 x_{3} \\
x_{3}^{\prime }&=2 x_{2}-4 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 6884 |
\begin{align*}
\operatorname {A4} y+\operatorname {A3} x y^{\prime }+\operatorname {A2} \,x^{2} y^{\prime \prime }+\operatorname {A1} \,x^{3} y^{\prime \prime \prime }+x^{4} y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.862 |
|
| 6885 |
\begin{align*}
y^{\prime \prime }-2 k y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 6886 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+25 y&=50 t^{3}-36 t^{2}-63 t +18 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 6887 |
\begin{align*}
x^{\prime }&=\frac {x}{2} \\
y^{\prime }&=x-\frac {y}{2} \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 4 \\
y \left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 6888 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+8 y&=x^{3}+x +{\mathrm e}^{-2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 6889 |
\(\left [\begin {array}{ccc} 1 & 1 & 0 \\ 1 & 0 & 1 \\ 0 & 1 & 1 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.862 |
|
| 6890 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&=\cosh \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.862 |
|
| 6891 |
\begin{align*}
x^{\prime }&=2 x-y \\
y^{\prime }&=5 x-2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 6892 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+\frac {y}{4}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 6893 |
\begin{align*}
y_{1}^{\prime }&=y_{1}-y_{2}+2 y_{3} \\
y_{2}^{\prime }&=12 y_{1}-4 y_{2}+10 y_{3} \\
y_{3}^{\prime }&=-6 y_{1}+y_{2}-7 y_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.863 |
|
| 6894 |
\begin{align*}
y^{\prime \prime }&=\frac {y^{\prime }}{x}-\frac {a y}{x^{6}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.863 |
|
| 6895 |
\begin{align*}
x^{\prime }&=x+2 y \\
y^{\prime }&=3 x+2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.863 |
|
| 6896 |
\begin{align*}
y^{\prime \prime }-7 y^{\prime }+6 y&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.863 |
|
| 6897 |
\begin{align*}
y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y&=3 x \,{\mathrm e}^{x} \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.863 |
|
| 6898 |
\begin{align*}
x^{2} y^{\prime \prime }-y^{\prime } x +y&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.863 |
|
| 6899 |
\begin{align*}
x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }+y^{\prime } x -y&=x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.864 |
|
| 6900 |
\begin{align*}
\left (b x +a \right ) y+y^{\prime } x +x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.864 |
|