| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 8801 |
\begin{align*}
{x^{\prime }}^{2}&=-4 x+4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.646 |
|
| 8802 |
\begin{align*}
t^{2} y^{\prime \prime }-2 t y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.646 |
|
| 8803 |
\begin{align*}
y^{\prime \prime }-y&=\frac {1}{1+{\mathrm e}^{-t}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.646 |
|
| 8804 |
\begin{align*}
y^{\prime \prime }+y&=2 \cos \left (x \right )+2 \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.646 |
|
| 8805 |
\begin{align*}
y^{\prime \prime }+9 y&=2 \cos \left (3 x \right )+3 \sin \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.647 |
|
| 8806 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+3 x_{2}+7 x_{3} \\
x_{2}^{\prime }&=-x_{2}-4 x_{3} \\
x_{3}^{\prime }&=x_{2}+3 x_{3} \\
x_{4}^{\prime }&=-6 x_{2}-14 x_{3}+x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.647 |
|
| 8807 |
\begin{align*}
y^{\prime \prime }-5 y^{\prime }+6 y&=g \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.647 |
|
| 8808 |
\begin{align*}
y^{\prime \prime }+4 y&=g \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.647 |
|
| 8809 |
\begin{align*}
x_{1}^{\prime }&=x_{1}-2 x_{2} \\
x_{2}^{\prime }&=5 x_{1}-5 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.647 |
|
| 8810 |
\begin{align*}
5 y+4 y^{\prime }+y^{\prime \prime }&=2 \,{\mathrm e}^{-2 x} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.647 |
|
| 8811 |
\begin{align*}
4 y+y^{\prime \prime }&=\cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.647 |
|
| 8812 |
\begin{align*}
x y^{\prime \prime }+\left (2 a x \ln \left (x \right )+1\right ) y^{\prime }+\left (a^{2} x \ln \left (x \right )^{2}+a \ln \left (x \right )+a \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.647 |
|
| 8813 |
\begin{align*}
x^{2} y^{\prime \prime }+a x y^{\prime }+\left (b \,x^{m}+c \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.647 |
|
| 8814 |
\begin{align*}
y^{\prime \prime }+7 y^{\prime }+10 y&=0 \\
y \left (0\right ) &= -4 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.647 |
|
| 8815 |
\begin{align*}
x^{\prime }&=7 x-4 y \\
y^{\prime }&=x+3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.647 |
|
| 8816 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&=0 \\
y \left (1\right ) &= 3 \\
y^{\prime }\left (1\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.647 |
|
| 8817 |
\begin{align*}
2 y y^{\prime \prime }-{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.647 |
|
| 8818 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{x}+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.647 |
|
| 8819 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+y&=18 \,{\mathrm e}^{-t} \\
y \left (0\right ) &= 7 \\
y^{\prime }\left (0\right ) &= -2 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.647 |
|
| 8820 |
\begin{align*}
x_{1}^{\prime }&=x_{2}+x_{3} \\
x_{2}^{\prime }&=x_{1}+x_{3} \\
x_{3}^{\prime }&=x_{1}+x_{2} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 10 \\
x_{2} \left (0\right ) &= 12 \\
x_{3} \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.648 |
|
| 8821 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=14 x^{{3}/{2}} {\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.648 |
|
| 8822 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1} \\
x_{2}^{\prime }&=x_{1}+3 x_{2} \\
x_{3}^{\prime }&=3 x_{3} \\
x_{4}^{\prime }&=2 x_{3}+3 x_{4} \\
\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 \\
x_{4} \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.648 |
|
| 8823 |
\begin{align*}
1-\sqrt {a^{2}-x^{2}}\, y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.648 |
|
| 8824 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{x}-y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.648 |
|
| 8825 |
\begin{align*}
y^{\prime \prime }+2 y x&=x^{2} \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.648 |
|
| 8826 |
\begin{align*}
x^{\prime }&=-4 x+2 y \\
y^{\prime }&=-\frac {5 x}{2}+2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.648 |
|
| 8827 |
\begin{align*}
t y^{\prime }+y&=\sin \left (t \right ) \\
y \left (1\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✗ |
✓ |
✓ |
0.648 |
|
| 8828 |
\(\left [\begin {array}{ccc} 1 & 0 & 0 \\ -6 & 8 & 2 \\ 12 & -15 & -3 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.648 |
|
| 8829 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+8 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.648 |
|
| 8830 |
\begin{align*}
12 y-7 y^{\prime }+y^{\prime \prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.648 |
|
| 8831 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{x}+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.648 |
|
| 8832 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{x}+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.648 |
|
| 8833 |
\begin{align*}
y^{\prime }&=\frac {\ln \left (x \right )}{x} \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.648 |
|
| 8834 |
\begin{align*}
x y^{\prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.648 |
|
| 8835 |
\begin{align*}
y^{\prime \prime }-12 y^{\prime }+36 y&={\mathrm e}^{6 x} \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.648 |
|
| 8836 |
\begin{align*}
x^{2} y^{\prime \prime }-\left (x^{2}+x \right ) y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.648 |
|
| 8837 |
\begin{align*}
x^{\prime \prime }+4 x^{\prime }+5 x&=10 \\
x \left (0\right ) &= 4 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.648 |
|
| 8838 |
\begin{align*}
{y^{\prime }}^{2}+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.648 |
|
| 8839 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+3 y&={\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.648 |
|
| 8840 |
\begin{align*}
y^{\prime \prime }-4 y&=2-8 t \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.648 |
|
| 8841 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.648 |
|
| 8842 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+2 y&=\frac {{\mathrm e}^{-x}}{\sin \left (x \right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.648 |
|
| 8843 |
\begin{align*}
t^{2} y^{\prime \prime }+t y^{\prime }+t^{2} y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.649 |
|
| 8844 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=\frac {{\mathrm e}^{3 x}}{2}-\frac {{\mathrm e}^{-3 x}}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.649 |
|
| 8845 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+6 y&=7 \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.649 |
|
| 8846 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+2 y&=10 \,{\mathrm e}^{x}+6 \cos \left (x \right ) {\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.649 |
|
| 8847 |
\begin{align*}
x^{\prime }&=-x+4 y \\
y^{\prime }&=2 x-3 y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 3 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.649 |
|
| 8848 |
\begin{align*}
y^{\prime }&=x y^{\prime \prime }+{y^{\prime \prime }}^{2} \\
y \left (-1\right ) &= 0 \\
y^{\prime }\left (-1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.649 |
|
| 8849 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=\frac {{\mathrm e}^{2 x}}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.649 |
|
| 8850 |
\begin{align*}
y^{\prime \prime }+y&=\cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.649 |
|
| 8851 |
\begin{align*}
y^{\prime \prime }-y^{\prime }+4 y&=0 \\
y \left (-2\right ) &= 1 \\
y^{\prime }\left (-2\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.649 |
|
| 8852 |
\begin{align*}
x_{1}^{\prime }&=x_{1}-x_{2}+x_{3} \\
x_{2}^{\prime }&=x_{1}-x_{2} \\
x_{3}^{\prime }&=x_{1}-x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.649 |
|
| 8853 |
\begin{align*}
y^{\prime \prime }&={\mathrm e}^{y} y^{\prime } \\
y \left (3\right ) &= 0 \\
y^{\prime }\left (3\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.650 |
|
| 8854 |
\begin{align*}
{y^{\prime }}^{2} x^{2}+3 x y y^{\prime }+3 y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.650 |
|
| 8855 |
\(\left [\begin {array}{ccc} 32 & -67 & 47 \\ 7 & -14 & 13 \\ -7 & 15 & -6 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.650 |
|
| 8856 |
\begin{align*}
\left (x^{3}-x \right ) y^{\prime \prime \prime }+\left (8 x^{2}-3\right ) y^{\prime \prime }+14 x y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.650 |
|
| 8857 |
\begin{align*}
x^{\prime }&=-2 x+y \\
y^{\prime }&=-5 x+4 y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.650 |
|
| 8858 |
\begin{align*}
\frac {8 y^{\prime \prime }}{5}+y&=\operatorname {Heaviside}\left (t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.650 |
|
| 8859 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.650 |
|
| 8860 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&=x^{2}-x +3 \\
y \left (0\right ) &= {\frac {4}{3}} \\
y^{\prime }\left (0\right ) &= {\frac {1}{27}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.650 |
|
| 8861 |
\begin{align*}
x y^{\prime \prime }&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.650 |
|
| 8862 |
\begin{align*}
x_{1}^{\prime }&=x_{1} \\
x_{2}^{\prime }&=2 x_{1}+x_{2}-2 x_{3} \\
x_{3}^{\prime }&=3 x_{1}+2 x_{2}+x_{3}+{\mathrm e}^{t} \cos \left (2 t \right ) \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 0 \\
x_{2} \left (0\right ) &= 1 \\
x_{3} \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.651 |
|
| 8863 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+\left (1+\lambda \right ) y&=0 \\
y \left (0\right ) &= 0 \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.651 |
|
| 8864 |
\begin{align*}
L i^{\prime }+R i&=E_{0} \operatorname {Heaviside}\left (t \right ) \\
i \left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
0.651 |
|
| 8865 |
\begin{align*}
\left (x -1\right ) y^{\prime \prime }+y^{\prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.651 |
|
| 8866 |
\begin{align*}
x y^{\prime \prime }+a \left (x y^{\prime }-y\right )^{2}-b&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.651 |
|
| 8867 |
\begin{align*}
x^{\prime \prime }+x^{\prime }+x&=12 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.651 |
|
| 8868 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-6 y&=0 \\
y \left (0\right ) &= 6 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.651 |
|
| 8869 |
\begin{align*}
y^{\prime \prime }&=2 y y^{\prime } \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
0.651 |
|
| 8870 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.651 |
|
| 8871 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }-10 y&=-4 \cos \left (x \right )+7 \sin \left (x \right ) \\
y \left (0\right ) &= 8 \\
y^{\prime }\left (0\right ) &= -5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.651 |
|
| 8872 |
\begin{align*}
y^{\prime \prime }-\sin \left (x \right ) y^{\prime }-y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.651 |
|
| 8873 |
\begin{align*}
\left (x -5\right )^{2} y^{\prime \prime }+\left (x -5\right ) y^{\prime }+4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.651 |
|
| 8874 |
\begin{align*}
y^{\prime \prime }+p_{1} y^{\prime }+p_{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.651 |
|
| 8875 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.651 |
|
| 8876 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{a x} \\
y \left (0\right ) &= y_{0} \\
y^{\prime }\left (0\right ) &= y_{1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.651 |
|
| 8877 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{3 x} \sin \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.651 |
|
| 8878 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=\frac {1}{\left (1+{\mathrm e}^{x}\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.651 |
|
| 8879 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }-y&=6 \sin \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.651 |
|
| 8880 |
\begin{align*}
\left (2 x^{2}+3 x +1\right ) y^{\prime \prime }+\left (6+8 x \right ) y^{\prime }+4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.652 |
|
| 8881 |
\begin{align*}
\left (-t^{2}+1\right ) y^{\prime \prime }-2 t y^{\prime }+\alpha \left (\alpha +1\right ) y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.652 |
|
| 8882 |
\begin{align*}
4 y+y^{\prime \prime }&=x \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.652 |
|
| 8883 |
\begin{align*}
{y^{\prime }}^{2}+x^{3} y^{\prime }-2 x^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.652 |
|
| 8884 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }-3 y&=-2 \\
y \left (0\right ) &= {\frac {2}{3}} \\
y^{\prime }\left (0\right ) &= 8 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.652 |
|
| 8885 |
\begin{align*}
x^{\prime }&=x-2 y \\
y^{\prime }&=3 x-4 y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 3 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.652 |
|
| 8886 |
\begin{align*}
3 y-\left (x +3\right ) y^{\prime }+x y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.652 |
|
| 8887 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+13 y&={\mathrm e}^{2 x} \sin \left (3 x \right ) \\
y \left (0\right ) &= 4 \\
y^{\prime }\left (0\right ) &= -{\frac {25}{6}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.652 |
|
| 8888 |
\begin{align*}
y^{\prime \prime }+y&=\cot \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.652 |
|
| 8889 |
\begin{align*}
x_{1}^{\prime }&=x_{1} \\
x_{2}^{\prime }&=-4 x_{1}+x_{2} \\
x_{3}^{\prime }&=3 x_{1}+6 x_{2}+2 x_{3} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= -1 \\
x_{2} \left (0\right ) &= 2 \\
x_{3} \left (0\right ) &= -30 \\
\end{align*} |
✓ |
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0.653 |
|
| 8890 |
\begin{align*}
\left (x +1\right ) y^{\prime \prime }+\left (2 x^{2}-3 x +1\right ) y^{\prime }-\left (x -4\right ) y&=0 \\
y \left (1\right ) &= -2 \\
y^{\prime }\left (1\right ) &= 3 \\
\end{align*}
Series expansion around \(x=1\). |
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0.653 |
|
| 8891 |
\begin{align*}
x^{2} y^{\prime \prime }-x y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=2\). |
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0.653 |
|
| 8892 |
\begin{align*}
x^{2} \left (-x^{2}+1\right ) y^{\prime \prime }+2 x \left (-x^{2}+1\right ) y^{\prime }-2 y&=0 \\
\end{align*} |
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✗ |
0.653 |
|
| 8893 |
\begin{align*}
y^{\prime \prime }-12 y^{\prime }+36 y&=25 \sin \left (3 x \right ) \\
\end{align*} |
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0.653 |
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| 8894 |
\begin{align*}
x y^{\prime \prime }-3 x y^{\prime }+y \sin \left (x \right )&=0 \\
\end{align*}
Series expansion around \(x=0\). |
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0.653 |
|
| 8895 |
\begin{align*}
\left (x^{3}-1\right ) y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y x&=0 \\
y \left (-1\right ) &= 0 \\
y^{\prime }\left (-1\right ) &= 2 \\
y^{\prime \prime }\left (-1\right ) &= 2 \\
\end{align*} |
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0.653 |
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| 8896 |
\begin{align*}
x^{\prime }&=7 x+4 y-4 z \\
y^{\prime }&=4 x-8 y-z \\
z^{\prime }&=-4 x-y-8 z \\
\end{align*} |
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0.653 |
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| 8897 |
\begin{align*}
x^{2} y^{\prime \prime }-\left (x^{2}+x \right ) y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
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0.653 |
|
| 8898 |
\begin{align*}
y^{\prime }-\left (-1+y\right )^{2}&=0 \\
\end{align*} |
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0.653 |
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| 8899 |
\begin{align*}
4 y+y^{\prime \prime }&=3 x \cos \left (2 x \right ) \\
\end{align*} |
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0.654 |
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| 8900 |
\begin{align*}
x^{\prime \prime }+9 x&=10 \cos \left (2 t \right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
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0.654 |
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