| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 12801 |
\begin{align*}
y^{\prime }&=\ln \left (y\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.129 |
|
| 12802 |
\begin{align*}
z^{2} u^{\prime \prime }+\left (3 z +1\right ) u^{\prime }+u&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.130 |
|
| 12803 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.130 |
|
| 12804 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }&=0 \\
y \left (0\right ) &= -2 \\
y^{\prime }\left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.131 |
|
| 12805 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.131 |
|
| 12806 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}+x_{3} \\
x_{2}^{\prime }&=9 x_{1}-x_{2}+2 x_{3} \\
x_{3}^{\prime }&=-9 x_{1}+4 x_{2}-x_{3} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 0 \\
x_{2} \left (0\right ) &= 0 \\
x_{3} \left (0\right ) &= 17 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.132 |
|
| 12807 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+4 x y^{\prime }+2 y&=0 \\
y \left (0\right ) &= -5 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.132 |
|
| 12808 |
\begin{align*}
5 y+2 y^{\prime }+y^{\prime \prime }&=8 \sinh \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.132 |
|
| 12809 |
\begin{align*}
y^{\prime \prime }+2 a x y^{\prime }+a^{2} x^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.132 |
|
| 12810 |
\begin{align*}
\left (y^{2}-4\right ) y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.132 |
|
| 12811 |
\begin{align*}
y^{\prime \prime }-8 y^{\prime }+17 y&={\mathrm e}^{4 t} \sec \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.132 |
|
| 12812 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+5 y&=1+8 \cos \left (x \right )+{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.132 |
|
| 12813 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+2 y&=3 \,{\mathrm e}^{-t}+2 \,{\mathrm e}^{-t} \cos \left (t \right )+4 \,{\mathrm e}^{-t} t^{2} \sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.132 |
|
| 12814 |
\begin{align*}
x_{1}^{\prime }&=-\frac {x_{1}}{2}+x_{2}+\frac {x_{3}}{2} \\
x_{2}^{\prime }&=x_{1}-x_{2}+x_{3}-\sin \left (t \right ) \\
x_{3}^{\prime }&=\frac {x_{1}}{2}+x_{2}-\frac {x_{3}}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.132 |
|
| 12815 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.133 |
|
| 12816 |
\begin{align*}
y^{\prime \prime }&=\frac {x +1}{x -1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.133 |
|
| 12817 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }&=8 x^{2}+2 \,{\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.133 |
|
| 12818 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}-x_{3}+24 t \\
x_{2}^{\prime }&=x_{1}-x_{2} \\
x_{3}^{\prime }&=3 x_{1}-x_{2}-x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.134 |
|
| 12819 |
\begin{align*}
b \,{\mathrm e}^{k x} y+a y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.134 |
|
| 12820 |
\begin{align*}
2 x^{2} y^{\prime \prime }-3 x y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.134 |
|
| 12821 |
\begin{align*}
4 x^{2} y^{\prime \prime }+4 x y^{\prime }-\left (a \,x^{2}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.134 |
|
| 12822 |
\begin{align*}
y^{\prime }&={\mathrm e}^{\frac {2}{y}} \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
1.134 |
|
| 12823 |
\begin{align*}
y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=24 x \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.135 |
|
| 12824 |
\begin{align*}
y^{\prime \prime }-{\mathrm e}^{2 x} y^{\prime }+\cos \left (x \right ) y&=0 \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.135 |
|
| 12825 |
\begin{align*}
x^{6} {y^{\prime }}^{3}-3 x y^{\prime }-3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.135 |
|
| 12826 |
\begin{align*}
y^{\prime \prime }&=\frac {\left (2 x^{2}-1\right ) y^{\prime }}{x^{3}}-\frac {2 y}{x^{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.135 |
|
| 12827 |
\begin{align*}
x \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}}&=a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.135 |
|
| 12828 |
\begin{align*}
x^{2} y^{\prime \prime }+5 x y^{\prime }-21 y&=0 \\
y \left (2\right ) &= 1 \\
y^{\prime }\left (2\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.135 |
|
| 12829 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{x} \left (3 x^{2}+2 x +1\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.136 |
|
| 12830 |
\begin{align*}
x y^{\prime \prime }+\frac {y^{\prime }}{2}+2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.136 |
|
| 12831 |
\begin{align*}
y^{\prime \prime }-y&=0 \\
y \left (1\right ) &= 0 \\
y^{\prime }\left (1\right ) &= {\mathrm e} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.136 |
|
| 12832 |
\begin{align*}
x^{2} \left (x +1\right ) y^{\prime \prime }+x \left (1-10 x \right ) y^{\prime }-\left (9-10 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.137 |
|
| 12833 |
\begin{align*}
5 x^{\prime }-3 y^{\prime }&=x+y \\
3 x^{\prime }-y^{\prime }&=t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.137 |
|
| 12834 |
\begin{align*}
x^{\prime }&=7 x+y-1-6 \,{\mathrm e}^{t} \\
y^{\prime }&=-4 x+3 y+4 \,{\mathrm e}^{t}-3 \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.137 |
|
| 12835 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.137 |
|
| 12836 |
\begin{align*}
x y^{\prime \prime }&=-y^{2}-2 y^{\prime }+{y^{\prime }}^{2} x^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
1.138 |
|
| 12837 |
\begin{align*}
x y^{\prime \prime }-\left (x +2\right ) y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.138 |
|
| 12838 |
\begin{align*}
y^{\prime \prime }-4 x y^{\prime }+\left (4 x^{2}-1\right ) y&=-3 \,{\mathrm e}^{x^{2}} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.138 |
|
| 12839 |
\begin{align*}
x^{\prime }-y&=t \\
x+y^{\prime }&=t^{2} \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 2 \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.138 |
|
| 12840 |
\begin{align*}
y^{\prime \prime }+a^{2} y-2 a y^{\prime }+y b^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.138 |
|
| 12841 |
\begin{align*}
y^{\prime }&=\tan \left (y x \right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
1.139 |
|
| 12842 |
\begin{align*}
y^{\prime \prime \prime }-y^{\prime \prime }+2 y^{\prime }-2 y&={\mathrm e}^{2 x} \left (\left (-x^{2}+5 x +27\right ) \cos \left (x \right )+\left (9 x^{2}+13 x +2\right ) \sin \left (x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.139 |
|
| 12843 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }-4 x y^{\prime }+6 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.139 |
|
| 12844 |
\begin{align*}
2 x y^{\prime \prime }+y^{\prime }-y&=x +1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.139 |
|
| 12845 |
\begin{align*}
9 x^{2} y^{\prime \prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.139 |
|
| 12846 |
\begin{align*}
16 y+8 y^{\prime }+y^{\prime \prime }&=8 \,{\mathrm e}^{-2 x} \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.139 |
|
| 12847 |
\begin{align*}
{y^{\prime }}^{2}+x^{2}&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.139 |
|
| 12848 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&=f \left (t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.139 |
|
| 12849 |
\begin{align*}
y^{\prime }&=y \ln \left (y\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.139 |
|
| 12850 |
\begin{align*}
4 x \left (x -1\right ) \left (x -2\right ) {y^{\prime }}^{2}-\left (3 x^{2}-6 x +2\right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.139 |
|
| 12851 |
\begin{align*}
x^{2} y^{\prime \prime }+2 x y^{\prime }&=\ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.139 |
|
| 12852 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.139 |
|
| 12853 |
\begin{align*}
3 x y^{\prime \prime \prime }+5 y^{\prime \prime }+6 y^{\prime }&=3 \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.139 |
|
| 12854 |
\begin{align*}
x y^{\prime \prime }-\left (x^{2}-x \right ) y^{\prime }+\left (x -1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.140 |
|
| 12855 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (2 x \right ) \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.140 |
|
| 12856 |
\begin{align*}
x_{1}^{\prime }&=6 x_{1}+5 x_{2}-4 \cos \left (3 t \right ) \\
x_{2}^{\prime }&=x_{1}+2 x_{2}+8 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.140 |
|
| 12857 |
\begin{align*}
4 t^{2} y^{\prime \prime }-8 t y^{\prime }+9 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.141 |
|
| 12858 |
\begin{align*}
x^{\prime }&=x+y+z-2 \,{\mathrm e}^{-t} \\
y^{\prime }&=2 x+y-z-2 \,{\mathrm e}^{-t} \\
z^{\prime }&=-3 x+2 y+4 z+3 \,{\mathrm e}^{-t} \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 0 \\
z \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.141 |
|
| 12859 |
\begin{align*}
y^{\prime \prime }+\frac {\left (x -1\right ) y^{\prime }}{x \left (x +1\right )}-\frac {y}{x \left (x +1\right )}&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.141 |
|
| 12860 |
\begin{align*}
y y^{\prime \prime }+{y^{\prime }}^{2}-y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.141 |
|
| 12861 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+8 x_{2}+5 x_{3}+3 x_{4} \\
x_{2}^{\prime }&=2 x_{1}+16 x_{2}+10 x_{3}+6 x_{4} \\
x_{3}^{\prime }&=5 x_{1}-14 x_{2}-11 x_{3}-3 x_{4} \\
x_{4}^{\prime }&=-x_{1}-8 x_{2}-5 x_{3}-3 x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.141 |
|
| 12862 |
\begin{align*}
y^{\prime \prime }+y&=x^{2}+\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.141 |
|
| 12863 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+3 y&=x^{3}+\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.142 |
|
| 12864 |
\begin{align*}
y^{\prime }&=\frac {1}{-3+y} \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.142 |
|
| 12865 |
\begin{align*}
y^{\prime \prime }&=\left (-\frac {3}{16 x^{2}}-\frac {2}{9 \left (x -1\right )^{2}}+\frac {3}{16 \left (x -1\right ) x}\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.142 |
|
| 12866 |
\begin{align*}
y y^{\prime \prime }-{y^{\prime }}^{2}-f \left (x \right ) y y^{\prime }-g \left (x \right ) y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
1.142 |
|
| 12867 |
\begin{align*}
x^{2} y^{\prime \prime }-6 y&=\ln \left (x \right ) \\
y \left (1\right ) &= {\frac {1}{6}} \\
y^{\prime }\left (1\right ) &= -{\frac {1}{6}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.142 |
|
| 12868 |
\begin{align*}
x^{\prime }&=2 x-6 y \\
y^{\prime }&=2 x+y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 2 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.142 |
|
| 12869 |
\begin{align*}
{\mathrm e}^{x} \left (x +1\right )+\left (-x \,{\mathrm e}^{x}+y \,{\mathrm e}^{y}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.143 |
|
| 12870 |
\begin{align*}
x_{1}^{\prime }&=x_{2} \\
x_{2}^{\prime }&=6 x_{1}+9 \,{\mathrm e}^{-t} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 0 \\
x_{2} \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.143 |
|
| 12871 |
\begin{align*}
a \,x^{m} y^{n}+2 y^{\prime }+x y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.144 |
|
| 12872 |
\begin{align*}
-{y^{\prime }}^{2}+{y^{\prime }}^{3}+y y^{\prime \prime }&=0 \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
1.144 |
|
| 12873 |
\begin{align*}
y^{\prime \prime }+4 y&=3 \operatorname {Heaviside}\left (t -2\right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.144 |
|
| 12874 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (\frac {t}{2}\right )+\csc \left (\frac {t}{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.144 |
|
| 12875 |
\begin{align*}
x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y&=x^{3} \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.144 |
|
| 12876 |
\begin{align*}
\left (x^{2}-2 x \right ) y^{\prime \prime }+\left (-x^{2}+2\right ) y^{\prime }+\left (2 x -2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.145 |
|
| 12877 |
\begin{align*}
x^{\prime }&=4 x+5 y+4 \,{\mathrm e}^{t} \cos \left (t \right ) \\
y^{\prime }&=-2 x-2 y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.145 |
|
| 12878 |
\begin{align*}
x^{2} \left (x +1\right ) y^{\prime \prime }+x^{2} y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.145 |
|
| 12879 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}-x_{2}-x_{3}+2 \,{\mathrm e}^{2 t} \\
x_{2}^{\prime }&=3 x_{1}-2 x_{2}-3 x_{3} \\
x_{3}^{\prime }&=-x_{1}+x_{2}+2 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.145 |
|
| 12880 |
\begin{align*}
\left (x -1\right )^{2} y^{\prime \prime }-3 \left (x -1\right ) y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✗ |
1.145 |
|
| 12881 |
\begin{align*}
e y^{\prime \prime }&=\frac {P \left (\frac {L}{2}-x \right )}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.145 |
|
| 12882 |
\begin{align*}
x y^{\prime \prime }-\left (x +4\right ) y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.145 |
|
| 12883 |
\begin{align*}
4 y+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.145 |
|
| 12884 |
\begin{align*}
y&=\left (y^{\prime }-1\right ) {\mathrm e}^{y^{\prime }} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.145 |
|
| 12885 |
\begin{align*}
\frac {2 y}{3}+y^{\prime }&=1-\frac {t}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.146 |
|
| 12886 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+x_{2}+{\mathrm e}^{2 t} \\
x_{2}^{\prime }&=-2 x_{1}+3 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.146 |
|
| 12887 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (-x^{2}+x \right ) y^{\prime }-\left (x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.146 |
|
| 12888 |
\begin{align*}
\left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.146 |
|
| 12889 |
\begin{align*}
x y {y^{\prime }}^{2}+\left (x +y\right ) y^{\prime }+1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.146 |
|
| 12890 |
\begin{align*}
\left (x -2\right )^{2} y^{\prime \prime }-\left (x -2\right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.146 |
|
| 12891 |
\begin{align*}
x^{2} \left (x^{2}+1\right ) y^{\prime \prime }-x \left (-x^{2}+5\right ) y^{\prime }-\left (25 x^{2}+7\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.147 |
|
| 12892 |
\begin{align*}
\sin \left (x \right ) y^{\prime \prime }-2 \cos \left (x \right ) y^{\prime }-y \sin \left (x \right )&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.147 |
|
| 12893 |
\begin{align*}
2 x^{\prime }+4 y^{\prime }+x-y&=3 \,{\mathrm e}^{t} \\
x^{\prime }+y^{\prime }+2 x+2 y&={\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.147 |
|
| 12894 |
\begin{align*}
y^{\prime \prime }+16 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.147 |
|
| 12895 |
\begin{align*}
{y^{\prime }}^{2}+y^{2}&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.147 |
|
| 12896 |
\begin{align*}
4 x^{2} y^{\prime \prime }+4 x^{2} y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.148 |
|
| 12897 |
\begin{align*}
x^{\prime }&=2 x-7 y \\
y^{\prime }&=5 x+10 y+4 z \\
z^{\prime }&=5 y+2 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.148 |
|
| 12898 |
\begin{align*}
x^{\prime }&=2 x-5 y+4 \\
y^{\prime }&=3 x-7 y+5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.148 |
|
| 12899 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+34 y&={\mathrm e}^{3 t} \tan \left (5 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.148 |
|
| 12900 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+4 y&=2 \sinh \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.148 |
|