| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 11001 |
\begin{align*}
x_{1}^{\prime }&=5 x_{1}-6 x_{3} \\
x_{2}^{\prime }&=2 x_{1}-x_{2}-2 x_{3} \\
x_{3}^{\prime }&=4 x_{1}-2 x_{2}-4 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 11002 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+\sqrt {3}\, x_{2}+{\mathrm e}^{t} \\
x_{2}^{\prime }&=\sqrt {3}\, x_{1}-x_{2}+\sqrt {3}\, {\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 11003 |
\begin{align*}
8 x^{2} \left (2 x^{2}+1\right ) y^{\prime \prime }+2 x \left (34 x^{2}+5\right ) y^{\prime }-\left (-30 x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 11004 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}+x_{2}-2 x_{3} \\
x_{2}^{\prime }&=-x_{1}+2 x_{2}+x_{3} \\
x_{3}^{\prime }&=4 x_{1}+x_{2}-3 x_{3} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 1 \\
x_{2} \left (0\right ) &= 4 \\
x_{3} \left (0\right ) &= -7 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 11005 |
\begin{align*}
4 x^{2} y^{\prime \prime }-4 x^{2} y^{\prime }+\left (2 x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 11006 |
\begin{align*}
x \left (x +2\right ) y^{\prime \prime }+2 \left (x +1\right ) y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 11007 |
\begin{align*}
y^{\prime \prime }+y&={\mathrm e}^{-x} \\
y \left (2\right ) &= 0 \\
y^{\prime }\left (2\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 11008 |
\begin{align*}
y^{\prime \prime }&={\mathrm e}^{x} {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 11009 |
\begin{align*}
y^{\prime \prime }-x y^{\prime }-y x -x^{2}-x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.852 |
|
| 11010 |
\begin{align*}
y^{\prime \prime }-x y^{\prime }-y x -x^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.852 |
|
| 11011 |
\begin{align*}
y {y^{\prime }}^{2}+x^{3} y^{\prime }-x^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.852 |
|
| 11012 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=0 \\
y \left (0\right ) &= 27 \\
y^{\prime }\left (0\right ) &= -54 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 11013 |
\begin{align*}
\sin \left (y\right ) y^{\prime \prime }+\cos \left (y\right ) {y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.852 |
|
| 11014 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+9 y&=169 \sin \left (2 x \right ) \\
y \left (0\right ) &= -10 \\
y^{\prime }\left (0\right ) &= 9 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 11015 |
\begin{align*}
x^{\prime }&=x+2 y \\
y^{\prime }&=-5 x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 11016 |
\begin{align*}
s^{\prime \prime }+16 s^{\prime }+64 s&=0 \\
s \left (0\right ) &= 0 \\
s^{\prime }\left (0\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.852 |
|
| 11017 |
\begin{align*}
y&=x y^{\prime }-\frac {1}{y^{\prime }} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.852 |
|
| 11018 |
\begin{align*}
4 y+y^{\prime \prime }&=2 \tan \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.853 |
|
| 11019 |
\begin{align*}
2 y^{\prime \prime }+9 x y^{\prime }-36 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.853 |
|
| 11020 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.853 |
|
| 11021 |
\begin{align*}
x^{\prime }&=-x-2 y \\
y^{\prime }&=2 x-3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.853 |
|
| 11022 |
\begin{align*}
y^{\prime \prime }-\frac {y^{\prime }}{x}+\left (1-\frac {m^{2}}{x^{2}}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.853 |
|
| 11023 |
\begin{align*}
x^{\prime }&=x \\
y^{\prime }&=x-y \\
z^{\prime }&=-2 x+2 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.853 |
|
| 11024 |
\begin{align*}
y^{\prime \prime }+y&=2 \cos \left (x \right )-2 \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.853 |
|
| 11025 |
\begin{align*}
x^{2} y^{\prime \prime }-x^{2} y^{\prime }+\left (x^{2}-2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.854 |
|
| 11026 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+5 y&={\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.854 |
|
| 11027 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=8 x^{2} {\mathrm e}^{2 x} \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.854 |
|
| 11028 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=\cos \left ({\mathrm e}^{x}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.854 |
|
| 11029 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (3 x^{2}+2 x \right ) y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.855 |
|
| 11030 |
\begin{align*}
28 x^{2} \left (-3 x +1\right ) y^{\prime \prime }-7 x \left (5+9 x \right ) y^{\prime }+7 \left (2+9 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.855 |
|
| 11031 |
\begin{align*}
36 x^{2} \left (1-2 x \right ) y^{\prime \prime }+24 x \left (1-9 x \right ) y^{\prime }+\left (1-70 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.855 |
|
| 11032 |
\begin{align*}
x^{2} y^{\prime \prime }&=2 x y^{\prime }+{y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.855 |
|
| 11033 |
\begin{align*}
y^{\prime \prime }-x y^{\prime }-y x -x^{4}-6&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.855 |
|
| 11034 |
\begin{align*}
y_{1}^{\prime }&=-y_{1}+2 y_{2}+5 \\
y_{2}^{\prime }&=-2 y_{1}-y_{2} \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 1 \\
y_{2} \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.855 |
|
| 11035 |
\begin{align*}
4 x y^{\prime \prime }+2 y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.856 |
|
| 11036 |
\begin{align*}
x y^{\prime \prime }+\left (5-x \right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.856 |
|
| 11037 |
\begin{align*}
x \left (1-x \right ) y^{\prime \prime }-3 y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.856 |
|
| 11038 |
\begin{align*}
y^{\prime \prime }+y&=\tan \left (\frac {x}{3}\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.856 |
|
| 11039 |
\begin{align*}
\left (1-{\mathrm e}^{x}\right ) y^{\prime \prime }&={\mathrm e}^{x} y^{\prime } \\
y \left (1\right ) &= 0 \\
y^{\prime }\left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.856 |
|
| 11040 |
\begin{align*}
x^{2} \left (x +4\right ) y^{\prime \prime }+x \left (x -1\right ) y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.856 |
|
| 11041 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+2 y&=5 \cos \left (x \right )+10 \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.856 |
|
| 11042 |
\begin{align*}
3 x^{2} y+8 x y^{2}+\left (x^{3}+8 x^{2} y+12 y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.856 |
|
| 11043 |
\begin{align*}
x^{\prime \prime }-4 x&=\cos \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.856 |
|
| 11044 |
\begin{align*}
y^{\prime }&=x \sin \left (x \right ) \\
y \left (\frac {\pi }{2}\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.856 |
|
| 11045 |
\begin{align*}
y_{1}^{\prime }&=5 y_{1}-2 y_{2} \\
y_{2}^{\prime }&=6 y_{1}-2 y_{2} \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 1 \\
y_{2} \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.856 |
|
| 11046 |
\begin{align*}
y^{\prime }+y-x^{\prime }+x&=t \\
x^{\prime }+y^{\prime }+x-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.856 |
|
| 11047 |
\begin{align*}
y^{\prime \prime }&={\mathrm e}^{2 y} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.856 |
|
| 11048 |
\begin{align*}
y^{\prime \prime }+x y^{\prime }+y&=0 \\
y \left (1\right ) &= -6 \\
y^{\prime }\left (1\right ) &= 3 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.857 |
|
| 11049 |
\begin{align*}
y^{\prime \prime }&=-{\mathrm e}^{-2 y} \\
y \left (3\right ) &= 0 \\
y^{\prime }\left (3\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.857 |
|
| 11050 |
\begin{align*}
\left (x +1\right )^{2} y^{\prime \prime }+\left (x^{2}+x -1\right ) y^{\prime }-\left (x +2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.857 |
|
| 11051 |
\begin{align*}
4 y+y^{\prime \prime }&=2 \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.857 |
|
| 11052 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=3 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.857 |
|
| 11053 |
\begin{align*}
x y^{\prime \prime }+4 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.857 |
|
| 11054 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}+x_{2}-x_{3} \\
x_{2}^{\prime }&=-4 x_{1}-3 x_{2}-x_{3} \\
x_{3}^{\prime }&=4 x_{1}+4 x_{2}+2 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.858 |
|
| 11055 |
\begin{align*}
y^{\prime \prime }-4 y&=100 \,{\mathrm e}^{x} \sin \left (x \right ) x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.858 |
|
| 11056 |
\begin{align*}
x_{1}^{\prime }&=x_{2} \\
x_{2}^{\prime }&=-x_{1} \\
x_{3}^{\prime }&=-x_{4} \\
x_{4}^{\prime }&=x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.858 |
|
| 11057 |
\begin{align*}
x^{\prime }&=2 x-3 y+t \,{\mathrm e}^{-t} \\
y^{\prime }&=2 x-3 y+{\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.858 |
|
| 11058 |
\begin{align*}
y^{\prime \prime }-4 y&=3 \,{\mathrm e}^{2 x}+4 \,{\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.858 |
|
| 11059 |
\begin{align*}
y^{\prime \prime }+3 x y^{\prime }+3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.858 |
|
| 11060 |
\begin{align*}
y^{\prime \prime }+\tan \left (x \right ) y^{\prime }+y \cos \left (x \right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.858 |
|
| 11061 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+2 y&={\mathrm e}^{t} t^{2}+7 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.858 |
|
| 11062 |
\begin{align*}
2 x^{2} y^{\prime \prime }+x y^{\prime }-\left (x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.858 |
|
| 11063 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+5 y&={\mathrm e}^{x} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.858 |
|
| 11064 |
\begin{align*}
y^{\prime }+6 y&=x^{\prime } \\
3 x-x^{\prime }&=2 y^{\prime } \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 2 \\
y \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.858 |
|
| 11065 |
\begin{align*}
-\frac {u^{\prime \prime }}{2}&=x \\
u \left (0\right ) &= 0 \\
u \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.858 |
|
| 11066 |
\begin{align*}
y^{\prime \prime }+2 x y^{\prime }+\left (x^{2}-8\right ) y&=x^{2} {\mathrm e}^{-\frac {x^{2}}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.858 |
|
| 11067 |
\begin{align*}
2 x^{2} y^{\prime \prime }+x \left (2 x +3\right ) y^{\prime }-\left (1-x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.859 |
|
| 11068 |
\begin{align*}
x^{2} \left (9+4 x \right ) y^{\prime \prime }+3 x y^{\prime }+\left (x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.859 |
|
| 11069 |
\begin{align*}
-\left (\left (a -1\right ) a -b \,x^{k}\right ) y+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.859 |
|
| 11070 |
\begin{align*}
x^{\prime }-x+y^{\prime }+2 y&=1+{\mathrm e}^{t} \\
y^{\prime }+2 y+z^{\prime }+z&={\mathrm e}^{t}+2 \\
x^{\prime }-x+z^{\prime }+z&=3+{\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.859 |
|
| 11071 |
\begin{align*}
4 y+y^{\prime \prime }&=\tan \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.859 |
|
| 11072 |
\begin{align*}
\left (-9 x^{4}+x^{2}\right ) y^{\prime \prime }-6 x y^{\prime }+10 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.859 |
|
| 11073 |
\begin{align*}
\left (9 x^{3}+9 x^{2}\right ) y^{\prime \prime }+\left (27 x^{2}+9 x \right ) y^{\prime }+\left (8 x -1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.859 |
|
| 11074 |
\begin{align*}
x^{\prime }&=x-y \\
y^{\prime }&=5 x-3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.859 |
|
| 11075 |
\begin{align*}
y^{\prime \prime }+y&=2 \sin \left (3 x \right ) \\
y \left (0\right ) &= 5 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.859 |
|
| 11076 |
\begin{align*}
x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.859 |
|
| 11077 |
\begin{align*}
y^{\prime \prime \prime }+4 y^{\prime \prime }-6 y^{\prime }-12 y&=\sinh \left (x \right )^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.859 |
|
| 11078 |
\begin{align*}
x y^{\prime \prime }+\left (1-x \right ) y^{\prime }+y p&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.859 |
|
| 11079 |
\begin{align*}
8 x^{2} \left (-x^{2}+1\right ) y^{\prime \prime }+2 x \left (-13 x^{2}+1\right ) y^{\prime }+\left (-9 x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.860 |
|
| 11080 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {4}{9}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.860 |
|
| 11081 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+2 y&=10 \sin \left (4 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.860 |
|
| 11082 |
\begin{align*}
y^{\prime }+y^{\prime \prime \prime }&=x +\sin \left (x \right )+\cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.860 |
|
| 11083 |
\begin{align*}
x^{\prime }-2 x+4 y&=0 \\
3 x+2 y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.860 |
|
| 11084 |
\begin{align*}
x \left (1-x \right ) y^{\prime \prime }+2 y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.860 |
|
| 11085 |
\begin{align*}
x y^{\prime \prime }-x y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.860 |
|
| 11086 |
\begin{align*}
y^{\prime \prime \prime }-y^{\prime \prime }+2 y&={\mathrm e}^{x} \left (\left (20+4 x \right ) \cos \left (x \right )-\left (12+12 x \right ) \sin \left (x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.861 |
|
| 11087 |
\begin{align*}
t y^{\prime \prime }+y^{\prime }-4 y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.861 |
|
| 11088 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&={\mathrm e}^{3 x}+6 \,{\mathrm e}^{x}-3 \,{\mathrm e}^{-2 x}+5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.861 |
|
| 11089 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+\alpha \left (\alpha +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.861 |
|
| 11090 |
\begin{align*}
\left (x^{2}-9\right ) y^{\prime \prime }+3 x y^{\prime }-3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.861 |
|
| 11091 |
\begin{align*}
2 y+y^{\prime }&=6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.861 |
|
| 11092 |
\begin{align*}
y^{\prime \prime }+\sin \left (x \right ) y^{\prime }+\cos \left (x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.861 |
|
| 11093 |
\begin{align*}
y_{1}^{\prime }&=2 y_{1}-64 y_{2} \\
y_{2}^{\prime }&=y_{1}-14 y_{2} \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 0 \\
y_{2} \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.861 |
|
| 11094 |
\begin{align*}
m s^{\prime \prime }&=\frac {g \,t^{2}}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.861 |
|
| 11095 |
\begin{align*}
y^{\prime \prime }&=2 y y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.862 |
|
| 11096 |
\begin{align*}
2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (1-2 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 11097 |
\begin{align*}
2 x^{2} \left (x^{2}+2\right ) y^{\prime \prime }-x \left (-7 x^{2}+12\right ) y^{\prime }+\left (3 x^{2}+7\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 11098 |
\begin{align*}
x^{2} \left (x^{2}+1\right ) y^{\prime \prime }+x \left (11 x^{2}+5\right ) y^{\prime }+24 x^{2} y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 11099 |
\begin{align*}
c y^{\prime }&=a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 11100 |
\begin{align*}
x^{\prime }&=\frac {1}{t \ln \left (t \right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.862 |
|