| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 11101 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 11102 |
\begin{align*}
y^{\prime }&=x +\frac {1}{x} \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 11103 |
\begin{align*}
y^{\prime \prime }-16 y&=\delta \left (t -10\right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 11104 |
\begin{align*}
y^{\prime \prime }+4 y&=\tan \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 11105 |
\begin{align*}
x^{\prime }&=3 x-2 y \\
y^{\prime }&=4 x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 11106 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 11107 |
\begin{align*}
x^{\prime \prime }+2 x^{\prime }+4 x&={\mathrm e}^{t} \cos \left (2 t \right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 11108 |
\begin{align*}
x^{2} \left (-x y^{\prime }+y\right )&=y {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.862 |
|
| 11109 |
\begin{align*}
6 x^{2} y^{\prime \prime }+\left (x^{3}+11 x \right ) y^{\prime }+\left (-2 x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 11110 |
\begin{align*}
y^{\prime \prime }+y&=2 \sin \left (2 x \right ) \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 11111 |
\begin{align*}
x^{2} \left (2 x^{2}+1\right ) y^{\prime \prime }+x \left (7 x^{2}+3\right ) y^{\prime }+\left (-3 x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.863 |
|
| 11112 |
\begin{align*}
4 x^{2} \left (x +1\right ) y^{\prime \prime }-5 x y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.863 |
|
| 11113 |
\begin{align*}
y^{\prime }&=3 \cos \left (y\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.863 |
|
| 11114 |
\begin{align*}
x^{\prime }-y&=0 \\
-x+y^{\prime }&={\mathrm e}^{t}+{\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.863 |
|
| 11115 |
\begin{align*}
2 y y^{\prime \prime }&=-1-2 x y^{2}+a y^{3}+{y^{\prime }}^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.863 |
|
| 11116 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=\sin \left (x \right ) \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.863 |
|
| 11117 |
\begin{align*}
y^{\prime }+\left (x +2\right ) y^{\prime \prime }+\left (x +2\right )^{2} y^{\prime \prime \prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.863 |
|
| 11118 |
\begin{align*}
y y^{\prime \prime }&={y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.863 |
|
| 11119 |
\begin{align*}
x^{\prime }&=3 x+y-z \\
y^{\prime }&=x+3 y-z \\
z^{\prime }&=3 x+3 y-z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.863 |
|
| 11120 |
\begin{align*}
2 x^{2} \left (x^{2}+2\right ) y^{\prime \prime }+x \left (7 x^{2}+4\right ) y^{\prime }-\left (-3 x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.864 |
|
| 11121 |
\begin{align*}
x^{\prime }&=2 y+z \\
y^{\prime }&=-2 x+h \\
z^{\prime }&=2 h \\
h^{\prime }&=-2 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.864 |
|
| 11122 |
\begin{align*}
2 x^{\prime \prime }+3 x^{\prime }+3 x&=0 \\
x \left (0\right ) &= 1 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.864 |
|
| 11123 |
\begin{align*}
x^{\prime }&=-\frac {4 x}{5}+2 y \\
y^{\prime }&=-x+\frac {6 y}{5} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.864 |
|
| 11124 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+x y^{\prime }+a x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.864 |
|
| 11125 |
\begin{align*}
t x^{\prime \prime }&=x t +1 \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Series expansion around \(t=0\). |
✗ |
✗ |
✗ |
✗ |
0.864 |
|
| 11126 |
\begin{align*}
x y^{\prime \prime }+\left (5+3 x \right ) y^{\prime }+3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.865 |
|
| 11127 |
\begin{align*}
9 x^{2} y^{\prime \prime }+9 x y^{\prime }-\left (1+3 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.865 |
|
| 11128 |
\begin{align*}
x \left (x +1\right ) y^{\prime \prime }+\left (1-x \right ) y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.865 |
|
| 11129 |
\begin{align*}
y^{\prime \prime \prime \prime }+y&=g \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.865 |
|
| 11130 |
\begin{align*}
y \,{\mathrm e}^{x}+4 \,{\mathrm e}^{x} y^{\prime }+6 \,{\mathrm e}^{x} y^{\prime \prime }+4 \left ({\mathrm e}^{x}+2\right ) y^{\prime \prime \prime }+\left ({\mathrm e}^{x}+2 x \right ) y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.865 |
|
| 11131 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{9}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.865 |
|
| 11132 |
\begin{align*}
x^{\prime }&=z \\
y^{\prime }&=-z \\
z^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.865 |
|
| 11133 |
\begin{align*}
2 x^{2} \left (x^{2}+x +1\right ) y^{\prime \prime }+x \left (11 x^{2}+11 x +9\right ) y^{\prime }+\left (7 x^{2}+10 x +6\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.865 |
|
| 11134 |
\begin{align*}
x y^{\prime \prime }+\left (-1+y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.865 |
|
| 11135 |
\begin{align*}
y^{\prime }&=y^{2}-4 y+2 \\
y \left (0\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
0.865 |
|
| 11136 |
\begin{align*}
x^{2} y^{\prime \prime }+\frac {x y^{\prime }}{\left (-x^{2}+1\right )^{2}}+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.866 |
|
| 11137 |
\begin{align*}
\left (a -b \right ) y^{2} {y^{\prime }}^{2}-2 b x y y^{\prime }-a b -b \,x^{2}+a y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.866 |
|
| 11138 |
\begin{align*}
x y^{\prime \prime }+a y^{\prime }+b \,x^{5-2 a} {\mathrm e}^{y}&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.866 |
|
| 11139 |
\begin{align*}
y^{\prime \prime }+x y^{\prime }-2 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.866 |
|
| 11140 |
\begin{align*}
y^{\prime \prime }+\frac {2 y^{\prime }}{x +2}+y&=0 \\
\end{align*}
Series expansion around \(x=-2\). |
✓ |
✓ |
✓ |
✓ |
0.866 |
|
| 11141 |
\begin{align*}
y^{\prime \prime }+9 y&=\sec \left (3 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.866 |
|
| 11142 |
\begin{align*}
x^{2} y^{\prime \prime }-x^{2} y^{\prime }+\left (x^{2}-2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.866 |
|
| 11143 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&=2 x -40 \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.866 |
|
| 11144 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+9 y&=\frac {{\mathrm e}^{-3 x}}{x^{3}} \\
y \left (1\right ) &= 4 \,{\mathrm e}^{-3} \\
y^{\prime }\left (1\right ) &= -2 \,{\mathrm e}^{-3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.866 |
|
| 11145 |
\begin{align*}
x^{2} \left (1-4 x \right ) y^{\prime \prime }+3 x \left (1-6 x \right ) y^{\prime }+\left (1-12 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.867 |
|
| 11146 |
\begin{align*}
x_{1}^{\prime }&=-x_{1}+x_{2}+20 \,{\mathrm e}^{3 t} \\
x_{2}^{\prime }&=3 x_{1}+x_{2}+12 \,{\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.867 |
|
| 11147 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (x -3\right ) y^{\prime }+\left (4-x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.867 |
|
| 11148 |
\begin{align*}
5 y+4 y^{\prime }+y^{\prime \prime }&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.867 |
|
| 11149 |
\begin{align*}
y^{\prime \prime }+2 x^{2} y^{\prime }+\left (x^{4}+2 x -1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.867 |
|
| 11150 |
\begin{align*}
y^{\prime \prime }+16 y&=\delta \left (t -2\right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.867 |
|
| 11151 |
\begin{align*}
t^{2} x^{\prime \prime }-3 x^{\prime } t +\left (4-t \right ) x&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✗ |
0.867 |
|
| 11152 |
\begin{align*}
y^{\prime \prime }+y x&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.867 |
|
| 11153 |
\begin{align*}
y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y&=t^{2} \sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.868 |
|
| 11154 |
\begin{align*}
x_{1}^{\prime }&=x_{1}-5 x_{2} \\
x_{2}^{\prime }&=x_{1}-3 x_{2} \\
x_{3}^{\prime }&=x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.868 |
|
| 11155 |
\begin{align*}
\left (1+{y^{\prime }}^{2}\right ) x&=\left (x +y\right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.868 |
|
| 11156 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.868 |
|
| 11157 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (x^{2}-2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.868 |
|
| 11158 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+x y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.868 |
|
| 11159 |
\begin{align*}
2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y&=x^{2}+\cos \left (x \right ) \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.868 |
|
| 11160 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.868 |
|
| 11161 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+5 y&=x^{3} {\mathrm e}^{-x} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.868 |
|
| 11162 |
\begin{align*}
y_{1}^{\prime }&=4 y_{1}-4 y_{2} \\
y_{2}^{\prime }&=5 y_{1}-4 y_{2} \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 1 \\
y_{2} \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.868 |
|
| 11163 |
\begin{align*}
x_{1}^{\prime }&=\frac {4 x_{1}}{3}+\frac {4 x_{2}}{3}-\frac {11 x_{3}}{3} \\
x_{2}^{\prime }&=-\frac {16 x_{1}}{3}-\frac {x_{2}}{3}+\frac {14 x_{3}}{3} \\
x_{3}^{\prime }&=3 x_{1}-2 x_{2}-2 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.868 |
|
| 11164 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+x^{2} y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.868 |
|
| 11165 |
\begin{align*}
x^{2} y^{\prime \prime }+\frac {7 x y^{\prime }}{2}-\frac {3 y}{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.868 |
|
| 11166 |
\begin{align*}
{y^{\prime }}^{3}+\left (3 x -6\right ) y^{\prime }&=3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.868 |
|
| 11167 |
\begin{align*}
x^{2} y^{\prime \prime }+x^{2} y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.869 |
|
| 11168 |
\begin{align*}
y^{\prime \prime }+9 y&=\tan \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.869 |
|
| 11169 |
\begin{align*}
y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+11 y^{\prime \prime }-14 y^{\prime }+10 y&=-{\mathrm e}^{x} \left (\sin \left (x \right )+2 \cos \left (2 x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.869 |
|
| 11170 |
\begin{align*}
x^{2} y^{\prime \prime }+3 x y^{\prime }+\left (1-x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.869 |
|
| 11171 |
\begin{align*}
4 x^{2} y^{\prime \prime }+\left (1-4 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.869 |
|
| 11172 |
\begin{align*}
y^{\prime \prime }&=a +b x +c y^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.869 |
|
| 11173 |
\begin{align*}
2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.869 |
|
| 11174 |
\begin{align*}
y^{\prime \prime }+\left (x +1\right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.869 |
|
| 11175 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.869 |
|
| 11176 |
\begin{align*}
y \left (1+{y^{\prime }}^{2}\right )&=2 \alpha \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.869 |
|
| 11177 |
\begin{align*}
4 x^{2} y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}-9\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.869 |
|
| 11178 |
\begin{align*}
2 x^{2} y^{\prime \prime }+x \left (5+x \right ) y^{\prime }-\left (2-3 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.870 |
|
| 11179 |
\begin{align*}
y_{1}^{\prime }&=-2 y_{1}+2 y_{2}-6 y_{3} \\
y_{2}^{\prime }&=2 y_{1}+6 y_{2}+2 y_{3} \\
y_{3}^{\prime }&=-2 y_{1}-2 y_{2}+2 y_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.870 |
|
| 11180 |
\begin{align*}
y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.870 |
|
| 11181 |
\begin{align*}
b y+a y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.870 |
|
| 11182 |
\begin{align*}
x^{\prime }&=\pi ^{2} x+\frac {187 y}{5} \\
y^{\prime }&=\sqrt {555}\, x+\frac {400617 y}{5000} \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.870 |
|
| 11183 |
\begin{align*}
\left (x^{2}-25\right )^{2} y^{\prime \prime }-\left (5+x \right ) y^{\prime }+10 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.870 |
|
| 11184 |
\begin{align*}
y^{\prime \prime }-4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.870 |
|
| 11185 |
\begin{align*}
2 x^{2} y^{\prime \prime }+\left (-x^{2}+x \right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.870 |
|
| 11186 |
\begin{align*}
y^{\prime \prime }+y&=\csc \left (x \right )^{3} \cot \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.870 |
|
| 11187 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.870 |
|
| 11188 |
\begin{align*}
y^{\prime \prime \prime }-2 y^{\prime \prime }+4 y^{\prime }-8 y&={\mathrm e}^{2 x} \sin \left (2 x \right )+2 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.870 |
|
| 11189 |
\begin{align*}
y^{\prime \prime }+x^{2} y^{\prime }+2 y x&=10 x^{3}-2 x +5 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.871 |
|
| 11190 |
\begin{align*}
x^{\prime }&=3 x-2 y \\
y^{\prime }&=4 x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.871 |
|
| 11191 |
\begin{align*}
x_{1}^{\prime }&=-2 x_{2}-x_{3} \\
x_{2}^{\prime }&=x_{1}-x_{2}+x_{3} \\
x_{3}^{\prime }&=x_{1}-2 x_{2}-2 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.871 |
|
| 11192 |
\begin{align*}
y_{1}^{\prime }&=-y_{1}-4 y_{2}+4 \\
y_{2}^{\prime }&=y_{1}-y_{2}+1 \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 2 \\
y_{2} \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.871 |
|
| 11193 |
\begin{align*}
2 x y^{\prime \prime }+y^{\prime }-2 y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.872 |
|
| 11194 |
\begin{align*}
x^{2} y^{\prime \prime }-3 x y^{\prime }+4 \left (x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.872 |
|
| 11195 |
\begin{align*}
y^{\prime \prime }+\sin \left (x \right ) y^{\prime }+\cos \left (x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.872 |
|
| 11196 |
\begin{align*}
6 n y^{\prime }-2 \left (n +1\right ) x y^{\prime \prime }+x^{2} y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.872 |
|
| 11197 |
\begin{align*}
2 x y^{\prime \prime }+5 y^{\prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.872 |
|
| 11198 |
\begin{align*}
x y^{\prime \prime }+2 y^{\prime }+y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.872 |
|
| 11199 |
\begin{align*}
4 x^{2} y^{\prime \prime }+4 x^{2} \ln \left (x \right ) y^{\prime }+\left (x^{2} \ln \left (x \right )^{2}+2 x -8\right ) y-4 x^{2} \sqrt {{\mathrm e}^{x} x^{-x}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.872 |
|
| 11200 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.872 |
|