| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 11101 |
\begin{align*}
\frac {{y^{\prime \prime }}^{2}}{{y^{\prime }}^{2}}+\frac {y y^{\prime \prime }}{y^{\prime }}-y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.704 |
|
| 11102 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{2 x}+\frac {y}{4 x}&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.704 |
|
| 11103 |
\begin{align*}
y^{\prime \prime }+3 y&=x^{2}+1 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.704 |
|
| 11104 |
\begin{align*}
y^{\prime \prime }-4 y&=x \,{\mathrm e}^{2 x} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.704 |
|
| 11105 |
\begin{align*}
\left (x^{2}+x \right ) y^{\prime \prime }+\left (x -2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.704 |
|
| 11106 |
\begin{align*}
x_{1}^{\prime }&=x_{2}+f_{1} \left (t \right ) \\
x_{2}^{\prime }&=-x_{1}+f_{2} \left (t \right ) \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 0 \\
x_{2} \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.705 |
|
| 11107 |
\begin{align*}
\frac {y^{\prime } y}{1+\frac {\sqrt {1+{y^{\prime }}^{2}}}{2}}&=-x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.705 |
|
| 11108 |
\begin{align*}
y^{\prime \prime }+x^{6} y^{\prime }+7 y x^{5}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.705 |
|
| 11109 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+9 y&=27 \,{\mathrm e}^{-6 x} \\
y \left (0\right ) &= -2 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.705 |
|
| 11110 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+9 y&=10 \,{\mathrm e}^{-3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.705 |
|
| 11111 |
\begin{align*}
x^{\prime }&=-\frac {x}{4}-\frac {3 y}{4}+8 \\
y^{\prime }&=\frac {x}{2}+y-\frac {23}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.705 |
|
| 11112 |
\begin{align*}
y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.705 |
|
| 11113 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=1+2 x +3 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.705 |
|
| 11114 |
\begin{align*}
y^{\prime \prime }+y&=\csc \left (x \right ) \sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.706 |
|
| 11115 |
\begin{align*}
x^{\prime }&=5 x+2 y+5 t \\
y^{\prime }&=3 x+4 y+17 t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.706 |
|
| 11116 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+13 y&=-3 \,{\mathrm e}^{-2 t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.706 |
|
| 11117 |
\begin{align*}
y^{\prime \prime }+2 z y^{\prime }+y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.706 |
|
| 11118 |
\begin{align*}
y^{\prime \prime }-y^{\prime } x +y&=3 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.706 |
|
| 11119 |
\begin{align*}
a^{2} y-2 a y^{\prime }+y^{\prime \prime }&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| 11120 |
\begin{align*}
a^{2} x^{-1+a} y+\left (-2 a +1\right ) x^{a} y^{\prime }+x^{1+a} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.707 |
|
| 11121 |
\begin{align*}
2 y x +2 x^{3} y^{\prime \prime }+x^{4} y^{\prime \prime \prime }&=10 x^{2}+10 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| 11122 |
\begin{align*}
\left (-x +3\right ) y-x \left (4-x \right ) y^{\prime }+2 \left (-x +2\right ) x^{2} y^{\prime \prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.707 |
|
| 11123 |
\begin{align*}
s^{\prime }&=k s \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| 11124 |
\begin{align*}
y^{\prime }-y^{2}-3 y+4&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| 11125 |
\begin{align*}
y^{\prime \prime } x +\sin \left (x \right ) y^{\prime }+\cos \left (x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
0.707 |
|
| 11126 |
\begin{align*}
5 x^{\prime }-3 y^{\prime }&=x+y \\
3 x^{\prime }-y^{\prime }&=t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| 11127 |
\begin{align*}
x^{\prime }&=-x-2 y \\
y^{\prime }&=4 x-5 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| 11128 |
\begin{align*}
x^{2} y^{\prime \prime \prime \prime }+a^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.707 |
|
| 11129 |
\begin{align*}
x^{\prime }-7 x+y&=0 \\
y^{\prime }-2 x-5 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| 11130 |
\begin{align*}
{\mathrm e}^{x} \left (y^{\prime \prime } x -y^{\prime }\right )&=x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| 11131 |
\begin{align*}
i^{\prime \prime }+9 i&=12 \cos \left (3 t \right ) \\
i \left (0\right ) &= 4 \\
i^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| 11132 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=\frac {{\mathrm e}^{2 x}}{x^{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| 11133 |
\begin{align*}
y^{\prime \prime }-2 \left (2+x \right ) y^{\prime }+4 y&=0 \\
y \left (-2\right ) &= 1 \\
y^{\prime }\left (-2\right ) &= 0 \\
\end{align*}
Series expansion around \(x=-2\). |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| 11134 |
\begin{align*}
x^{\prime }&=-2 x-3 y \\
y^{\prime }&=-3 x+2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| 11135 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=x +{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| 11136 |
\begin{align*}
y^{\prime \prime }-y^{\prime }&=42 \,{\mathrm e}^{4 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| 11137 |
\begin{align*}
y^{\prime \prime }+5 y^{\prime }+4 y&=F \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.708 |
|
| 11138 |
\begin{align*}
x^{\prime \prime }+2 x&=\cos \left (\sqrt {2}\, t \right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.708 |
|
| 11139 |
\begin{align*}
y^{\prime \prime }-10 y^{\prime }+25 y&=3 x^{2} {\mathrm e}^{5 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.708 |
|
| 11140 |
\begin{align*}
y^{\prime \prime } x +2 y^{\prime }&=y x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.708 |
|
| 11141 |
\begin{align*}
4 y+y^{\prime \prime }&=x -4 \\
y \left (0\right ) &= {\frac {1}{2}} \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.708 |
|
| 11142 |
\begin{align*}
x^{2} y^{\prime \prime }-y^{\prime } x -3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.708 |
|
| 11143 |
\begin{align*}
x^{2} y^{\prime \prime }+2 y^{\prime } x -3 y x&=0 \\
\end{align*}
Series expansion around \(x=2\). |
✓ |
✓ |
✓ |
✓ |
0.709 |
|
| 11144 |
\begin{align*}
y^{\prime \prime }-9 y&=F \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.709 |
|
| 11145 |
\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*} |
✓ |
✓ |
✓ |
✗ |
0.709 |
|
| 11146 |
\begin{align*}
4 y+y^{\prime \prime }&=\sin \left (2 x \right ) x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.709 |
|
| 11147 |
\begin{align*}
x_{1}^{\prime }&=39 x_{1}+8 x_{2}-16 x_{3} \\
x_{2}^{\prime }&=-36 x_{1}-5 x_{2}+16 x_{3} \\
x_{3}^{\prime }&=72 x_{1}+16 x_{2}-29 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 11148 |
\begin{align*}
x^{2} y^{\prime \prime }-2 x \left (x +1\right ) y^{\prime }+\left (x^{2}+2 x +2\right ) y&={\mathrm e}^{x} x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.710 |
|
| 11149 |
\begin{align*}
t y^{\prime \prime }+\left (1-t \right ) y^{\prime }+\lambda y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 11150 |
\begin{align*}
x^{\prime }-4 x+3 y&=\sin \left (t \right ) \\
-2 x+y^{\prime }+y&=-2 \cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 11151 |
\begin{align*}
2 \left (1+3 x \right ) y+2 x \left (3 x +2\right ) y^{\prime }+x^{2} \left (x +1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.710 |
|
| 11152 |
\begin{align*}
x {y^{\prime }}^{2}+y^{\prime \prime } x&=y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 11153 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-8 y&=9 x \,{\mathrm e}^{x}+10 \,{\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 11154 |
\begin{align*}
x^{\prime \prime }+42 x^{\prime }+x&=0 \\
x \left (0\right ) &= 1 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 11155 |
\begin{align*}
y^{\prime \prime }+16 y&=16 \cos \left (4 x \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 11156 |
\begin{align*}
y^{\prime \prime }+y&=\frac {1}{1+\sin \left (x \right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 11157 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=x \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 11158 |
\begin{align*}
\sin \left (x \right )+2 \cos \left (x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 11159 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+2 y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 11160 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }-10 y&=-6 \,{\mathrm e}^{4 x} \\
y \left (0\right ) &= 6 \\
y^{\prime }\left (0\right ) &= 8 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 11161 |
\begin{align*}
y^{\prime \prime }-7 y^{\prime }+10 y&={\mathrm e}^{3 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 11162 |
\begin{align*}
y^{\prime \prime }+y&=2 \sin \left (2 x \right ) \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 11163 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +x^{2} y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 11164 |
\begin{align*}
y^{\prime \prime }-{y^{\prime }}^{2}-y {y^{\prime }}^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.710 |
|
| 11165 |
\begin{align*}
x_{1}^{\prime }&=-3 x_{1}+4 x_{2} \\
x_{2}^{\prime }&=-2 x_{1}+3 x_{2} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= -1 \\
x_{2} \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 11166 |
\begin{align*}
\left (-x^{2}+4 x -3\right ) y^{\prime \prime }-2 \left (x -2\right ) y^{\prime }+6 y&=0 \\
y \left (2\right ) &= 1 \\
y^{\prime }\left (2\right ) &= 0 \\
\end{align*}
Series expansion around \(x=2\). |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 11167 |
\begin{align*}
y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+4 y^{\prime \prime }&=\cosh \left (2 x \right ) \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
0.710 |
|
| 11168 |
\begin{align*}
y^{\prime }+\left (-x^{2}+1\right ) y&=x \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 11169 |
\begin{align*}
x_{1}^{\prime }&=-8 x_{1}-11 x_{2}-2 x_{3} \\
x_{2}^{\prime }&=6 x_{1}+9 x_{2}+2 x_{3} \\
x_{3}^{\prime }&=-6 x_{1}-6 x_{2}+x_{3} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 5 \\
x_{2} \left (0\right ) &= -7 \\
x_{3} \left (0\right ) &= 11 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.711 |
|
| 11170 |
\begin{align*}
x^{3} y^{\prime \prime }&=a \left (-y+y^{\prime } x \right )^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.711 |
|
| 11171 |
\begin{align*}
y^{\prime }+5 y&=2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.711 |
|
| 11172 |
\begin{align*}
y^{\prime }&=a y^{2}+b x +c \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.711 |
|
| 11173 |
\begin{align*}
y&=y^{\prime } x +\frac {a}{{y^{\prime }}^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.711 |
|
| 11174 |
\begin{align*}
\left (x^{3} y^{3}+y^{2} x^{2}+y x +1\right ) y+\left (x^{3} y^{3}-y^{2} x^{2}-y x +1\right ) x y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.711 |
|
| 11175 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }-4 y&=t^{2} \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.711 |
|
| 11176 |
\begin{align*}
x^{\prime }&=2 x-y-5 t \\
y^{\prime }&=3 x+6 y-4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.711 |
|
| 11177 |
\begin{align*}
2 x^{2} y^{\prime \prime }+\left (x^{2}-x \right ) y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.711 |
|
| 11178 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-5 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.711 |
|
| 11179 |
\begin{align*}
y_{1}^{\prime }&=-6 y_{1}-4 y_{2}-4 y_{3} \\
y_{2}^{\prime }&=2 y_{1}-y_{2}+y_{3} \\
y_{3}^{\prime }&=2 y_{1}+3 y_{2}+y_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.712 |
|
| 11180 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (x^{2}-\frac {1}{9}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.712 |
|
| 11181 |
\begin{align*}
y^{\prime \prime } x -5 y^{\prime }+y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.712 |
|
| 11182 |
\begin{align*}
y^{\prime \prime }+y^{\prime } x&=\sin \left (x \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.712 |
|
| 11183 |
\begin{align*}
\left (x^{2}+1\right ) {y^{\prime }}^{2}-2 y y^{\prime } x +y^{2}&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.712 |
|
| 11184 |
\begin{align*}
x^{\prime }&=y+\textit {f\_1} \left (t \right ) \\
y^{\prime }&=-x+f_{2} \left (t \right ) \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.713 |
|
| 11185 |
\begin{align*}
y^{\prime \prime } x +y^{\prime }+\left (x -\frac {4}{x}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.713 |
|
| 11186 |
\begin{align*}
y^{\prime \prime } x +y^{\prime }-y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.713 |
|
| 11187 |
\begin{align*}
\left (2 x^{5}+1\right ) y^{\prime \prime }+14 x^{4} y^{\prime }+10 x^{3} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.713 |
|
| 11188 |
\begin{align*}
a y y^{\prime }-2 x {y^{\prime }}^{2}+x y y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.713 |
|
| 11189 |
\begin{align*}
y^{\prime \prime }-12 y^{\prime }+36 y&=3 x \,{\mathrm e}^{6 x}-2 \,{\mathrm e}^{6 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.713 |
|
| 11190 |
\begin{align*}
y^{\prime \prime } x -2 \left (x +1\right ) y^{\prime }+\left (2+x \right ) y&=\left (x -2\right ) {\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.713 |
|
| 11191 |
\begin{align*}
y^{\prime \prime }-10 y^{\prime }+25 y&=x^{2} {\mathrm e}^{5 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.713 |
|
| 11192 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+2 y&=2 \,{\mathrm e}^{x} \left (\cos \left (x \right )+\sin \left (x \right )\right ) \\
y \left (\pi \right ) &= \pi \,{\mathrm e}^{\pi } \\
y^{\prime }\left (\pi \right ) &= {\mathrm e}^{\pi } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.713 |
|
| 11193 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+9 y&=9 \cos \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.713 |
|
| 11194 |
\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*} |
✓ |
✓ |
✓ |
✓ |
0.714 |
|
| 11195 |
\begin{align*}
3 x^{2} \left (x +1\right )^{2} y^{\prime \prime }-x \left (-11 x^{2}-10 x +1\right ) y^{\prime }+\left (5 x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.714 |
|
| 11196 |
\begin{align*}
4 x^{2} \left (2 x +1\right ) y^{\prime \prime }-2 x \left (4-x \right ) y^{\prime }-\left (7+5 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.714 |
|
| 11197 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=8 x^{2} {\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.714 |
|
| 11198 |
\begin{align*}
2 y x +\left (y^{2}-2 x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.714 |
|
| 11199 |
\begin{align*}
y^{\prime \prime }+y&=8 x \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.714 |
|
| 11200 |
\begin{align*}
y^{\prime \prime }-x^{2} y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.714 |
|