| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 6101 |
\begin{align*}
y^{\prime \prime }&={y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.470 |
|
| 6102 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-y&=0 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.470 |
|
| 6103 |
\begin{align*}
y^{\prime \prime }+5 y^{\prime }-6 y&=x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.470 |
|
| 6104 |
\begin{align*}
y^{\prime \prime }+x^{2} y^{\prime }+2 y x&=x^{3}-x +3 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.470 |
|
| 6105 |
\begin{align*}
y^{\prime \prime }+a^{2} y&=1 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.470 |
|
| 6106 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.470 |
|
| 6107 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=x \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.470 |
|
| 6108 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-5 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.470 |
|
| 6109 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+10 y&=20 x^{2}+2 x -8 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.470 |
|
| 6110 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+2 y&={\mathrm e}^{x} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.471 |
|
| 6111 |
\begin{align*}
9 \sqrt {x}\, y^{{4}/{3}}-12 x^{{1}/{5}} y^{{3}/{2}}+\left (8 x^{{3}/{2}} y^{{1}/{3}}-15 x^{{6}/{5}} \sqrt {y}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
0.471 |
|
| 6112 |
\begin{align*}
y^{\prime \prime \prime \prime }-y&=g \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.471 |
|
| 6113 |
\begin{align*}
x_{1}^{\prime }&=-5 x_{1}+x_{2} \\
x_{2}^{\prime }&=x_{1}-5 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.471 |
|
| 6114 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&={\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.471 |
|
| 6115 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }-2 y&=\sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.471 |
|
| 6116 |
\begin{align*}
\left (x -2\right ) y^{\prime \prime }+3 y^{\prime }+\frac {4 y}{x^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.471 |
|
| 6117 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-8 y&=9 x \,{\mathrm e}^{x}+10 \,{\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.471 |
|
| 6118 |
\begin{align*}
y^{\prime \prime }-2 x y^{\prime }+3 y&=x^{2} \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.471 |
|
| 6119 |
\begin{align*}
6 y-5 y^{\prime }+y^{\prime \prime }&=100 \sin \left (4 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.471 |
|
| 6120 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+12 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 3 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.471 |
|
| 6121 |
\begin{align*}
y^{\prime \prime }-2 x y^{\prime }+8 y&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.471 |
|
| 6122 |
\begin{align*}
y^{\prime \prime }+\left (x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.471 |
|
| 6123 |
\begin{align*}
{y^{\prime }}^{2}-\left (x^{2} y+3\right ) y^{\prime }+3 x^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.471 |
|
| 6124 |
\begin{align*}
x y^{\prime }&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.471 |
|
| 6125 |
\begin{align*}
t y^{\prime }+y&=t \\
y \left (1\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.471 |
|
| 6126 |
\begin{align*}
x y^{\prime }+y&=\cos \left (x \right )+\sin \left (x \right ) \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.471 |
|
| 6127 |
\begin{align*}
y^{\prime \prime }+a y^{2}+b x +c&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.471 |
|
| 6128 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+20 y&=-3 \sin \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.471 |
|
| 6129 |
\begin{align*}
y^{\prime \prime }-y^{\prime }+\left (\frac {1}{4}+4 \pi ^{2}\right ) y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -{\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.471 |
|
| 6130 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=2 \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.471 |
|
| 6131 |
\begin{align*}
x^{\prime }+y^{\prime }+2 x-y&=-\sin \left (t \right ) \\
x^{\prime }-3 x+y^{\prime }+2 y&=4 \cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.471 |
|
| 6132 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.471 |
|
| 6133 |
\begin{align*}
x^{2} y^{\prime \prime }+{y^{\prime }}^{2}-2 x y^{\prime }&=0 \\
y \left (2\right ) &= 5 \\
y^{\prime }\left (2\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.471 |
|
| 6134 |
\begin{align*}
y^{\prime }&=-\sin \left (t \right ) \\
y \left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.471 |
|
| 6135 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+3 y&=9 \,{\mathrm e}^{-3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.471 |
|
| 6136 |
\begin{align*}
y^{\prime }+\left (-x^{2}+1\right ) y&=x \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.471 |
|
| 6137 |
\begin{align*}
y_{1}^{\prime }&=-y_{1}-4 y_{2} \\
y_{2}^{\prime }&=-y_{1}-y_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.472 |
|
| 6138 |
\begin{align*}
x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-x y^{\prime }+y&=9 x^{2} \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.472 |
|
| 6139 |
\begin{align*}
y^{\prime }+2 \left (x -1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.472 |
|
| 6140 |
\begin{align*}
x^{\prime }&=-x+3 y \\
y^{\prime }&=-3 x+5 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.472 |
|
| 6141 |
\begin{align*}
y^{\prime \prime }+2 x y^{\prime }+\left (x^{2}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.472 |
|
| 6142 |
\begin{align*}
4 x^{2} y^{\prime \prime }+2 x \left (-x^{2}+4\right ) y^{\prime }+\left (7 x^{2}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.472 |
|
| 6143 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=2 \sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.472 |
|
| 6144 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime }&=1 \\
y \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.472 |
|
| 6145 |
\begin{align*}
x^{2} y^{\prime \prime }+2 y^{\prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
0.472 |
|
| 6146 |
\begin{align*}
N_{1}^{\prime }&=4 N_{1}-6 N_{2} \\
N_{2}^{\prime }&=8 N_{1}-10 N_{2} \\
\end{align*}
With initial conditions \begin{align*}
N_{1} \left (0\right ) &= 100000 \\
N_{2} \left (0\right ) &= 1000 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.472 |
|
| 6147 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+3 y&={\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.472 |
|
| 6148 |
\begin{align*}
x^{\prime }&=3 x+8 y \\
y^{\prime }&=-x-3 y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 6 \\
y \left (0\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.472 |
|
| 6149 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=2 x \,{\mathrm e}^{x}+{\mathrm e}^{x} \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.472 |
|
| 6150 |
\begin{align*}
x y^{\prime \prime }+3 y^{\prime }+y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.473 |
|
| 6151 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+2 y&={\mathrm e}^{x} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.473 |
|
| 6152 |
\begin{align*}
\left (x +1\right )^{2} y^{\prime \prime }-2 \left (x +1\right ) y^{\prime }-\left (x^{2}+2 x -1\right ) y&=\left (x +1\right )^{3} {\mathrm e}^{x} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.473 |
|
| 6153 |
\begin{align*}
2 y^{\prime \prime }+y^{\prime }-10 y&=0 \\
y \left (1\right ) &= 5 \\
y^{\prime }\left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.473 |
|
| 6154 |
\begin{align*}
\left (t^{2}+2\right ) y^{\prime \prime }-t y^{\prime }-3 y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.473 |
|
| 6155 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y t&=0 \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.473 |
|
| 6156 |
\begin{align*}
\left (1-2 x \right ) y^{\prime \prime }+4 x y^{\prime }-4 y&=x^{2}-x \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.473 |
|
| 6157 |
\begin{align*}
y^{\prime \prime }+a \,{\mathrm e}^{x} \sqrt {y}&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.473 |
|
| 6158 |
\begin{align*}
t^{2} x^{\prime \prime }-6 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.473 |
|
| 6159 |
\begin{align*}
y^{\prime \prime }-5 y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.473 |
|
| 6160 |
\begin{align*}
3 y^{\prime \prime }-14 y^{\prime }-5 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.473 |
|
| 6161 |
\begin{align*}
x^{\prime }&=-4 x+y \\
y^{\prime }&=2 x-3 y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.473 |
|
| 6162 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+20 y&={\mathrm e}^{-t} \cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.473 |
|
| 6163 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.473 |
|
| 6164 |
\begin{align*}
y^{\prime \prime }-x y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.473 |
|
| 6165 |
\begin{align*}
y^{\prime \prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.473 |
|
| 6166 |
\begin{align*}
y^{\prime \prime }-13 y^{\prime }+36 y&={\mathrm e}^{4 x} x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.473 |
|
| 6167 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.473 |
|
| 6168 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+9 y&=50 \sin \left (t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.473 |
|
| 6169 |
\begin{align*}
y^{\prime \prime }-3 y&=4 t^{2} \cos \left (t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.473 |
|
| 6170 |
\begin{align*}
y^{\prime }&=\left (x +1\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.473 |
|
| 6171 |
\begin{align*}
4 x^{2} y^{3} y^{\prime \prime }&=x^{2}-y^{4} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.473 |
|
| 6172 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.474 |
|
| 6173 |
\begin{align*}
4 y^{\prime \prime }+4 y^{\prime }+y&=3 x \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.474 |
|
| 6174 |
\begin{align*}
\left (x^{3}+1\right ) y^{\prime \prime }+4 x y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.474 |
|
| 6175 |
\begin{align*}
x_{1}^{\prime }&=6 x_{1}-3 x_{2} \\
x_{2}^{\prime }&=2 x_{1}+x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.474 |
|
| 6176 |
\begin{align*}
\left (4 x^{2}+1\right ) y^{\prime \prime }-8 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.474 |
|
| 6177 |
\begin{align*}
y y^{\prime \prime }-y^{2} y^{\prime }-{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.474 |
|
| 6178 |
\begin{align*}
z^{\prime }-x^{2} z&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.474 |
|
| 6179 |
\begin{align*}
y^{\prime \prime }-x^{2} y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.474 |
|
| 6180 |
\begin{align*}
y^{\prime }+y x&=\cos \left (x \right ) \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.474 |
|
| 6181 |
\begin{align*}
x^{\prime }&=x+3 y \\
y^{\prime }&=5 x+3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.474 |
|
| 6182 |
\begin{align*}
y^{\prime }&=\sin \left (5 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.474 |
|
| 6183 |
\begin{align*}
y^{\prime \prime }+x y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.474 |
|
| 6184 |
\begin{align*}
t y^{\prime }+y&=t \\
y \left (1\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.474 |
|
| 6185 |
\begin{align*}
x^{\prime }&=a y \\
y^{\prime }&=-a x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.474 |
|
| 6186 |
\begin{align*}
6 y+18 x y^{\prime }+9 x^{2} y^{\prime \prime }+\left (x^{3}+1\right ) y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.474 |
|
| 6187 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }-10 y&=-3 \,{\mathrm e}^{-2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.474 |
|
| 6188 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-12 y&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 7 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.474 |
|
| 6189 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+3 y&=x^{3} {\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.474 |
|
| 6190 |
\begin{align*}
x^{4} y^{\prime \prime \prime \prime }+x^{3} y^{\prime \prime \prime }-20 x^{2} y^{\prime \prime }+20 x y^{\prime }&=17 x^{6} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.474 |
|
| 6191 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+3 y&=2 \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.474 |
|
| 6192 |
\begin{align*}
y^{\prime \prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.474 |
|
| 6193 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&=0 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.474 |
|
| 6194 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+20 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.474 |
|
| 6195 |
\begin{align*}
y^{\prime \prime }-y&={\mathrm e}^{2 x} \\
\end{align*} |
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✓ |
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0.474 |
|
| 6196 |
\begin{align*}
x_{1}^{\prime }&=-50 x_{1}+20 x_{2} \\
x_{2}^{\prime }&=100 x_{1}-60 x_{2} \\
\end{align*} |
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✓ |
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✓ |
0.475 |
|
| 6197 |
\begin{align*}
y^{\prime }&=\frac {10}{x^{2}+1} \\
y \left (0\right ) &= 0 \\
\end{align*} |
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✓ |
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0.475 |
|
| 6198 |
\begin{align*}
3 x^{3} y^{\prime \prime \prime }+4 x^{2} y^{\prime \prime }-10 x y^{\prime }+10 y&=\frac {4}{x^{2}} \\
\end{align*} |
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0.475 |
|
| 6199 |
\begin{align*}
x_{1}^{\prime }&=-2 x_{1}-7 x_{2} \\
x_{2}^{\prime }&=-x_{1}+4 x_{2} \\
\end{align*} |
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0.475 |
|
| 6200 |
\begin{align*}
y^{\prime \prime }-x y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.475 |
|