| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 10101 |
\begin{align*}
y^{\prime \prime }+9 y&=27 x +18 \\
y \left (0\right ) &= 23 \\
y^{\prime }\left (0\right ) &= 21 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 10102 |
\begin{align*}
x^{\prime }&=2 x+y \\
y^{\prime }&=x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 10103 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+6 y&=-8 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 10104 |
\begin{align*}
y^{\prime \prime }+7 y^{\prime }+10 y&=t \,{\mathrm e}^{-t} \\
y \left (0\right ) &= -{\frac {5}{16}} \\
y^{\prime }\left (0\right ) &= {\frac {9}{16}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 10105 |
\begin{align*}
y^{\prime \prime } x +y^{\prime }+y x&=0 \\
y \left (1\right ) &= 2 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 10106 |
\begin{align*}
x^{\prime }&=x+y \\
y^{\prime }&=x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 10107 |
\begin{align*}
y^{\prime \prime }+x^{4} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.524 |
|
| 10108 |
\begin{align*}
4 x^{2} \left (x^{2}+4\right ) y^{\prime \prime }+3 x \left (3 x^{2}+8\right ) y^{\prime }+\left (-9 x^{2}+1\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 10109 |
\begin{align*}
x^{2}+2 y+4 \left (x +y\right ) y^{\prime }+2 x {y^{\prime }}^{2}+x \left (x +2 y\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.524 |
|
| 10110 |
\begin{align*}
a^{2} y+\left (y^{2}+x^{2}\right )^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
0.524 |
|
| 10111 |
\begin{align*}
x^{\prime }-4 y^{\prime }&=0 \\
2 x^{\prime }-3 y^{\prime }&=t +y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 10112 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+8 y&=2 \cos \left (3 t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 10113 |
\begin{align*}
y^{\prime }-{\mathrm e}^{x} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 10114 |
\begin{align*}
y^{\prime \prime }+8 y^{\prime }+16 y&=\frac {{\mathrm e}^{-4 t}}{t^{2}+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.524 |
|
| 10115 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }-18 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 10116 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-5 y&=1 \\
y \left (\infty \right ) &= -{\frac {1}{5}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 10117 |
\begin{align*}
x^{\prime }&=4 x+a y \\
y^{\prime }&=8 x-6 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 10118 | \begin{align*}
y^{\prime \prime }-2 y^{\prime }+y&={\mathrm e}^{t} t +4 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} | ✓ | ✓ | ✓ | ✓ | 0.524 |
|
| 10119 |
\begin{align*}
x^{3} y^{\prime \prime \prime \prime }+8 x^{2} y^{\prime \prime \prime }+8 y^{\prime \prime } x -8 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 10120 |
\begin{align*}
x^{2} y^{\prime \prime }+2 y^{\prime } x -6 y&=0 \\
y \left (\frac {1}{2}\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 10121 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=\frac {{\mathrm e}^{2 x}}{x^{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 10122 |
\begin{align*}
x^{\prime \prime }+2 x^{\prime }+x&=-\frac {{\mathrm e}^{-t}}{\left (t +1\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.524 |
|
| 10123 |
\begin{align*}
y^{\prime }+2 z&=y \\
z^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 10124 |
\begin{align*}
a \,x^{3} y^{\prime \prime \prime }+b \,x^{2} y^{\prime \prime }+c x y^{\prime }+d y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.525 |
|
| 10125 |
\begin{align*}
\left (2 x^{2}-11 x +16\right ) y^{\prime \prime }+\left (x^{2}-6 x +10\right ) y^{\prime }-\left (-x +2\right ) y&=0 \\
y \left (3\right ) &= 1 \\
y^{\prime }\left (3\right ) &= -2 \\
\end{align*} Series expansion around \(x=3\). |
✓ |
✓ |
✓ |
✓ |
0.525 |
|
| 10126 |
\begin{align*}
y^{\prime \prime \prime }+3 y^{\prime \prime }+4 y^{\prime }+12 y&=8 \cos \left (2 x \right )-16 \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.525 |
|
| 10127 |
\begin{align*}
\sin \left (t \right ) y^{\prime \prime }+\cos \left (t \right ) y^{\prime }+\frac {y}{t}&=0 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✗ |
0.525 |
|
| 10128 |
\begin{align*}
\left (a^{2}+x^{2}\right ) {y^{\prime }}^{2}&=b^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.525 |
|
| 10129 |
\begin{align*}
{y^{\prime }}^{3}-x y^{4} y^{\prime }-y^{5}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.525 |
|
| 10130 |
\begin{align*}
y y^{\prime \prime }&=g \left (x \right ) y^{2}+f \left (x \right ) y y^{\prime }+{y^{\prime }}^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.525 |
|
| 10131 |
\begin{align*}
2 x^{2} y^{\prime \prime }-y^{\prime } x +\left (-x^{2}+1\right ) y&=x \\
\end{align*} Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
0.525 |
|
| 10132 |
\begin{align*}
y^{\prime \prime }+5 y^{\prime }+4 y&=16 x +20 \,{\mathrm e}^{x} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.525 |
|
| 10133 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=x \,{\mathrm e}^{x} \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.525 |
|
| 10134 |
\begin{align*}
y^{\prime \prime }+y&=\tan \left (x \right )^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.525 |
|
| 10135 |
\begin{align*}
y^{\prime \prime }-2 t y^{\prime }+t^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.525 |
|
| 10136 |
\begin{align*}
\left (-x +3\right ) y^{\prime \prime }-\left (9-4 x \right ) y^{\prime }+\left (6-3 x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.525 |
|
| 10137 | \begin{align*}
y^{\prime \prime }+y&=2 \sec \left (\frac {t}{2}\right ) \\
\end{align*} | ✓ | ✓ | ✓ | ✓ | 0.526 |
|
| 10138 |
\begin{align*}
x_{1}^{\prime }&=\frac {3 x_{1}}{4}-2 x_{2} \\
x_{2}^{\prime }&=x_{1}-\frac {5 x_{2}}{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.526 |
|
| 10139 |
\begin{align*}
x_{1}^{\prime }&=-\frac {4 x_{1}}{5}+2 x_{2} \\
x_{2}^{\prime }&=-x_{1}+\frac {6 x_{2}}{5} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.526 |
|
| 10140 |
\begin{align*}
t^{2} y^{\prime \prime }-t \left (t +1\right ) y^{\prime }+y&=0 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.526 |
|
| 10141 |
\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 \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.526 |
|
| 10142 |
\begin{align*}
x \left (-1+{y^{\prime }}^{2}\right )&=2 y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.526 |
|
| 10143 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=4 \sinh \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.526 |
|
| 10144 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +x^{2} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.526 |
|
| 10145 |
\begin{align*}
y^{\prime \prime }-\left (x +1\right ) y^{\prime }-y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.526 |
|
| 10146 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+3 y&=9 x^{2}+4 \\
y \left (0\right ) &= 6 \\
y^{\prime }\left (0\right ) &= 8 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.526 |
|
| 10147 |
\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*} |
✓ |
✓ |
✓ |
✗ |
0.526 |
|
| 10148 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+2 a x y^{\prime }+a \left (a -1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.526 |
|
| 10149 |
\begin{align*}
y y^{\prime \prime }-a {y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.526 |
|
| 10150 |
\begin{align*}
x^{\prime }&=-y \\
y^{\prime }&=2 x+2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.526 |
|
| 10151 |
\begin{align*}
4 \left (x^{2}+1\right )^{2} y^{\prime \prime }+\left (a \,x^{2}+a -3\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.526 |
|
| 10152 |
\begin{align*}
x^{\prime \prime }+x^{\prime }-2 x&=12 \,{\mathrm e}^{-t}-6 \,{\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.526 |
|
| 10153 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.526 |
|
| 10154 |
\begin{align*}
x^{\prime }&=2 x-\frac {5 y}{2} \\
y^{\prime }&=\frac {9 x}{5}-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.526 |
|
| 10155 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{8}+4 y&=3 \cos \left (2 t \right ) \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.526 |
|
| 10156 | \begin{align*}
{y^{\prime }}^{2}-7 y^{\prime }+12&=0 \\
\end{align*} | ✓ | ✓ | ✓ | ✓ | 0.526 |
|
| 10157 |
\begin{align*}
y^{\prime }&=y-3 z \\
z^{\prime }&=2 y-4 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.526 |
|
| 10158 |
\begin{align*}
x_{1}^{\prime }&=x_{2} \\
x_{2}^{\prime }&=6 x_{1} \\
\end{align*} With initial conditions \begin{align*}
x_{1} \left (1\right ) &= 1 \\
x_{2} \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.526 |
|
| 10159 |
\begin{align*}
y^{\prime \prime }-y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.526 |
|
| 10160 |
\begin{align*}
y^{\prime \prime }+y&=3 \\
y \left (\frac {\pi }{2}\right ) &= 1 \\
y^{\prime }\left (\frac {\pi }{2}\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.526 |
|
| 10161 |
\begin{align*}
\left (t^{2}+1\right ) y^{\prime \prime }-4 t y^{\prime }+6 y&=2 t \\
y \left (0\right ) &= a \\
y^{\prime }\left (0\right ) &= b \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.526 |
|
| 10162 |
\begin{align*}
y^{\prime \prime }&=f \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.526 |
|
| 10163 |
\begin{align*}
x^{2} y^{\prime \prime }+2 y^{\prime } x -12 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.527 |
|
| 10164 |
\begin{align*}
\left (x^{2}-9\right )^{2} y^{\prime \prime }+\left (x^{2}+9\right ) y^{\prime }+\left (x^{2}+4\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.527 |
|
| 10165 |
\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 \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.527 |
|
| 10166 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (1-x \right ) y^{\prime }-y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.527 |
|
| 10167 |
\begin{align*}
y^{\prime \prime }-a^{2} y&=\frac {6 y}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.527 |
|
| 10168 |
\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*} |
✓ |
✓ |
✓ |
✓ |
0.527 |
|
| 10169 |
\begin{align*}
{y^{\prime }}^{2}&=a^{2}-y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.527 |
|
| 10170 |
\begin{align*}
4 y+y^{\prime \prime }&=\tan \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.527 |
|
| 10171 |
\begin{align*}
\left (x^{2}+4\right ) y^{\prime \prime }+2 y^{\prime } x -12 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.527 |
|
| 10172 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.527 |
|
| 10173 |
\begin{align*}
x^{\prime \prime }+x&=\cos \left (t \right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.527 |
|
| 10174 |
\begin{align*}
y^{\prime }&={\mathrm e}^{3 x}-x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.527 |
|
| 10175 | \begin{align*}
x^{2} y^{\prime \prime }-2 y&=x \\
\end{align*} | ✓ | ✓ | ✓ | ✓ | 0.527 |
|
| 10176 |
\begin{align*}
9 y+6 y^{\prime }+y^{\prime \prime }&=\frac {{\mathrm e}^{-3 x}}{x^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.527 |
|
| 10177 |
\begin{align*}
x_{1}^{\prime }&=x_{1}-5 x_{2} \\
x_{2}^{\prime }&=x_{1}+3 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.528 |
|
| 10178 |
\begin{align*}
x^{\prime }&=-3 x-4 y \\
y^{\prime }&=2 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.528 |
|
| 10179 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}+x_{2}+27 t \\
x_{2}^{\prime }&=-x_{1}+4 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.528 |
|
| 10180 |
\begin{align*}
y y^{\prime \prime }+y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.528 |
|
| 10181 |
\begin{align*}
x^{\prime }&=x+z \\
y^{\prime }&=y \\
z^{\prime }&=x+z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.528 |
|
| 10182 |
\begin{align*}
x^{2} \left (x^{2}+x +1\right ) y^{\prime \prime }-x \left (-2 x^{2}-4 x +1\right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.528 |
|
| 10183 |
\begin{align*}
{y^{\prime }}^{2}+2 y^{\prime } x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.528 |
|
| 10184 |
\begin{align*}
x^{\prime \prime }+x&=t \cos \left (t \right )-\cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.528 |
|
| 10185 |
\begin{align*}
y^{\prime \prime } x&=\left (2 x^{2}+1\right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.528 |
|
| 10186 |
\begin{align*}
x^{\prime }&=x+3 y \\
y^{\prime }&=3 x+y \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 5 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.528 |
|
| 10187 |
\begin{align*}
x^{\prime }&=a y \\
y^{\prime }&=-a x \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.528 |
|
| 10188 |
\begin{align*}
x^{\prime \prime }+2 x^{\prime }+x&=\delta \left (t \right )-\delta \left (t -2\right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 2 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.529 |
|
| 10189 |
\begin{align*}
x_{1}^{\prime }&=7 x_{1}-5 x_{2} \\
x_{2}^{\prime }&=4 x_{1}+3 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.529 |
|
| 10190 |
\begin{align*}
\cos \left (x \right ) y^{\prime \prime }+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.529 |
|
| 10191 |
\begin{align*}
x^{2} \left (x^{2}+2\right ) y^{\prime \prime }+x \left (-x^{2}+14\right ) y^{\prime }+2 \left (x^{2}+9\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.529 |
|
| 10192 |
\begin{align*}
9 x^{2} y^{\prime \prime }+3 x \left (-x^{2}+1\right ) y^{\prime }+\left (7 x^{2}+1\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.529 |
|
| 10193 |
\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*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.529 |
|
| 10194 | \begin{align*}
t^{2} y^{\prime \prime }+t y^{\prime }+\left (t +1\right ) y&=0 \\
\end{align*} Series expansion around \(t=0\). | ✓ | ✓ | ✓ | ✗ | 0.529 |
|
| 10195 |
\begin{align*}
x_{1}^{\prime }&=x_{2} \\
x_{2}^{\prime }&=x_{3} \\
x_{3}^{\prime }&=x_{1}+x_{2}-x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.529 |
|
| 10196 |
\begin{align*}
y^{\prime \prime }+x^{6} y^{\prime }+7 x^{5} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.529 |
|
| 10197 |
\begin{align*}
2 y y^{\prime \prime }-3 {y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.529 |
|
| 10198 |
\begin{align*}
y^{\prime }&=2 y+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.529 |
|
| 10199 |
\begin{align*}
y^{\prime \prime }+p \left (x \right ) y^{\prime }+q \left (x \right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.529 |
|
| 10200 |
\begin{align*}
t^{2} \left (1-t \right ) y^{\prime \prime }+\left (t^{2}+t \right ) y^{\prime }+\left (1-2 t \right ) y&=0 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.529 |
|