| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 11201 |
\begin{align*}
y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.872 |
|
| 11202 |
\begin{align*}
x y^{\prime \prime }&={y^{\prime }}^{3}+y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.872 |
|
| 11203 |
\begin{align*}
y y^{\prime \prime }-{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.872 |
|
| 11204 |
\begin{align*}
z^{\prime }+y^{\prime }+5 y-3 z&=x +{\mathrm e}^{x} \\
y^{\prime }+2 y-z&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.872 |
|
| 11205 |
\begin{align*}
x^{\prime \prime }+2 x&=\cos \left (\sqrt {2}\, t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.872 |
|
| 11206 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.872 |
|
| 11207 |
\begin{align*}
y&=\left (y^{\prime }-1\right ) {\mathrm e}^{y^{\prime }} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.872 |
|
| 11208 |
\begin{align*}
5 y^{\prime \prime }-6 y^{\prime }+5 y&=13 \,{\mathrm e}^{x} \cosh \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.872 |
|
| 11209 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=4 \cos \left (3 t \right ) \\
y \left (0\right ) &= 6 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.872 |
|
| 11210 |
\begin{align*}
\left (x -2\right ) y^{\prime \prime }+\frac {y^{\prime }}{x}+\left (x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=2\). |
✓ |
✓ |
✓ |
✓ |
0.873 |
|
| 11211 |
\begin{align*}
\left (y-2 x \right ) {y^{\prime }}^{2}-2 \left (x -1\right ) y^{\prime }+y-2&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.873 |
|
| 11212 |
\begin{align*}
x^{\prime \prime }-x&=\frac {{\mathrm e}^{t}}{1+{\mathrm e}^{t}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.873 |
|
| 11213 |
\begin{align*}
16 x^{4} y^{\prime \prime \prime \prime }+96 x^{3} y^{\prime \prime \prime }+72 x^{2} y^{\prime \prime }-24 x y^{\prime }+9 y&=96 x^{{5}/{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.874 |
|
| 11214 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (25 x^{2}-\frac {4}{9}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.874 |
|
| 11215 |
\begin{align*}
\cos \left (x \right ) \sin \left (y\right ) y^{\prime }-\cos \left (x \right ) \cos \left (y\right )-\cos \left (x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.874 |
|
| 11216 |
\begin{align*}
y^{\prime \prime }+y&={\mathrm e}^{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.874 |
|
| 11217 |
\begin{align*}
t^{2} y^{\prime \prime }-t y^{\prime }-\left (t^{2}+\frac {5}{4}\right ) y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.875 |
|
| 11218 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{a x} x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.875 |
|
| 11219 |
\begin{align*}
16 x^{2} y^{\prime \prime }+16 x y^{\prime }+\left (16 x^{2}-1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.875 |
|
| 11220 |
\begin{align*}
2 y y^{\prime \prime }-{y^{\prime }}^{2} \left (1+{y^{\prime }}^{2}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.875 |
|
| 11221 |
\begin{align*}
x^{\prime \prime }+x&=\tan \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.875 |
|
| 11222 |
\begin{align*}
y y^{\prime \prime }-{y^{\prime }}^{2}&=y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.875 |
|
| 11223 |
\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*} |
✓ |
✓ |
✓ |
✓ |
0.875 |
|
| 11224 |
\begin{align*}
x y^{\prime \prime }+\left (1-x \right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.875 |
|
| 11225 |
\begin{align*}
x^{\prime }&=3 x-2 y \\
y^{\prime }&=2 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.876 |
|
| 11226 |
\begin{align*}
x^{2} \left (x^{2}-2 x +1\right ) y^{\prime \prime }-x \left (x +3\right ) y^{\prime }+\left (x +4\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.876 |
|
| 11227 |
\begin{align*}
y-x \left (x +1\right ) y^{\prime }+x^{2} \left (1-x \right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.876 |
|
| 11228 |
\begin{align*}
2 {y^{\prime }}^{2}+\left (1-y\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.876 |
|
| 11229 |
\begin{align*}
y^{\prime \prime \prime }+4 y^{\prime }&=\tan \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.876 |
|
| 11230 |
\begin{align*}
y^{\prime \prime }+8 y^{\prime }+25 y&=100 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 20 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.876 |
|
| 11231 |
\begin{align*}
2 x^{2} y^{\prime \prime }+5 x y^{\prime }+\left (x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.877 |
|
| 11232 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.877 |
|
| 11233 |
\begin{align*}
\left (-a^{2}+x^{2}\right )^{2} y^{\prime \prime }+y b^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.877 |
|
| 11234 |
\begin{align*}
y^{\prime }&=y^{2}-4 y+2 \\
y \left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
0.877 |
|
| 11235 |
\begin{align*}
y^{\prime \prime }+5 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.878 |
|
| 11236 |
\begin{align*}
\left (3 x -1\right ) y^{\prime \prime }-\left (3 x +2\right ) y^{\prime }-\left (6 x -8\right ) y&=\left (3 x -1\right )^{2} {\mathrm e}^{2 x} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.878 |
|
| 11237 |
\begin{align*}
4 x^{2} \left (x^{2}+1\right ) y^{\prime \prime }+4 x \left (6 x^{2}+1\right ) y^{\prime }-\left (-25 x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.878 |
|
| 11238 |
\begin{align*}
x y {y^{\prime }}^{2}+\left (3 x^{2}-2 y^{2}\right ) y^{\prime }-6 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.878 |
|
| 11239 |
\begin{align*}
{y^{\prime }}^{3}-\left (x^{2}+y x +y^{2}\right ) {y^{\prime }}^{2}+x y \left (x^{2}+y x +y^{2}\right ) y^{\prime }-x^{3} y^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.878 |
|
| 11240 |
\begin{align*}
y^{\prime }&=1-2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.878 |
|
| 11241 |
\begin{align*}
y^{\prime \prime }&=\sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.878 |
|
| 11242 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&={\mathrm e}^{-2 t} \sqrt {-t^{2}+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.878 |
|
| 11243 |
\begin{align*}
y^{\prime \prime }+4 y&=t^{2}+3 \,{\mathrm e}^{t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.878 |
|
| 11244 |
\begin{align*}
y_{1}^{\prime }&=5 y_{1}-y_{2}+{\mathrm e}^{-t} \\
y_{2}^{\prime }&=y_{1}+3 y_{2}+2 \,{\mathrm e}^{t} \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= -3 \\
y_{2} \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.878 |
|
| 11245 |
\begin{align*}
x y^{\prime \prime }+2 x y^{\prime }+2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.878 |
|
| 11246 |
\begin{align*}
x^{2} y^{\prime \prime }+2 x y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.878 |
|
| 11247 |
\begin{align*}
x_{1}^{\prime }&=-10 x_{1}+x_{2}+7 x_{3} \\
x_{2}^{\prime }&=-9 x_{1}+4 x_{2}+5 x_{3} \\
x_{3}^{\prime }&=-17 x_{1}+x_{2}+12 x_{3} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 5 \\
x_{2} \left (0\right ) &= 2 \\
x_{3} \left (0\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.878 |
|
| 11248 |
\begin{align*}
-y y^{\prime }-2 {y^{\prime }}^{2} x +x y y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.879 |
|
| 11249 |
\begin{align*}
y^{\prime \prime }-x y^{\prime }-y x -x^{5}+24&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.879 |
|
| 11250 |
\begin{align*}
2 y-x y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.879 |
|
| 11251 |
\begin{align*}
x^{4} y^{\prime \prime }+a y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.879 |
|
| 11252 |
\begin{align*}
x^{\prime }&=3 x-y+1 \\
y^{\prime }&=x+y+2 \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.879 |
|
| 11253 |
\begin{align*}
t^{2} y^{\prime \prime }-2 y&=t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.880 |
|
| 11254 |
\begin{align*}
x^{\prime }&=2 x-y \\
y^{\prime }&=-x+2 y+4 \,{\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.880 |
|
| 11255 |
\begin{align*}
x^{\prime \prime }+\frac {x^{\prime }}{8}+x&=0 \\
x \left (0\right ) &= 2 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.880 |
|
| 11256 |
\begin{align*}
y_{1}^{\prime }&=6 y_{2} \\
y_{2}^{\prime }&=-6 y_{1} \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 5 \\
y_{2} \left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.880 |
|
| 11257 |
\begin{align*}
y_{1}^{\prime }&=-2 y_{1}+y_{2} \\
y_{2}^{\prime }&=y_{1}-2 y_{2}+\sin \left (t \right ) \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 0 \\
y_{2} \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.880 |
|
| 11258 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.880 |
|
| 11259 |
\begin{align*}
\left (x^{2}-4\right ) y^{\prime \prime }+4 x y^{\prime }+2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.881 |
|
| 11260 |
\begin{align*}
4 x^{2} y^{\prime \prime }+2 x^{2} y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.881 |
|
| 11261 |
\begin{align*}
x^{\prime }&=5 x+9 y+2 \\
y^{\prime }&=-x+11 y+6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.881 |
|
| 11262 |
\begin{align*}
y^{\prime }&=3-2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.881 |
|
| 11263 |
\begin{align*}
\left (x^{2}-4\right ) y^{\prime \prime }+y&=0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.881 |
|
| 11264 |
\begin{align*}
\left (t^{2}+1\right ) y^{\prime \prime }-4 t y^{\prime }+6 y&=2 t \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.881 |
|
| 11265 |
\begin{align*}
x y^{\prime \prime }+\left (x +n \right ) y^{\prime }+\left (n +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.882 |
|
| 11266 |
\begin{align*}
y y^{\prime }+y^{\prime \prime }&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
0.882 |
|
| 11267 |
\begin{align*}
y x -y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.882 |
|
| 11268 |
\begin{align*}
\left (2 x^{2}+1\right ) y^{\prime \prime }-5 x y^{\prime }+3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.882 |
|
| 11269 |
\begin{align*}
{y^{\prime }}^{2}-y^{\prime }-x y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.882 |
|
| 11270 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=2 \,{\mathrm e}^{2 x} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.882 |
|
| 11271 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+2 x y^{\prime }&=x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.882 |
|
| 11272 |
\begin{align*}
-a^{2} y+y^{\prime \prime }&=x +1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.883 |
|
| 11273 |
\begin{align*}
y^{\prime }+\frac {26 y}{5}&=\frac {97 \sin \left (2 t \right )}{5} \\
y \left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.883 |
|
| 11274 |
\begin{align*}
x&=\frac {y}{y^{\prime }}+\frac {1}{{y^{\prime }}^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.883 |
|
| 11275 |
\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 \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.884 |
|
| 11276 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}-x_{2}+x_{3} \\
x_{2}^{\prime }&=x_{1}+2 x_{2}-x_{3} \\
x_{3}^{\prime }&=x_{1}-x_{2}+2 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.884 |
|
| 11277 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=x +1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.884 |
|
| 11278 |
\begin{align*}
y^{\prime \prime }+y&=\tan \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.884 |
|
| 11279 |
\begin{align*}
T^{\prime }&={\mathrm e}^{-t} \sin \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.884 |
|
| 11280 |
\begin{align*}
{y^{\prime }}^{2}+\left (x +a \right ) y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.884 |
|
| 11281 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=x^{2} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.884 |
|
| 11282 |
\begin{align*}
x_{1}^{\prime }&=-2 x_{1}+x_{2} \\
x_{2}^{\prime }&=-5 x_{1} \\
x_{3}^{\prime }&=3 x_{2}-2 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.884 |
|
| 11283 |
\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 \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.885 |
|
| 11284 |
\begin{align*}
x y^{\prime \prime }+2 y^{\prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.885 |
|
| 11285 |
\begin{align*}
y^{\prime \prime }+i y^{\prime }+2 y&=2 \cosh \left (2 x \right )+{\mathrm e}^{-2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.885 |
|
| 11286 |
\begin{align*}
x^{\prime }&=6 x-y \\
y^{\prime }&=5 x+2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.885 |
|
| 11287 |
\begin{align*}
y^{\prime }&=\frac {30 x^{3}+25 \sqrt {x}+25 y^{2}-20 x^{3} y-100 y \sqrt {x}+4 x^{6}+40 x^{{7}/{2}}+100 x}{25 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.885 |
|
| 11288 |
\begin{align*}
y^{\prime \prime }+x y^{\prime }+\left (2 x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.885 |
|
| 11289 |
\begin{align*}
y^{\prime \prime \prime }+\frac {3 y^{\prime \prime }}{x}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.885 |
|
| 11290 |
\begin{align*}
y_{1}^{\prime }&=-5 y_{1}+y_{2} \\
y_{2}^{\prime }&=-9 y_{1}+5 y_{2} \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 1 \\
y_{2} \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.885 |
|
| 11291 |
\begin{align*}
y^{\prime \prime }&={y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.885 |
|
| 11292 |
\begin{align*}
\left (-x^{2}+x \right ) y^{\prime \prime }-3 y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.886 |
|
| 11293 |
\begin{align*}
y^{\prime }&=x -\frac {1}{3} x^{3} \\
y \left (-1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.886 |
|
| 11294 |
\begin{align*}
x^{\prime }&=2 x-y+z \\
y^{\prime }&=x+2 y-z \\
z^{\prime }&=x-y+2 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.886 |
|
| 11295 |
\begin{align*}
x^{\prime \prime \prime \prime }-4 x^{\prime \prime }+x&=0 \\
x \left (0\right ) &= 0 \\
x \left (\infty \right ) &= 0 \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.886 |
|
| 11296 |
\begin{align*}
4 y+y^{\prime \prime }&=2 \tan \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.886 |
|
| 11297 |
\begin{align*}
x^{\prime }&=y \\
y^{\prime }&=-x+3 \\
\end{align*}
With initial conditions \begin{align*}
x \left (\pi \right ) &= 1 \\
y \left (\pi \right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.886 |
|
| 11298 |
\begin{align*}
x^{2} y^{\prime \prime }-\left (3 x^{4}+5 x \right ) y^{\prime }+\left (6 x^{3}+5\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.886 |
|
| 11299 |
\begin{align*}
4 x y^{\prime \prime }+2 y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.886 |
|
| 11300 |
\begin{align*}
\left (-x +a \right ) {y^{\prime }}^{2}+y y^{\prime }-b&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.887 |
|