| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 13201 |
\begin{align*}
y^{\prime \prime } x -2 \left (a x +b \right ) y^{\prime }+\left (a^{2} x +2 a b \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.964 |
|
| 13202 |
\begin{align*}
4 y^{\prime \prime }+4 y^{\prime }+37 y&=\cos \left (3 t \right ) \\
y \left (0\right ) &= a \\
y^{\prime }\left (\pi \right ) &= a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.964 |
|
| 13203 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }&=2 \cos \left (4 x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.964 |
|
| 13204 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }&=4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.964 |
|
| 13205 |
\begin{align*}
x^{\prime }&=5 x+3 y+1 \\
y^{\prime }&=-6 x-4 y+{\mathrm e}^{t} \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.964 |
|
| 13206 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&={\mathrm e}^{x} x^{4}+x^{3} {\mathrm e}^{2 x}+x^{2} {\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.965 |
|
| 13207 |
\begin{align*}
2 x^{2} y y^{\prime \prime }+y^{2}&=x^{2} {y^{\prime }}^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.965 |
|
| 13208 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+\sqrt {3}\, x_{2}+{\mathrm e}^{t} \\
x_{2}^{\prime }&=\sqrt {3}\, x_{1}-x_{2}+\sqrt {3}\, {\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.966 |
|
| 13209 |
\begin{align*}
y^{\prime \prime \prime \prime }+8 y^{\prime \prime \prime }+32 y^{\prime \prime }+64 y^{\prime }+39 y&={\mathrm e}^{-2 x} \left (\left (4-15 x \right ) \cos \left (3 x \right )-\left (4+15 x \right ) \sin \left (3 x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.966 |
|
| 13210 |
\begin{align*}
x^{2} y^{\prime \prime }+\sin \left (x \right ) y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.966 |
|
| 13211 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}-5 x_{2}-\cos \left (t \right ) \\
x_{2}^{\prime }&=x_{1}-2 x_{2}+\sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 13212 |
\begin{align*}
y {y^{\prime }}^{2}+\left (y^{2}-x^{3}-x y^{2}\right ) y^{\prime }-x y \left (x^{2}+y^{2}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 13213 |
\begin{align*}
{y^{\prime }}^{2}-y y^{\prime }+{\mathrm e}^{x}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.967 |
|
| 13214 |
\begin{align*}
5 y-8 y^{\prime } x +4 x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 13215 |
\begin{align*}
24+12 y x +x^{3} \left (-y^{3}+y y^{\prime }+y^{\prime \prime }\right )&=0 \\
\end{align*} |
✗ |
✗ |
✓ |
✗ |
0.967 |
|
| 13216 |
\begin{align*}
y^{\prime \prime } x&=3 y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 13217 |
\begin{align*}
y^{\prime \prime }+5 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 13218 |
\begin{align*}
x^{2} y^{\prime \prime }-x^{2} y^{\prime }+\left (x^{2}-2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 13219 |
\begin{align*}
4 y^{3} {y^{\prime }}^{2}+4 y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.967 |
|
| 13220 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 13221 |
\begin{align*}
y^{\prime \prime }-y^{\prime }&=4 x^{2}+x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 13222 |
\begin{align*}
y^{\prime }-2 y&=3 \,{\mathrm e}^{2 x} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.968 |
|
| 13223 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=x^{2}+3 x +{\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.968 |
|
| 13224 |
\begin{align*}
x^{\prime }+3 x-2 y&={\mathrm e}^{-t} \\
y^{\prime }-x+4 y&=\sin \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.968 |
|
| 13225 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (x^{2}-\frac {1}{4}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.968 |
|
| 13226 |
\begin{align*}
y^{\prime \prime }-k \,x^{a} y^{b} {y^{\prime }}^{r}&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.969 |
|
| 13227 |
\begin{align*}
\left (\cos \left (y\right )-\sin \left (y\right ) y\right ) y^{\prime \prime }-{y^{\prime }}^{2} \left (2 \sin \left (y\right )+y \cos \left (y\right )\right )&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
0.969 |
|
| 13228 |
\begin{align*}
x_{1}^{\prime }&=35 x_{1}-12 x_{2}+4 x_{3}+30 x_{4} \\
x_{2}^{\prime }&=22 x_{1}-8 x_{2}+3 x_{3}+19 x_{4} \\
x_{3}^{\prime }&=-10 x_{1}+3 x_{2}-9 x_{4} \\
x_{4}^{\prime }&=-27 x_{1}+9 x_{2}-3 x_{3}-23 x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.970 |
|
| 13229 |
\begin{align*}
4 y^{\prime \prime } x +3 y^{\prime }+3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.970 |
|
| 13230 |
\begin{align*}
\left (x +y^{2}\right ) y^{\prime \prime }&=2 \left (x -y^{2}\right ) {y^{\prime }}^{3}-y^{\prime } \left (1+4 y y^{\prime }\right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.970 |
|
| 13231 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=10 x^{4}+2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.970 |
|
| 13232 |
\begin{align*}
\left (t^{3}-2 t^{2}\right ) x^{\prime \prime }-\left (t^{3}+2 t^{2}-6 t \right ) x^{\prime }+\left (3 t^{2}-6\right ) x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.970 |
|
| 13233 |
\begin{align*}
\left (x -1\right ) y^{\prime \prime }-y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.970 |
|
| 13234 |
\begin{align*}
4 x^{\prime }+9 y^{\prime }+11 x+31 y&={\mathrm e}^{t} \\
3 x^{\prime }+7 y^{\prime }+8 x+24 y&={\mathrm e}^{2 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.970 |
|
| 13235 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+5 y&={\mathrm e}^{x} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.970 |
|
| 13236 |
\begin{align*}
y^{\prime }&=2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.970 |
|
| 13237 |
\begin{align*}
y^{\prime }-3 y&=\operatorname {Heaviside}\left (-2+t \right ) \\
y \left (0\right ) &= 2 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.970 |
|
| 13238 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}+x_{3} \\
x_{2}^{\prime }&=9 x_{1}-x_{2}+2 x_{3} \\
x_{3}^{\prime }&=-9 x_{1}+4 x_{2}-x_{3} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 0 \\
x_{2} \left (0\right ) &= 0 \\
x_{3} \left (0\right ) &= 17 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.971 |
|
| 13239 |
\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 \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.971 |
|
| 13240 |
\begin{align*}
y^{\prime \prime } x -y^{\prime }&=x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.971 |
|
| 13241 |
\begin{align*}
y^{\prime \prime }&=-\frac {y^{\prime }}{x^{4}}+\frac {y}{x^{5}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.971 |
|
| 13242 |
\begin{align*}
x^{\prime }+3 x-y&={\mathrm e}^{2 t} \\
y^{\prime }+x+5 y&={\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.971 |
|
| 13243 |
\begin{align*}
2 x^{2} y^{\prime \prime }+y^{\prime } x -\left (x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.971 |
|
| 13244 |
\begin{align*}
x^{\prime \prime }+3 x^{\prime }&={\mathrm e}^{-3 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.971 |
|
| 13245 |
\begin{align*}
x^{2} y^{\prime \prime }+5 y^{\prime } x +\left (2 x +4\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.971 |
|
| 13246 |
\begin{align*}
y^{\prime }&=a \left (t \right ) y+\delta \left (-t +s \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.971 |
|
| 13247 |
\begin{align*}
2 y y^{\prime \prime }&=8 y^{3}-2 y^{2} \left (f \left (x \right )^{2}+f^{\prime }\left (x \right )\right )-3 f \left (x \right ) y y^{\prime }+{y^{\prime }}^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.972 |
|
| 13248 |
\begin{align*}
a^{4} y+2 a^{2} y^{\prime \prime }+y^{\prime \prime \prime \prime }&=8 \cos \left (a x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.972 |
|
| 13249 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+20 y&=-3 \sin \left (2 t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.972 |
|
| 13250 |
\begin{align*}
4 x^{2} y^{\prime \prime }+4 x \left (2 x +1\right ) y^{\prime }+\left (4 x -1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.973 |
|
| 13251 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime } x +\left (4 x^{2}-3\right ) y-{\mathrm e}^{x^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.973 |
|
| 13252 |
\begin{align*}
y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=x^{2} \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.973 |
|
| 13253 |
\begin{align*}
y^{\prime \prime } x -\left (x^{2}+2\right ) y^{\prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.973 |
|
| 13254 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+y&=2 \cos \left (2 t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.974 |
|
| 13255 |
\begin{align*}
y^{\prime \prime \prime \prime }+y^{\prime \prime }&=\cos \left (t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= 1 \\
y^{\prime \prime \prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.974 |
|
| 13256 |
\begin{align*}
y^{\prime \prime }&=x \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.974 |
|
| 13257 |
\begin{align*}
x^{\prime \prime }&=x^{3}-x \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
0.974 |
|
| 13258 |
\begin{align*}
5 y y^{\prime \prime }&={y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.975 |
|
| 13259 |
\begin{align*}
\left (t^{2}-t -2\right ) x^{\prime \prime }+\left (1+t \right ) x^{\prime }-\left (-2+t \right ) x&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.975 |
|
| 13260 |
\begin{align*}
y^{\prime \prime } x +2 y^{\prime }+a \,x^{v} y^{n}&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.975 |
|
| 13261 |
\begin{align*}
4 x^{2} y^{\prime \prime }+\left (1-4 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.975 |
|
| 13262 |
\begin{align*}
y^{\prime \prime }+\frac {2 y^{\prime }}{x}&=n^{2} y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.975 |
|
| 13263 |
\begin{align*}
{y^{\prime }}^{3}+a x y^{\prime }-a y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.976 |
|
| 13264 |
\begin{align*}
y^{\prime \prime }&=a {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.976 |
|
| 13265 |
\begin{align*}
y y^{\prime \prime }+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.976 |
|
| 13266 |
\begin{align*}
4 x^{2} y^{\prime \prime }-x^{2} y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.976 |
|
| 13267 |
\begin{align*}
y^{\prime \prime } x -\left (x^{2}-x -2\right ) y^{\prime }-x \left (x +3\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.976 |
|
| 13268 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (\left (\alpha +\beta +1\right ) \left (x -a \right )^{2} \left (-b +x \right )+\left (1-\alpha -\beta \right ) \left (-b +x \right )^{2} \left (x -a \right )\right ) y^{\prime }}{\left (x -a \right )^{2} \left (-b +x \right )^{2}}-\frac {\alpha \beta \left (a -b \right )^{2} y}{\left (x -a \right )^{2} \left (-b +x \right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.976 |
|
| 13269 |
\begin{align*}
x&=y-{y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.976 |
|
| 13270 |
\begin{align*}
x^{4} \left (x^{2}-4\right ) y^{\prime \prime }+\left (x +1\right ) y^{\prime }+\left (x^{2}-3 x +2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=2\). |
✓ |
✓ |
✓ |
✓ |
0.976 |
|
| 13271 |
\begin{align*}
x^{2} \left (x^{2}+1\right ) y^{\prime \prime }+x \left (2 x^{2}+5\right ) y^{\prime }-21 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.977 |
|
| 13272 |
\begin{align*}
x^{2} y^{\prime \prime }-\left (x -\frac {2}{9}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.977 |
|
| 13273 |
\begin{align*}
y^{\prime \prime } x +\left (a x +b \right ) y^{\prime }+c x \left (-c \,x^{2}+a x +b +1\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.977 |
|
| 13274 |
\begin{align*}
x y^{\prime \prime \prime }+y^{\prime } x&=4 \\
y \left (1\right ) &= 0 \\
y^{\prime }\left (1\right ) &= 1 \\
y^{\prime \prime }\left (1\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.977 |
|
| 13275 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&={\mathrm e}^{-2 t} \sqrt {-t^{2}+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.977 |
|
| 13276 |
\begin{align*}
3 y-\left (x +3\right ) y^{\prime }+y^{\prime \prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.977 |
|
| 13277 |
\begin{align*}
2 y+2 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime }&=10 x +\frac {10}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.977 |
|
| 13278 |
\begin{align*}
t^{2} y^{\prime \prime }+t \,{\mathrm e}^{t} y^{\prime }+4 \left (1-4 t \right ) y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✗ |
0.977 |
|
| 13279 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime } x -{\mathrm e}^{x} y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.978 |
|
| 13280 |
\begin{align*}
x_{1}^{\prime }&=x_{3} \\
x_{2}^{\prime }&=x_{4} \\
x_{3}^{\prime }&=-2 x_{1}+2 x_{2}-3 x_{3}+x_{4} \\
x_{4}^{\prime }&=2 x_{1}-2 x_{2}+x_{3}-3 x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.979 |
|
| 13281 |
\begin{align*}
y+3 x^{5} y^{\prime }+x^{6} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.979 |
|
| 13282 |
\begin{align*}
x^{2} y^{\prime \prime }+3 x \left (x +1\right ) y^{\prime }+\left (1-3 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.979 |
|
| 13283 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+5 y&=x^{3} {\mathrm e}^{-x} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.979 |
|
| 13284 |
\begin{align*}
y^{\prime \prime }-y^{\prime }+y&=1 \\
y \left (1\right ) &= 4 \\
y^{\prime }\left (1\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.979 |
|
| 13285 |
\begin{align*}
z y^{\prime \prime }+\left (1-z \right ) y^{\prime }+\lambda y&=0 \\
\end{align*}
Series expansion around \(z=0\). |
✓ |
✓ |
✓ |
✓ |
0.980 |
|
| 13286 |
\begin{align*}
16 y+8 y^{\prime }+y^{\prime \prime }&=4 \,{\mathrm e}^{x}-{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.980 |
|
| 13287 |
\begin{align*}
x^{2} y^{\prime \prime }-y^{\prime } x +\frac {y}{1-x}&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.980 |
|
| 13288 |
\begin{align*}
\left (2-3 y\right )^{2} {y^{\prime }}^{2}&=4-4 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.980 |
|
| 13289 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=4 x^{3}-2 \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.980 |
|
| 13290 |
\begin{align*}
y^{\prime \prime } x +\left (x^{3}-1\right ) y^{\prime }+3 x^{2} y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.980 |
|
| 13291 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{x}+\left (1-\frac {1}{4 x^{2}}\right ) y&=\sqrt {x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.981 |
|
| 13292 |
\begin{align*}
{y^{\prime }}^{2}+4 x^{5} y^{\prime }-12 x^{4} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.982 |
|
| 13293 |
\begin{align*}
y^{\prime \prime } x -3 y^{\prime } x +\sin \left (x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.982 |
|
| 13294 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+3 y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.982 |
|
| 13295 |
\begin{align*}
y^{\prime \prime }-\left (a^{2} x^{2}+a \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.983 |
|
| 13296 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (x +1\right ) y^{\prime }+\left (3 x -1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.983 |
|
| 13297 |
\begin{align*}
y^{\prime \prime \prime }-5 y^{\prime } x&={\mathrm e}^{x}+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.983 |
|
| 13298 |
\begin{align*}
4 x^{2} y^{\prime \prime }-4 y^{\prime } x +\left (4 x^{2}+3\right ) y&=x^{{7}/{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.984 |
|
| 13299 |
\begin{align*}
9 y^{2} {y^{\prime }}^{2}-3 y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.984 |
|
| 13300 |
\begin{align*}
2 y y^{\prime \prime }&={y^{\prime }}^{2} \left (1+{y^{\prime }}^{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.984 |
|