| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 11301 |
\begin{align*}
2 y^{\prime \prime }+3 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.888 |
|
| 11302 |
\begin{align*}
y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.888 |
|
| 11303 |
\begin{align*}
2 x^{2} y^{\prime \prime }-3 \left (x^{2}+x \right ) y^{\prime }+\left (3 x +2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.888 |
|
| 11304 |
\begin{align*}
x^{\prime }-2 x+2 y^{\prime }&=-4 \,{\mathrm e}^{2 t} \\
2 x^{\prime }-3 x+3 y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.888 |
|
| 11305 |
\begin{align*}
\left (-x^{3}+1\right ) y^{\prime }-2 \left (x +1\right ) y&=y^{{5}/{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.888 |
|
| 11306 |
\begin{align*}
x^{\prime }&=x+y-5 t +2 \\
y^{\prime }&=4 x-2 y-8 t -8 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.888 |
|
| 11307 |
\begin{align*}
\left (9 x^{2}+1\right ) y^{\prime \prime }-18 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.888 |
|
| 11308 |
\begin{align*}
y^{\prime }&=\sin \left (x \right )^{3} \tan \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.888 |
|
| 11309 |
\begin{align*}
{y^{\prime }}^{2} x&={\mathrm e}^{\frac {1}{y^{\prime }}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.888 |
|
| 11310 |
\begin{align*}
\sin \left (x \right ) y^{\prime \prime }-\cos \left (x \right ) y^{\prime }+2 y \sin \left (x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.888 |
|
| 11311 |
\begin{align*}
-\left (a^{2}+1\right ) y-2 \tan \left (x \right ) y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.888 |
|
| 11312 |
\begin{align*}
x \left (x -1\right ) y^{\prime \prime }+3 y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.888 |
|
| 11313 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{x -3}+\frac {y}{x -4}&=0 \\
\end{align*}
Series expansion around \(x=3\). |
✓ |
✓ |
✓ |
✓ |
0.889 |
|
| 11314 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=\frac {{\mathrm e}^{2 x}}{x^{4}} \\
y \left (1\right ) &= 0 \\
y^{\prime }\left (1\right ) &= {\mathrm e}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.889 |
|
| 11315 |
\begin{align*}
x^{2} \left (x +1\right ) y^{\prime \prime }-3 x y^{\prime }+\left (3-2 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.889 |
|
| 11316 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-y x -x^{3}+1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.890 |
|
| 11317 |
\(\left [\begin {array}{ccc} 1 & 1 & -1 \\ 2 & 3 & -4 \\ 4 & 1 & -4 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.890 |
|
| 11318 |
\begin{align*}
-y+y^{\prime }&={\mathrm e}^{3 t} \\
y \left (0\right ) &= 2 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.890 |
|
| 11319 |
\begin{align*}
x^{\prime }&=2 \sin \left (t \right )^{2} \\
x \left (\frac {\pi }{4}\right ) &= \frac {\pi }{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.890 |
|
| 11320 |
\begin{align*}
y^{\prime \prime }-2 a y^{\prime }+a^{2} y&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.890 |
|
| 11321 |
\begin{align*}
x^{6} {y^{\prime }}^{3}-3 x y^{\prime }-3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.890 |
|
| 11322 |
\begin{align*}
{y^{\prime }}^{2}-a x y^{\prime }+a y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.891 |
|
| 11323 |
\begin{align*}
9 x^{2} y^{\prime \prime }+9 x y^{\prime }+\left (x^{6}-36\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.891 |
|
| 11324 |
\begin{align*}
4 y+y^{\prime \prime }&=\tan \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.891 |
|
| 11325 |
\begin{align*}
x^{\prime \prime }-3 x^{\prime }-40 x&=2 \,{\mathrm e}^{-t} \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.891 |
|
| 11326 |
\begin{align*}
x^{2} \left (x^{2}-1\right )^{2} y^{\prime \prime }-x \left (1-x \right ) y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.891 |
|
| 11327 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.891 |
|
| 11328 |
\begin{align*}
T^{\prime \prime }+{T^{\prime }}^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.891 |
|
| 11329 |
\begin{align*}
x^{\prime }&=y-z \\
y^{\prime }&=-x+z \\
z^{\prime }&=x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.891 |
|
| 11330 |
\begin{align*}
2 x^{2} y^{\prime \prime }+x \left (x +1\right ) y^{\prime }-\left (2 x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.892 |
|
| 11331 |
\begin{align*}
x^{2} y^{\prime \prime }-x \left (x +3\right ) y^{\prime }+4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.892 |
|
| 11332 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (2 x \right ) \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.892 |
|
| 11333 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.892 |
|
| 11334 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+3 y&=\cos \left (x \right ) {\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.892 |
|
| 11335 |
\begin{align*}
x^{\prime }&=-y+\sin \left (t \right ) \\
y^{\prime }&=x+\cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.892 |
|
| 11336 |
\begin{align*}
y_{1}^{\prime }&=-y_{1}-5 y_{2}+3 \\
y_{2}^{\prime }&=y_{1}+3 y_{2}+5 \cos \left (t \right ) \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 1 \\
y_{2} \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.892 |
|
| 11337 |
\begin{align*}
x_{1}^{\prime }&=1-x_{2}+x_{3} \\
x_{2}^{\prime }&=2 x_{2}+t \\
x_{3}^{\prime }&=-2 x_{1}-x_{2}+3 x_{3}+{\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.892 |
|
| 11338 |
\begin{align*}
2 x y^{\prime \prime }+\left (-x +3\right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.892 |
|
| 11339 |
\begin{align*}
y y^{\prime \prime }-{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.892 |
|
| 11340 |
\begin{align*}
x \left (1-x \right ) y^{\prime \prime }+\left (\frac {1}{2}-3 x \right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.892 |
|
| 11341 |
\begin{align*}
y^{\prime \prime }+y&=\tan \left (x \right ) \\
y \left (0\right ) &= 4 \\
y^{\prime }\left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.892 |
|
| 11342 |
\begin{align*}
\left (2 x +1\right ) x y^{\prime \prime }+2 \left (x +1\right ) y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.892 |
|
| 11343 |
\begin{align*}
5 x y^{\prime \prime }+\left (30+3 x \right ) y^{\prime }+3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.893 |
|
| 11344 |
\begin{align*}
y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y&=36 t \,{\mathrm e}^{4 t} \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= -6 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.893 |
|
| 11345 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+5 y&=4 \,{\mathrm e}^{-t} \cos \left (2 t \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.893 |
|
| 11346 |
\begin{align*}
y^{\prime \prime }+y&=2 \cos \left (w t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.893 |
|
| 11347 |
\begin{align*}
x^{4} y^{\prime \prime \prime \prime }+x y^{\prime \prime \prime }&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.893 |
|
| 11348 |
\begin{align*}
x \left (1-x \right ) y^{\prime \prime }+\left (\frac {3}{4}-4 x \right ) y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.893 |
|
| 11349 |
\begin{align*}
y^{\prime \prime }+y&={\mathrm e}^{x} \left (x^{2}-1\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.894 |
|
| 11350 |
\begin{align*}
y^{\prime \prime }-\left (x +1\right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.894 |
|
| 11351 |
\begin{align*}
\left (-4 x^{2}+1\right ) y^{\prime \prime }+6 x y^{\prime }-4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.894 |
|
| 11352 |
\begin{align*}
x y^{\prime \prime }-\left (x +n \right ) y^{\prime }+n y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.894 |
|
| 11353 |
\begin{align*}
4 x y^{\prime \prime }+2 y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.894 |
|
| 11354 |
\begin{align*}
x^{\prime \prime }+x&=2 \sin \left (t \right )+2 \cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.894 |
|
| 11355 |
\begin{align*}
t^{2} x^{\prime \prime }-2 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.894 |
|
| 11356 |
\begin{align*}
x^{\prime }&=y+{\mathrm e}^{t} \\
y^{\prime }&=-2 x+3 y+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.894 |
|
| 11357 |
\begin{align*}
x \left (1-x \right ) y^{\prime \prime }+\left (\frac {2}{3}-3 x \right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.894 |
|
| 11358 |
\begin{align*}
2 y^{\prime \prime }&={y^{\prime }}^{3} \sin \left (2 x \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.894 |
|
| 11359 |
\begin{align*}
y^{\prime \prime }-8 y^{\prime }+25 y&=36 t \,{\mathrm e}^{4 t} \sin \left (3 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.894 |
|
| 11360 |
\begin{align*}
y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+2 y^{\prime \prime }+2 y^{\prime }+y&=x \,{\mathrm e}^{x}+\frac {\cos \left (x \right )}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.894 |
|
| 11361 |
\begin{align*}
y_{1}^{\prime }&=3 y_{1}+5 y_{2}+8 y_{3} \\
y_{2}^{\prime }&=y_{1}-y_{2}-2 y_{3} \\
y_{3}^{\prime }&=-y_{1}-y_{2}-y_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.895 |
|
| 11362 |
\begin{align*}
t^{2} y^{\prime \prime }+t \left (t +1\right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.895 |
|
| 11363 |
\begin{align*}
x_{1}^{\prime }&=-x_{2} \\
x_{2}^{\prime }&=x_{1} \\
x_{3}^{\prime }&=x_{1}-x_{4} \\
x_{4}^{\prime }&=x_{2}+x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.895 |
|
| 11364 |
\begin{align*}
y^{\prime }&={\mathrm e}^{x} \sin \left (x \right ) \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.895 |
|
| 11365 |
\begin{align*}
x y^{\prime }&=-\sqrt {a^{2}-x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.895 |
|
| 11366 |
\begin{align*}
\cos \left (y\right )-\left (\sin \left (y\right ) x -y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.895 |
|
| 11367 |
\begin{align*}
\left (-x^{2}+x \right ) y^{\prime \prime }+3 y^{\prime }+2 y&=3 x^{2} \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.895 |
|
| 11368 |
\begin{align*}
y^{\prime \prime }+\cos \left (x \right ) y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.895 |
|
| 11369 |
\begin{align*}
y^{\prime \prime }+\left (3 y+f \left (x \right )\right ) y^{\prime }+y^{3}+f \left (x \right ) y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.895 |
|
| 11370 |
\begin{align*}
x^{\prime }&=-x+y \\
y^{\prime }&=x-2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.895 |
|
| 11371 |
\begin{align*}
x y^{\prime \prime }+2 y^{\prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.895 |
|
| 11372 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=15 \,{\mathrm e}^{-x} \sqrt {x +1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.896 |
|
| 11373 |
\begin{align*}
y^{\prime \prime \prime }&=x^{2}+{\mathrm e}^{-x} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.896 |
|
| 11374 |
\begin{align*}
2 x^{2} y^{\prime \prime }+\left (-2 x^{3}+5 x \right ) y^{\prime }+\left (-x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.896 |
|
| 11375 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (x +1\right ) y^{\prime }-4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.897 |
|
| 11376 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }-12 y&=F \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.897 |
|
| 11377 |
\begin{align*}
y^{\prime \prime }-2 \left (x +3\right ) y^{\prime }-3 y&=0 \\
\end{align*}
Series expansion around \(x=-3\). |
✓ |
✓ |
✓ |
✓ |
0.897 |
|
| 11378 |
\begin{align*}
y_{1}^{\prime }&=4 y_{1}-y_{2}-4 y_{3} \\
y_{2}^{\prime }&=4 y_{1}-3 y_{2}-2 y_{3} \\
y_{3}^{\prime }&=y_{1}-y_{2}-y_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.898 |
|
| 11379 |
\begin{align*}
{y^{\prime }}^{2}+y^{2}&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.898 |
|
| 11380 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}+2 x_{2}+6 x_{3} \\
x_{2}^{\prime }&=-2 x_{1}+x_{2}-2 x_{3} \\
x_{3}^{\prime }&=-x_{1}-2 x_{2}-4 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.898 |
|
| 11381 |
\begin{align*}
x y^{\prime \prime }-\left (x -1\right ) y^{\prime }-y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.898 |
|
| 11382 |
\begin{align*}
\sqrt {y}\, y^{\prime \prime }&=2 b x +2 a \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
0.898 |
|
| 11383 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.898 |
|
| 11384 |
\begin{align*}
{y^{\prime }}^{2}+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.898 |
|
| 11385 |
\begin{align*}
y^{\prime }&=\frac {2 x y^{2}+4 y \ln \left (2 x +1\right ) x +2 \ln \left (2 x +1\right )^{2} x +y^{2}-2+\ln \left (2 x +1\right )^{2}+2 y \ln \left (2 x +1\right )}{2 x +1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.898 |
|
| 11386 |
\begin{align*}
x^{4} y^{\prime \prime }-x^{2} y^{\prime } \left (x +y^{\prime }\right )+4 y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.898 |
|
| 11387 |
\begin{align*}
x^{\prime }&=4 x-5 y+4 t -1 \\
y^{\prime }&=x-2 y+t \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.898 |
|
| 11388 |
\begin{align*}
y^{\prime \prime }+y&=\cot \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.898 |
|
| 11389 |
\begin{align*}
x^{\prime }&=x-y-z \\
y^{\prime }&=y+3 z \\
z^{\prime }&=3 y+z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.898 |
|
| 11390 |
\begin{align*}
t^{2} y^{\prime \prime }+t \left (1-2 t \right ) y^{\prime }+\left (t^{2}-t +1\right ) y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.898 |
|
| 11391 |
\(\left [\begin {array}{cccc} 5 & 0 & 0 & 0 \\ 0 & 0 & -1 & 0 \\ 0 & -1 & 0 & 0 \\ 0 & 0 & 0 & 0 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.898 |
|
| 11392 |
\begin{align*}
\left (x^{2}+1\right ) \left ({y^{\prime }}^{2}-y y^{\prime \prime }\right )&=x y y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.898 |
|
| 11393 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=15 \,{\mathrm e}^{-2 x} \ln \left (x \right )+25 \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.899 |
|
| 11394 |
\begin{align*}
\left (x +a \right )^{2} y^{\prime \prime \prime \prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.899 |
|
| 11395 |
\begin{align*}
x y^{\prime \prime }+2 y^{\prime }-y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.899 |
|
| 11396 |
\begin{align*}
x^{\prime }+y&=t^{2} \\
-x+y^{\prime }&=t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.899 |
|
| 11397 |
\begin{align*}
y^{\prime \prime }-y&=\frac {1}{{\mathrm e}^{2 x}+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.899 |
|
| 11398 |
\begin{align*}
4 z y^{\prime \prime }+2 \left (1-z \right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(z=0\). |
✓ |
✓ |
✓ |
✓ |
0.900 |
|
| 11399 |
\begin{align*}
{y^{\prime }}^{3}&=b x +a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.900 |
|
| 11400 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+4 x_{2}+4 x_{3} \\
x_{2}^{\prime }&=3 x_{2}+2 x_{3} \\
x_{3}^{\prime }&=2 x_{2}+3 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.900 |
|