| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 10301 |
\begin{align*}
4 x^{2} \sin \left (x \right ) y^{\prime \prime }-4 x \left (\sin \left (x \right )+x \cos \left (x \right )\right ) y^{\prime }+\left (2 x \cos \left (x \right )+3 \sin \left (x \right )\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.775 |
|
| 10302 |
\begin{align*}
x^{\prime }&=x-2 y \\
y^{\prime }&=4 x+5 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.775 |
|
| 10303 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&={\mathrm e}^{{\mathrm e}^{x}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.775 |
|
| 10304 |
\begin{align*}
x^{2} y^{\prime \prime }-x y^{\prime }+\frac {y}{1-x}&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.775 |
|
| 10305 |
\begin{align*}
4 y+y^{\prime \prime }&=\sin \left (2 x \right ) x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.775 |
|
| 10306 |
\begin{align*}
\left (x^{2}+4\right ) y^{\prime \prime }+y&=x \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.775 |
|
| 10307 |
\begin{align*}
x y^{\prime \prime }+x^{2} y^{\prime }+\left ({\mathrm e}^{x}-1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.776 |
|
| 10308 |
\begin{align*}
x^{2} \left (1-2 x \right ) y^{\prime \prime }-x \left (5-4 x \right ) y^{\prime }+\left (9-4 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.776 |
|
| 10309 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+{\mathrm e}^{-t} y&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.776 |
|
| 10310 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}+2 x_{2}+4 x_{3} \\
x_{2}^{\prime }&=2 x_{1}+2 x_{3} \\
x_{3}^{\prime }&=4 x_{1}+2 x_{2}+3 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.776 |
|
| 10311 |
\begin{align*}
x_{1}^{\prime }&=x_{1}-3 x_{2}+2 x_{3} \\
x_{2}^{\prime }&=-x_{2} \\
x_{3}^{\prime }&=-x_{2}-2 x_{3} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= -2 \\
x_{2} \left (0\right ) &= 0 \\
x_{3} \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.776 |
|
| 10312 |
\begin{align*}
x_{1}^{\prime }&=-4 x_{1}-4 x_{2} \\
x_{2}^{\prime }&=10 x_{1}+9 x_{2}+x_{3} \\
x_{3}^{\prime }&=-4 x_{1}-3 x_{2}+x_{3} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 2 \\
x_{2} \left (0\right ) &= 1 \\
x_{3} \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.776 |
|
| 10313 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+\left (4 x -1\right ) y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.776 |
|
| 10314 |
\begin{align*}
{y^{\prime }}^{2}-4 \left (x +1\right ) y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.776 |
|
| 10315 |
\begin{align*}
5 y+2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{x} \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.776 |
|
| 10316 |
\begin{align*}
x^{\prime }&=x \\
y^{\prime }&=3 y+z \\
z^{\prime }&=-y+z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.776 |
|
| 10317 |
\begin{align*}
y^{\prime \prime }-4 x y^{\prime }+\left (4 x^{2}-3\right ) y&={\mathrm e}^{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.776 |
|
| 10318 |
\begin{align*}
x y^{\prime \prime }-2 \left (a x +b \right ) y^{\prime }+\left (a^{2} x +2 a b \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.776 |
|
| 10319 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+4 x y^{\prime }+\left (x^{2}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.776 |
|
| 10320 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }-7 y&=4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.776 |
|
| 10321 |
\begin{align*}
2 y^{\prime \prime }&=\frac {y^{\prime }}{x}+\frac {x^{2}}{y^{\prime }} \\
y \left (1\right ) &= \frac {\sqrt {2}}{5} \\
y^{\prime }\left (1\right ) &= \frac {\sqrt {2}}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.776 |
|
| 10322 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=\left (x^{2}+x \right ) {\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.776 |
|
| 10323 |
\begin{align*}
y^{\prime \prime }+4 y&=3 \,{\mathrm e}^{-2 t} \sin \left (2 t \right ) \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.776 |
|
| 10324 |
\begin{align*}
y^{\prime }&=2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.776 |
|
| 10325 |
\begin{align*}
x^{\prime }&=x-y+2 z \\
y^{\prime }&=-x+y+2 z \\
z^{\prime }&=x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.776 |
|
| 10326 |
\begin{align*}
x^{2} y^{\prime \prime }-6 y&=0 \\
y \left (1\right ) &= 2 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.776 |
|
| 10327 |
\begin{align*}
x y^{\prime \prime }+\left (1-x \right ) y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.776 |
|
| 10328 |
\begin{align*}
y^{\prime }&=-3 y+z-w \\
z^{\prime }&=5 y-z-7 w \\
w^{\prime }&=-y+z-3 w \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.776 |
|
| 10329 |
\begin{align*}
x^{2} \left (1-2 x \right ) y^{\prime \prime }+3 x y^{\prime }+\left (1+4 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.777 |
|
| 10330 |
\begin{align*}
y^{\prime \prime }+y&=\csc \left (x \right )+2 x^{2}+5 x +1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.777 |
|
| 10331 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }-y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.777 |
|
| 10332 |
\begin{align*}
y^{\prime \prime }+5 y^{\prime }+6 y&={\mathrm e}^{-2 x} \sec \left (x \right )^{2} \left (1+2 \tan \left (x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.777 |
|
| 10333 |
\begin{align*}
y^{\prime }&=x \\
y \left (0\right ) &= -3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.777 |
|
| 10334 |
\begin{align*}
y^{\prime \prime }+\sin \left (x \right ) y^{\prime }+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.777 |
|
| 10335 |
\begin{align*}
y y^{\prime \prime }-{y^{\prime }}^{2}+{\mathrm e}^{x} y \left (c y^{2}+d \right )+{\mathrm e}^{2 x} \left (b +y^{4} a \right )&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.777 |
|
| 10336 |
\begin{align*}
4 y+y^{\prime \prime }&=\csc \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.777 |
|
| 10337 |
\begin{align*}
4 x^{2} y^{\prime \prime }+8 x y^{\prime }+\left (1-4 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.777 |
|
| 10338 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right )^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.777 |
|
| 10339 |
\begin{align*}
t x^{\prime \prime }&=x^{\prime } \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.777 |
|
| 10340 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.777 |
|
| 10341 |
\begin{align*}
x^{\prime }&=-10 x+y+7 z \\
y^{\prime }&=-9 x+4 y+5 z \\
z^{\prime }&=-17 x+y+12 z \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 6 \\
y \left (0\right ) &= 1 \\
z \left (0\right ) &= 10 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.777 |
|
| 10342 |
\begin{align*}
\left (t^{2}+1\right ) y^{\prime \prime }-4 t y^{\prime }+6 y&=2 t \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.777 |
|
| 10343 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+3 y&=4 \cos \left (3 t \right ) \\
y \left (0\right ) &= 6 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.777 |
|
| 10344 |
\begin{align*}
y^{\prime \prime }+y&={\mathrm e}^{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.778 |
|
| 10345 |
\begin{align*}
y^{\prime \prime }+9 y&=\sin \left (3 t \right ) \\
y \left (0\right ) &= 6 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.778 |
|
| 10346 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+3 x y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.778 |
|
| 10347 |
\begin{align*}
x^{2} \left (-x^{2}+1\right ) y^{\prime \prime }+2 x y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.779 |
|
| 10348 |
\begin{align*}
x^{2} \left (1-x \right ) y^{\prime \prime }-x \left (3-5 x \right ) y^{\prime }+\left (4-5 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.779 |
|
| 10349 |
\begin{align*}
y^{\prime \prime }+5 y^{\prime }+4 y&=F \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.779 |
|
| 10350 |
\begin{align*}
\cos \left (x \right ) y^{\prime \prime }-y \sin \left (x \right )&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.779 |
|
| 10351 |
\begin{align*}
{y^{\prime \prime }}^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.779 |
|
| 10352 |
\begin{align*}
y^{\prime \prime }-x y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.779 |
|
| 10353 |
\begin{align*}
x y^{\prime \prime \prime }+x y^{\prime }&=4 \\
y \left (1\right ) &= 0 \\
y^{\prime }\left (1\right ) &= 1 \\
y^{\prime \prime }\left (1\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.779 |
|
| 10354 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (-x^{4}+x \right ) y^{\prime }+3 x^{3} y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.779 |
|
| 10355 |
\begin{align*}
y^{\prime }&=y \sin \left (x \right ) \\
y \left (0\right ) &= 1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.779 |
|
| 10356 |
\begin{align*}
x^{2} y^{\prime \prime }-x y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.779 |
|
| 10357 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=3 \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.779 |
|
| 10358 |
\begin{align*}
x^{\prime }&=2 y+z \\
y^{\prime }&=-x-3 y-z \\
z^{\prime }&=x+y-z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.780 |
|
| 10359 |
\begin{align*}
4 y+y^{\prime \prime }&=8 \sin \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.780 |
|
| 10360 |
\begin{align*}
2 {y^{\prime }}^{2}-\left (1-x \right ) y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.780 |
|
| 10361 |
\begin{align*}
x y {y^{\prime }}^{2}-\left (x^{2}-y^{2}\right ) y^{\prime }-y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.780 |
|
| 10362 |
\begin{align*}
6 x y^{\prime \prime }+6 x^{2} y^{\prime \prime \prime }+x^{3} y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.780 |
|
| 10363 |
\begin{align*}
y^{\prime \prime }&={y^{\prime }}^{2} x \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= {\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.780 |
|
| 10364 |
\begin{align*}
y^{\prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.780 |
|
| 10365 |
\begin{align*}
4 x^{2} y^{\prime \prime }+8 x y^{\prime }-\left (4 x^{2}+12 x +3\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.780 |
|
| 10366 |
\begin{align*}
x^{\prime \prime }+x^{\prime }+x&=t^{2} {\mathrm e}^{3 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.780 |
|
| 10367 |
\begin{align*}
x^{\prime }&=x+y+{\mathrm e}^{t} \\
y^{\prime }&=x+y-{\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.780 |
|
| 10368 |
\begin{align*}
y^{\prime \prime }+y&=10 \,{\mathrm e}^{2 x} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.780 |
|
| 10369 |
\begin{align*}
y_{1}^{\prime }&=-y_{1}+3 y_{3} \\
y_{2}^{\prime }&=2 y_{2} \\
y_{3}^{\prime }&=y_{3} \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 1 \\
y_{2} \left (0\right ) &= 1 \\
y_{3} \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.780 |
|
| 10370 |
\begin{align*}
y_{1}^{\prime }&=5 y_{1}+2 y_{2}+t \\
y_{2}^{\prime }&=-8 y_{1}-3 y_{2}-2 t \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 0 \\
y_{2} \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.780 |
|
| 10371 |
\begin{align*}
5 y+4 y^{\prime }+y^{\prime \prime }&=2 x -{\mathrm e}^{-4 x}+\sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.781 |
|
| 10372 |
\begin{align*}
x_{1}^{\prime }&=-x_{1}+2 x_{2}+54 t \,{\mathrm e}^{3 t} \\
x_{2}^{\prime }&=-2 x_{1}+4 x_{2}+9 \,{\mathrm e}^{3 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.781 |
|
| 10373 |
\begin{align*}
x^{2} y^{\prime \prime }+a \left (x y^{\prime }-y\right )^{2}-b \,x^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.781 |
|
| 10374 |
\begin{align*}
2 x^{2} y y^{\prime \prime }-x^{2} \left (1+{y^{\prime }}^{2}\right )+y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.781 |
|
| 10375 |
\begin{align*}
x^{\prime }&=11 x-2 y \\
y^{\prime }&=3 x+4 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.781 |
|
| 10376 |
\begin{align*}
\left (x -4\right ) y^{\prime \prime }+4 y^{\prime }-\frac {4 y}{x -4}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.781 |
|
| 10377 |
\begin{align*}
y^{\prime }&=y^{2} \left (y^{2}-1\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.782 |
|
| 10378 |
\begin{align*}
y^{\prime \prime }+y&=-2 \sin \left (x \right )+4 x \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.782 |
|
| 10379 |
\begin{align*}
\left (2 x +1\right )^{2} y^{\prime \prime }+2 \left (2 x +1\right ) y^{\prime }+16 \left (x +1\right ) x y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.782 |
|
| 10380 |
\begin{align*}
x^{\prime }&=4 x \\
y^{\prime }&=x-2 y \\
z^{\prime }&=x-4 y+z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.782 |
|
| 10381 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+y&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.782 |
|
| 10382 |
\begin{align*}
y^{\prime }&=1+3 x \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.782 |
|
| 10383 |
\begin{align*}
x^{\prime }&=y \\
y^{\prime }&=x+{\mathrm e}^{t}+{\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.782 |
|
| 10384 |
\begin{align*}
y^{\prime \prime \prime }-2 y^{\prime \prime }+4 y^{\prime }-8 y&=64 \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.782 |
|
| 10385 |
\begin{align*}
x^{2} y^{\prime \prime }+x^{2} y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.783 |
|
| 10386 |
\begin{align*}
y_{1}^{\prime }&=-6 y_{1}-4 y_{2}-8 y_{3} \\
y_{2}^{\prime }&=-4 y_{1}-4 y_{3} \\
y_{3}^{\prime }&=-8 y_{1}-4 y_{2}-6 y_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.783 |
|
| 10387 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (2 x^{2}+x \right ) y^{\prime }-4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.783 |
|
| 10388 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-y x -x^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.783 |
|
| 10389 |
\begin{align*}
y^{\prime \prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.783 |
|
| 10390 |
\begin{align*}
x^{\prime }&=2 x \\
y^{\prime }&=3 x-2 y \\
z^{\prime }&=2 y+3 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.783 |
|
| 10391 |
\begin{align*}
x^{\prime \prime }-4 x^{\prime }+4 x&=0 \\
x \left (0\right ) &= -1 \\
x^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.783 |
|
| 10392 |
\begin{align*}
6 y-5 y^{\prime }+y^{\prime \prime }&=2-12 x +6 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.783 |
|
| 10393 |
\begin{align*}
y^{\prime \prime }&=4 x \sqrt {y^{\prime }} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.783 |
|
| 10394 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+y&=2 \,{\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.783 |
|
| 10395 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+y&=3 \,{\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.783 |
|
| 10396 |
\begin{align*}
x y^{\prime \prime }-y^{\prime }+4 x^{3} y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.783 |
|
| 10397 |
\begin{align*}
y^{\prime \prime }-2 b x y^{\prime }+b^{2} x^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.783 |
|
| 10398 |
\begin{align*}
x^{\prime \prime }-3 x&=\sin \left (y \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.783 |
|
| 10399 |
\begin{align*}
4 {y^{\prime }}^{2}-9 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.783 |
|
| 10400 |
\begin{align*}
y&=x y^{\prime }+\frac {3}{{y^{\prime }}^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.784 |
|