| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 11401 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }&=12 x -10 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.849 |
|
| 11402 |
\begin{align*}
4 x^{2} y^{\prime \prime }+\left (2 x^{4}-5 x \right ) y^{\prime }+\left (3 x^{2}+2\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.849 |
|
| 11403 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+13 y&=\delta \left (t -1\right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.849 |
|
| 11404 |
\begin{align*}
y^{\prime \prime }-y&=\cosh \left (x \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.850 |
|
| 11405 |
\begin{align*}
y^{\prime \prime }+9 y&=\sec \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.850 |
|
| 11406 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (x +1\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.850 |
|
| 11407 |
\begin{align*}
{y^{\prime }}^{3}-\left (2 x +y^{2}\right ) {y^{\prime }}^{2}+\left (x^{2}-y^{2}+2 x y^{2}\right ) y^{\prime }-\left (x^{2}-y^{2}\right ) y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.850 |
|
| 11408 |
\begin{align*}
4 y+y^{\prime \prime }&=\sec \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.850 |
|
| 11409 |
\begin{align*}
x^{\prime \prime }+4 x^{\prime }+4 x&={\mathrm e}^{2 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.850 |
|
| 11410 |
\begin{align*}
x^{2} y^{\prime \prime }-y^{\prime } x +\frac {y}{1-x}&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.850 |
|
| 11411 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+x_{2}+x_{3} \\
x_{2}^{\prime }&=2 x_{1}+x_{2}-x_{3} \\
x_{3}^{\prime }&=-8 x_{1}-5 x_{2}-3 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.850 |
|
| 11412 |
\begin{align*}
\left (-b \,x^{2}+a x \right ) y^{\prime \prime }+2 a y^{\prime }+2 b y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.850 |
|
| 11413 |
\begin{align*}
x x^{\prime \prime }-{x^{\prime }}^{2}+{\mathrm e}^{t} x^{2}&=0 \\
x \left (0\right ) &= 1 \\
x^{\prime }\left (0\right ) &= -1 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.850 |
|
| 11414 |
\begin{align*}
8 x^{2} y^{\prime \prime }+10 y^{\prime } x +\left (x -1\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.850 |
|
| 11415 |
\begin{align*}
x^{\prime }&=-y \\
y^{\prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.850 |
|
| 11416 |
\begin{align*}
2 t^{2} y^{\prime \prime }-y^{\prime } t +\left (1+t \right ) y&=0 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.850 |
|
| 11417 |
\begin{align*}
x^{\prime }&=-2 x+y+t \\
y^{\prime }&=-4 x+3 y-1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.851 |
|
| 11418 |
\begin{align*}
y^{\prime \prime }&=-\frac {a y}{x^{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.851 |
|
| 11419 |
\begin{align*}
x^{\prime }&=\ln \left (x^{2}+1\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.851 |
|
| 11420 |
\begin{align*}
x^{2} y^{\prime \prime }+3 y^{\prime } x +\left (1-2 x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.851 |
|
| 11421 |
\begin{align*}
\left ({y^{\prime }}^{2}-y^{2}\right ) {\mathrm e}^{y^{\prime }}-x {y^{\prime }}^{2}+x y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.851 |
|
| 11422 |
\begin{align*}
x^{\prime }&=-x+y \\
y^{\prime }&=-x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.851 |
|
| 11423 |
\begin{align*}
x^{\prime }&=5 x-6 y+1 \\
y^{\prime }&=6 x-7 y+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.851 |
|
| 11424 |
\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*} |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 11425 |
\begin{align*}
2 t^{2} y^{\prime \prime }+3 y^{\prime } t -\left (1+t \right ) y&=0 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 11426 |
\begin{align*}
y^{\prime \prime }-y&=2 \tanh \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 11427 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}-2 x_{2}+x_{3} \\
x_{2}^{\prime }&=x_{1}-4 x_{2}+x_{3} \\
x_{3}^{\prime }&=2 x_{1}+2 x_{2}-3 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 11428 |
\begin{align*}
b y+2 x^{2} \left (a +x \right ) y^{\prime }+x^{4} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.852 |
|
| 11429 |
\begin{align*}
\left (x^{2}+x -6\right ) y^{\prime \prime }+\left (x +3\right ) y^{\prime }+\left (x -2\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 11430 |
\begin{align*}
x^{2} y^{\prime \prime }+a \left (-y+y^{\prime } x \right )^{2}-b \,x^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.852 |
|
| 11431 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+58 y&=0 \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 11432 |
\begin{align*}
T^{\prime }&={\mathrm e}^{-t} \sin \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 11433 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.852 |
|
| 11434 |
\begin{align*}
x^{2} \left (6+x \right ) y^{\prime \prime }+x \left (11+4 x \right ) y^{\prime }+\left (2 x +1\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.853 |
|
| 11435 |
\begin{align*}
2 y^{\prime \prime }+y^{\prime } x +3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.853 |
|
| 11436 |
\begin{align*}
x^{\prime }&=-5 x-y+2 \\
y^{\prime }&=3 x-y-3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.853 |
|
| 11437 |
\begin{align*}
\left (-2-2 x \right ) y^{\prime \prime }+2 y^{\prime }+4 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.853 |
|
| 11438 |
\begin{align*}
x^{\prime \prime }&=x-x^{3} \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.853 |
|
| 11439 |
\begin{align*}
x^{\prime }+x+2 y^{\prime }+3 y&=0 \\
x^{\prime }-2 x+5 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.853 |
|
| 11440 |
\begin{align*}
y^{\prime }&=y^{2} \left (4-y^{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.854 |
|
| 11441 |
\begin{align*}
y^{\prime \prime }+{\mathrm e}^{x} y^{\prime }-y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.854 |
|
| 11442 |
\begin{align*}
{y^{\prime }}^{2}+2 y y^{\prime } \cot \left (x \right )-y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.854 |
|
| 11443 |
\begin{align*}
x^{3} y^{\prime \prime }+x^{2} y^{\prime }+y&=0 \\
\end{align*} Series expansion around \(x=2\). |
✓ |
✓ |
✓ |
✓ |
0.854 |
|
| 11444 |
\begin{align*}
y^{\prime \prime }-11 y^{\prime }+30 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.854 |
|
| 11445 |
\begin{align*}
y^{\prime \prime }+b y^{\prime }+y&=\cos \left (t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.854 |
|
| 11446 |
\begin{align*}
x^{2} \left (8+x \right ) y^{\prime \prime }+x \left (3 x +2\right ) y^{\prime }+\left (x +1\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.855 |
|
| 11447 |
\begin{align*}
x^{2} y^{\prime \prime }+5 y^{\prime } x +\left (-x^{3}+3\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.855 |
|
| 11448 |
\begin{align*}
y^{\prime \prime }+y&=\cot \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.855 |
|
| 11449 |
\begin{align*}
x^{\prime \prime }+2 x^{\prime }+x&={\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.855 |
|
| 11450 |
\begin{align*}
x_{1}^{\prime }&=-k_{1} x_{1} \\
x_{2}^{\prime }&=k_{1} x_{1}-k_{2} x_{2} \\
x_{3}^{\prime }&=k_{2} x_{2} \\
\end{align*} With initial conditions \begin{align*}
x_{1} \left (0\right ) &= m_{0} \\
x_{2} \left (0\right ) &= 0 \\
x_{3} \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.855 |
|
| 11451 |
\begin{align*}
x^{\prime }&=y+z \\
y^{\prime }&=x+z \\
z^{\prime }&=x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.855 |
|
| 11452 |
\begin{align*}
y^{\prime \prime }+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.855 |
|
| 11453 |
\begin{align*}
x^{2} \left (-x^{2}+2\right ) y^{\prime \prime }-x \left (4 x^{2}+3\right ) y^{\prime }+\left (2 x +2\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.856 |
|
| 11454 |
\begin{align*}
2 x^{2} y^{\prime \prime }+5 y^{\prime } x +\left (x +1\right ) y&=x \left (x^{2}+x +1\right ) \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.856 |
|
| 11455 |
\begin{align*}
x_{1}^{\prime }&=-x_{2} \\
x_{2}^{\prime }&=x_{1} \\
x_{3}^{\prime }&=x_{2}-x_{4} \\
x_{4}^{\prime }&=x_{2}+x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.856 |
|
| 11456 |
\begin{align*}
y^{\prime }&=\sin \left (x \right ) \left (2 \sec \left (x \right )^{2}-y^{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.856 |
|
| 11457 |
\begin{align*}
y^{\prime }-y&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.856 |
|
| 11458 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }+y^{\prime }+y&=x \,{\mathrm e}^{x} \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.856 |
|
| 11459 |
\begin{align*}
x^{2} {y^{\prime }}^{2}-\left (x -1\right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.856 |
|
| 11460 |
\begin{align*}
x^{\prime }&=3 y \\
y^{\prime }&=3 \pi y-\frac {x}{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.856 |
|
| 11461 |
\begin{align*}
y^{\prime \prime } y^{\prime \prime \prime }&=2 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.856 |
|
| 11462 |
\begin{align*}
y^{\prime \prime }+\left (x +3\right ) y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.856 |
|
| 11463 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime } x +4 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.856 |
|
| 11464 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }&=0 \\
y \left (0\right ) &= 4 \\
y^{\prime }\left (0\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.857 |
|
| 11465 |
\begin{align*}
\tan \left (y^{\prime }\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.857 |
|
| 11466 |
\begin{align*}
x&=y^{\prime \prime }+y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.857 |
|
| 11467 |
\begin{align*}
4 y+y^{\prime \prime }&=x \sin \left (x \right ) \\
y \left (0\right ) &= {\frac {7}{9}} \\
y \left (\frac {\pi }{2}\right ) &= \frac {\pi }{6}-1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.857 |
|
| 11468 |
\begin{align*}
x_{1}^{\prime }&=-3 x_{1}+4 x_{2} \\
x_{2}^{\prime }&=-2 x_{1}+3 x_{2} \\
\end{align*} With initial conditions \begin{align*}
x_{1} \left (0\right ) &= -1 \\
x_{2} \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.857 |
|
| 11469 |
\begin{align*}
y^{\prime }&=\frac {t^{2}+1}{t \left (-2+t \right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.857 |
|
| 11470 |
\begin{align*}
y^{\prime }&=x -y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.858 |
|
| 11471 |
\begin{align*}
t^{2} y^{\prime \prime }-y^{\prime } t -\left (t^{2}+\frac {5}{4}\right ) y&=0 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.858 |
|
| 11472 |
\begin{align*}
x^{\prime \prime }-2 x^{\prime }+2 x&={\mathrm e}^{-t} \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.858 |
|
| 11473 |
\begin{align*}
x^{2} y^{\prime \prime }-5 y^{\prime } x +9 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.858 |
|
| 11474 |
\begin{align*}
y^{\prime \prime } x -\left (x +n \right ) y^{\prime }+n y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.858 |
|
| 11475 |
\begin{align*}
x^{\prime }+2 y&=4 \,{\mathrm e}^{2 t} \\
x+y^{\prime }-y&=2 \,{\mathrm e}^{2 t} \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 7 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.858 |
|
| 11476 |
\begin{align*}
x^{2} \left (2+x \right ) y^{\prime \prime }+5 x \left (1-x \right ) y^{\prime }-\left (2-8 x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.859 |
|
| 11477 |
\begin{align*}
x^{2} \left (2 x +1\right ) y^{\prime \prime }+x \left (3 x^{2}+14 x +5\right ) y^{\prime }+\left (12 x^{2}+18 x +4\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.859 |
|
| 11478 |
\begin{align*}
x^{2} \left (2 x +1\right ) y^{\prime \prime }+x \left (5+9 x \right ) y^{\prime }+\left (3 x +4\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.859 |
|
| 11479 |
\begin{align*}
x^{\prime }&=x+2 y \\
y^{\prime }&=3 x+2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.859 |
|
| 11480 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (x^{2}-3 x \right ) y^{\prime }+\left (x +4\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.859 |
|
| 11481 |
\begin{align*}
4 y^{\prime \prime }+7 y^{\prime }+3 y&=5 \cos \left (t \right ) \\
y \left (0\right ) &= -3 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.859 |
|
| 11482 |
\begin{align*}
y^{\prime \prime } x&=y^{\prime } \left (2-3 y^{\prime } x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.860 |
|
| 11483 |
\begin{align*}
2 y+y^{\prime }&=\left \{\begin {array}{cc} 2 & 0\le x <1 \\ 1 & 1\le x \end {array}\right . \\
y \left (0\right ) &= 1 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
0.860 |
|
| 11484 |
\begin{align*}
x^{\prime }+x+y&=t^{2} \\
y^{\prime }+y+z&=2 t \\
z^{\prime }+z&=t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.860 |
|
| 11485 |
\begin{align*}
{y^{\prime }}^{2}+4 x^{5} y^{\prime }-12 x^{4} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.861 |
|
| 11486 |
\begin{align*}
x^{6} {y^{\prime }}^{3}-3 y^{\prime } x -3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.861 |
|
| 11487 |
\(\left [\begin {array}{ccc} 1 & -1 & -1 \\ 1 & 3 & 1 \\ -3 & 1 & -1 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.861 |
|
| 11488 |
\begin{align*}
y^{\prime \prime } x +\left (x +3\right ) y^{\prime }+2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.861 |
|
| 11489 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=-\cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.861 |
|
| 11490 |
\begin{align*}
x_{1}^{\prime }&=x_{1} \\
x_{2}^{\prime }&=2 x_{1}+2 x_{2} \\
x_{3}^{\prime }&=3 x_{2}+3 x_{3} \\
x_{4}^{\prime }&=4 x_{3}+4 x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 11491 |
\begin{align*}
x \left (x +1\right ) y^{\prime \prime }-4 y^{\prime }-2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.862 |
|
| 11492 |
\begin{align*}
x^{2} \left (x +1\right ) y^{\prime \prime }-x \left (6+11 x \right ) y^{\prime }+\left (6+32 x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.862 |
|
| 11493 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (x^{2}-\frac {1}{4}\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 11494 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (1-x \right ) y^{\prime }+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.862 |
|
| 11495 |
\begin{align*}
y^{\prime \prime }-y x -x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 11496 |
\begin{align*}
y^{\prime }+3 y&=\delta \left (x -2\right ) \\
y \left (0\right ) &= 1 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 11497 |
\begin{align*}
4 y^{\prime \prime }+\frac {\left (4 x -3\right ) y}{\left (x -1\right )^{2}}&=0 \\
\end{align*} Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 11498 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y^{\prime } x +\left (-x^{2}+2\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 11499 |
\begin{align*}
y^{\prime \prime }+4 y&=\left \{\begin {array}{cc} t & 0\le t <1 \\ 1 & 1\le t \end {array}\right . \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.862 |
|
| 11500 |
\begin{align*}
t^{2} y^{\prime \prime }+t^{2} y^{\prime }-2 y&=0 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.862 |
|