| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 11601 |
\begin{align*}
b x y+a y^{\prime }+y^{\prime \prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.779 |
|
| 11602 |
\begin{align*}
-\left (a^{2} x^{2}+2\right ) y+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.779 |
|
| 11603 |
\begin{align*}
y^{\prime \prime } x -y^{\prime }&=x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.779 |
|
| 11604 |
\begin{align*}
\left (x^{2}-2 x \right ) y^{\prime \prime }+\left (-x^{2}+2\right ) y^{\prime }+\left (-2+2 x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.779 |
|
| 11605 |
\begin{align*}
2 x^{\prime \prime }+3 x^{\prime }+3 x&=0 \\
x \left (0\right ) &= 1 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.779 |
|
| 11606 |
\begin{align*}
16 y+8 y^{\prime }+y^{\prime \prime }&=x \left (12-{\mathrm e}^{-4 x}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.779 |
|
| 11607 |
\begin{align*}
x^{2} y^{\prime \prime }-6 y&=5 x^{3}+8 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.779 |
|
| 11608 |
\begin{align*}
t^{2} y^{\prime \prime }+3 y^{\prime } t +2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.780 |
|
| 11609 |
\begin{align*}
\left (-a^{2}+b^{2}\right ) y+2 a \cot \left (a x \right ) y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.780 |
|
| 11610 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+2 y&=x^{2}+\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.780 |
|
| 11611 |
\begin{align*}
\left (x^{2}-2 x +10\right ) y^{\prime \prime }+y^{\prime } x -4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.780 |
|
| 11612 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.780 |
|
| 11613 |
\begin{align*}
y^{\prime \prime }+\sin \left (x \right ) y^{\prime }+y {y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.780 |
|
| 11614 |
\begin{align*}
y^{\prime }&=\frac {2}{y}-5 \mu x \\
y \left (1\right ) &= 2 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
1.780 |
|
| 11615 |
\begin{align*}
x^{2} y^{\prime \prime }-y^{\prime } x +\left (2 x^{2}+\frac {5}{9}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.781 |
|
| 11616 |
\begin{align*}
y^{\prime }&=y^{2}-4 y+2 \\
y \left (3\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.782 |
|
| 11617 |
\begin{align*}
y^{\prime }&=\frac {\sin \left (x \right )+\cos \left (x \right ) x}{y \left (2 \ln \left (y\right )+1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.782 |
|
| 11618 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{-x} \left (1+\cos \left (2 x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.782 |
|
| 11619 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.782 |
|
| 11620 |
\begin{align*}
y^{\prime \prime }-5 y^{\prime }+4 y&=5 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.783 |
|
| 11621 |
\begin{align*}
4 y+y^{\prime \prime }&=\csc \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.783 |
|
| 11622 |
\begin{align*}
y^{\prime \prime }+9 y&=\left (1+\sin \left (3 x \right )\right ) \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.784 |
|
| 11623 |
\begin{align*}
x^{2} y^{\prime \prime }-y^{\prime } x +\left (x^{2}+\frac {8}{9}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.785 |
|
| 11624 |
\begin{align*}
2 x^{2} \left (2+x \right ) y^{\prime \prime }-x \left (4-7 x \right ) y^{\prime }-\left (5-3 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.786 |
|
| 11625 |
\begin{align*}
y {y^{\prime }}^{2}+x^{3} y^{\prime }-x^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.786 |
|
| 11626 |
\begin{align*}
y^{\prime \prime }+\cos \left (x \right ) y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.786 |
|
| 11627 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=x +{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.786 |
|
| 11628 |
\begin{align*}
y^{\prime \prime }-y&=\frac {1}{{\mathrm e}^{x}+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.786 |
|
| 11629 |
\(\left [\begin {array}{cc} -5 & 3 \\ 0 & 9 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
1.786 |
|
| 11630 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=3 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.787 |
|
| 11631 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.787 |
|
| 11632 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (3 x^{2}+a \right ) y^{\prime }}{x^{3}}-\frac {b y}{x^{6}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.788 |
|
| 11633 |
\begin{align*}
x^{2} y^{\prime \prime }-y^{\prime } x +y&=0 \\
y \left (-1\right ) &= 0 \\
y^{\prime }\left (-1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.788 |
|
| 11634 |
\begin{align*}
y^{\prime \prime }+y&=3 x^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.788 |
|
| 11635 |
\begin{align*}
-\left (i x^{2}+p^{2}\right ) y+y^{\prime } x +x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.789 |
|
| 11636 |
\begin{align*}
y^{\prime \prime }-y^{\prime } x +x^{2} y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.789 |
|
| 11637 |
\begin{align*}
x^{\prime }&=2 x+y-2 z+2-t \\
y^{\prime }&=1-x \\
z^{\prime }&=x+y-z+1-t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.789 |
|
| 11638 |
\begin{align*}
y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y&=12 \,{\mathrm e}^{-t} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= -3 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.789 |
|
| 11639 |
\begin{align*}
x_{1}^{\prime }&=-2 x_{1}+x_{2}+2 \,{\mathrm e}^{-t} \\
x_{2}^{\prime }&=x_{1}-2 x_{2}+3 t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.790 |
|
| 11640 |
\begin{align*}
x&={y^{\prime }}^{2}-2 y^{\prime }+2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.790 |
|
| 11641 |
\begin{align*}
y^{\prime }&=f \left (a +b x +c y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.791 |
|
| 11642 |
\begin{align*}
\cos \left (x \right ) y^{\prime \prime }&=y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.791 |
|
| 11643 |
\begin{align*}
y^{\prime }&=x^{2}-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.792 |
|
| 11644 |
\begin{align*}
y^{\prime }&=\left (4 x +y\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.792 |
|
| 11645 |
\begin{align*}
x_{1}^{\prime }&=x_{2} \\
x_{2}^{\prime }&=6 x_{1}+4 \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 0 \\
x_{2} \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.792 |
|
| 11646 |
\begin{align*}
y^{\prime \prime }-9 y^{\prime }+18 y&=54 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= -3 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.792 |
|
| 11647 |
\begin{align*}
x^{\prime }&=3 x-2 y \\
y^{\prime }&=4 x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.792 |
|
| 11648 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }&=18 x -10 \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.793 |
|
| 11649 |
\begin{align*}
t x^{\prime \prime }&=t x+1 \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Series expansion around \(t=0\). |
✗ |
✗ |
✗ |
✗ |
1.793 |
|
| 11650 |
\begin{align*}
y^{\prime \prime }-y&=6 \,{\mathrm e}^{t} \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 3 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.793 |
|
| 11651 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }&=2 x \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= -{\frac {1}{2}} \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.793 |
|
| 11652 |
\begin{align*}
y^{\prime }-7 y&=-x^{4}+2 \\
y \left (0\right ) &= a \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.793 |
|
| 11653 |
\begin{align*}
y^{\prime \prime }+i y^{\prime }+2 y&=2 \cosh \left (2 x \right )+{\mathrm e}^{-2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.794 |
|
| 11654 |
\begin{align*}
y^{\prime } x +2&=\sqrt {x} \\
y \left (1\right ) &= 6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.794 |
|
| 11655 |
\begin{align*}
y^{\prime \prime }-\frac {y^{\prime }}{x}+\left (1-\frac {m^{2}}{x^{2}}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.794 |
|
| 11656 |
\begin{align*}
y^{\prime \prime }+k^{2} y&=\sin \left (b x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.794 |
|
| 11657 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=3 \,{\mathrm e}^{2 x}+x^{2}-\cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.795 |
|
| 11658 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+5 \left (x +1\right ) y^{\prime }+\left (x^{2}-x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.795 |
|
| 11659 |
\begin{align*}
2 x^{3} y^{\prime \prime }+x^{2} \left (9+2 y x \right ) y^{\prime }+b +x y \left (a +3 y x -2 y^{2} x^{2}\right )&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.795 |
|
| 11660 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+8 y&={\mathrm e}^{-t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.796 |
|
| 11661 |
\begin{align*}
x^{\prime }+y^{\prime }-x-3 y&=3 t \\
x^{\prime }+2 y^{\prime }-2 x-3 y&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.797 |
|
| 11662 |
\begin{align*}
y^{\prime }-{\mathrm e}^{x} y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.797 |
|
| 11663 |
\begin{align*}
x^{\prime }&=2 x+2 y-z \\
y^{\prime }&=y+z \\
z^{\prime }&=z-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.797 |
|
| 11664 |
\begin{align*}
y y^{\prime }&=x +y^{2}-y^{2} {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.798 |
|
| 11665 |
\begin{align*}
2 x^{2} y^{\prime \prime }+y^{\prime } x +\left (2 x^{2}-3\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.798 |
|
| 11666 |
\begin{align*}
t^{2} x^{\prime \prime }-3 t x^{\prime }+\left (4-t \right ) x&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✗ |
1.798 |
|
| 11667 |
\begin{align*}
{y^{\prime }}^{3}+x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.799 |
|
| 11668 |
\begin{align*}
y^{\prime }&=a x +b y+c \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.799 |
|
| 11669 |
\begin{align*}
y^{\prime \prime }&=y^{\prime } x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.799 |
|
| 11670 |
\begin{align*}
{y^{\prime }}^{4}-\left (y-a \right )^{3} \left (y-b \right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.800 |
|
| 11671 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+2 x_{2} \\
x_{2}^{\prime }&=4 x_{1}+x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.800 |
|
| 11672 |
\begin{align*}
y^{\prime \prime }+8 y&=t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.800 |
|
| 11673 |
\begin{align*}
y^{\prime }&=2 y-4 \\
y \left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.801 |
|
| 11674 |
\begin{align*}
x^{\prime }&=x-4 y+\cos \left (2 t \right ) \\
y^{\prime }&=x+y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.801 |
|
| 11675 |
\begin{align*}
x_{1}^{\prime }&=-3 x_{1}+4 x_{2} \\
x_{2}^{\prime }&=-x_{1}-2 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.801 |
|
| 11676 |
\begin{align*}
\left (y^{4} x^{4}+y^{2} x^{2}+y x \right ) y+\left (y^{4} x^{4}-y^{2} x^{2}+y x \right ) x y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.802 |
|
| 11677 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.802 |
|
| 11678 |
\begin{align*}
y^{\prime \prime }-5 y^{\prime }+6 y&=12 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.802 |
|
| 11679 |
\begin{align*}
y x +y^{\prime } x&=1-y \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.803 |
|
| 11680 |
\begin{align*}
y^{\prime \prime }&=\frac {\left (7 a \,x^{2}+5\right ) y^{\prime }}{x \left (a \,x^{2}+1\right )}-\frac {\left (15 a \,x^{2}+5\right ) y}{x^{2} \left (a \,x^{2}+1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.803 |
|
| 11681 |
\begin{align*}
y^{\prime \prime }+y&=x \,{\mathrm e}^{x} \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.803 |
|
| 11682 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&={\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.803 |
|
| 11683 |
\begin{align*}
2 x^{2} y^{\prime \prime }-3 y^{\prime } x -18 y&=\ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.804 |
|
| 11684 |
\begin{align*}
x^{\prime \prime }+\frac {x^{\prime }}{8}+x&=0 \\
x \left (0\right ) &= 2 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.806 |
|
| 11685 |
\begin{align*}
v^{\prime \prime }+v&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.806 |
|
| 11686 |
\begin{align*}
\left (-y+y^{\prime } x \right )^{2}+x^{2} y y^{\prime \prime }&=3 y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.807 |
|
| 11687 |
\begin{align*}
4 y^{\prime \prime }-y&=0 \\
y \left (-2\right ) &= 1 \\
y^{\prime }\left (-2\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.808 |
|
| 11688 |
\begin{align*}
x^{2} y^{\prime \prime }+x^{3} y^{\prime }+\left (x^{2}-2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.808 |
|
| 11689 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+20 y&=x^{3} \sin \left (4 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.808 |
|
| 11690 |
\begin{align*}
x^{4} {y^{\prime }}^{2}+2 y y^{\prime } x^{3}-4&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.809 |
|
| 11691 |
\begin{align*}
\left (2+x \right ) y^{\prime \prime }+y^{\prime } x +3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.809 |
|
| 11692 |
\begin{align*}
e y^{\prime \prime }&=-P L +\left (w L +P \right ) x -\frac {w \left (L^{2}+x^{2}\right )}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.809 |
|
| 11693 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y^{\prime } x +2 y&=0 \\
y \left (1\right ) &= 3 \\
y^{\prime }\left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.810 |
|
| 11694 |
\begin{align*}
x^{\prime \prime }+x^{\prime }+4 x&=0 \\
x \left (0\right ) &= 1 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.810 |
|
| 11695 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+5 y&={\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.810 |
|
| 11696 |
\begin{align*}
y^{2} \left (1+{y^{\prime }}^{2}\right )&=a^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.811 |
|
| 11697 |
\begin{align*}
x^{\prime }&=y \\
y^{\prime }&=-x \\
z^{\prime }&=2 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.811 |
|
| 11698 |
\begin{align*}
2 x^{2} y^{\prime \prime }-y^{\prime } x +\left (-x^{2}+1\right ) y&=x^{2} \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.812 |
|
| 11699 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (x^{2}+\frac {1}{4}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.812 |
|
| 11700 |
\begin{align*}
y^{\prime \prime }+y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.812 |
|