| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 11601 |
\begin{align*}
x y^{\prime \prime }&=y^{\prime }-2 x^{2} y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.926 |
|
| 11602 |
\begin{align*}
\left (x^{2}-4\right ) y^{\prime \prime }+16 \left (x +2\right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.926 |
|
| 11603 |
\begin{align*}
y^{\prime \prime }-y&=x +\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.926 |
|
| 11604 |
\begin{align*}
y^{\prime \prime }-y&=\sin \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.926 |
|
| 11605 |
\begin{align*}
\left (2 t +1\right ) y^{\prime \prime }-4 \left (t +1\right ) y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.927 |
|
| 11606 |
\begin{align*}
t^{2} y^{\prime \prime }+t y^{\prime }+\left (t^{2}-v^{2}\right ) y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✗ |
0.927 |
|
| 11607 |
\begin{align*}
4 x^{2} y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}-25\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.927 |
|
| 11608 |
\begin{align*}
x^{4} {y^{\prime }}^{2}-x y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.927 |
|
| 11609 |
\begin{align*}
a \,x^{2} y y^{\prime \prime }+b \,x^{2} {y^{\prime }}^{2}+c x y y^{\prime }+d y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.927 |
|
| 11610 |
\begin{align*}
y^{\prime \prime }-\frac {2 y^{\prime }}{x}+\left (n^{2}+\frac {2}{x^{2}}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.927 |
|
| 11611 |
\begin{align*}
x_{1}^{\prime }&=x_{2} \\
x_{2}^{\prime }&=x_{3} \\
x_{3}^{\prime }&=6 t \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 0 \\
x_{2} \left (0\right ) &= 0 \\
x_{3} \left (0\right ) &= 12 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.927 |
|
| 11612 |
\begin{align*}
y^{2} {y^{\prime }}^{2}-\left (x +1\right ) y y^{\prime }+x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.927 |
|
| 11613 |
\begin{align*}
6 x^{2} y^{\prime \prime }+x \left (10-x \right ) y^{\prime }-\left (x +2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.928 |
|
| 11614 |
\begin{align*}
4 x^{2} \left (x^{2}+1\right ) y^{\prime \prime }+4 x \left (x^{2}+2\right ) y^{\prime }-\left (x^{2}+15\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.928 |
|
| 11615 |
\begin{align*}
2 t^{2} y^{\prime \prime }+\left (t^{2}-t \right ) y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.928 |
|
| 11616 |
\begin{align*}
x y^{\prime \prime }+2 y^{\prime }+4 y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.928 |
|
| 11617 |
\begin{align*}
4 {y^{\prime }}^{2}&=9 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.928 |
|
| 11618 |
\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*} |
✓ |
✓ |
✓ |
✓ |
0.928 |
|
| 11619 |
\begin{align*}
x^{\prime }&=x+y \\
y^{\prime }&=x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.928 |
|
| 11620 |
\begin{align*}
\left (x +3\right ) y^{\prime \prime }+x y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=-3\). |
✓ |
✓ |
✓ |
✓ |
0.928 |
|
| 11621 |
\begin{align*}
x^{\prime }-x-y^{\prime }&=0 \\
y^{\prime }+3 x-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.928 |
|
| 11622 |
\begin{align*}
x^{3} y^{\prime \prime }&=\left (-x y^{\prime }+y\right ) \left (y-x y^{\prime }-x \right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.928 |
|
| 11623 |
\begin{align*}
x_{1}^{\prime }&=5 x_{1}+5 x_{2}+2 x_{3} \\
x_{2}^{\prime }&=-6 x_{1}-6 x_{2}-5 x_{3} \\
x_{3}^{\prime }&=6 x_{1}+6 x_{2}+5 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.929 |
|
| 11624 |
\(\left [\begin {array}{ccc} 1 & -1 & -1 \\ 1 & 3 & 1 \\ -3 & 1 & -1 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.929 |
|
| 11625 |
\begin{align*}
x y^{\prime \prime }-y^{\prime }+4 x^{3} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.929 |
|
| 11626 |
\begin{align*}
t^{2} \left (1-t \right ) y^{\prime \prime }+\left (t^{2}+t \right ) y^{\prime }+\left (1-2 t \right ) y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.929 |
|
| 11627 |
\begin{align*}
y^{\prime \prime }+3 y&=\cos \left (t \right ) t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.929 |
|
| 11628 |
\begin{align*}
x^{2} y^{\prime \prime }-2 x y^{\prime }+\left (x^{2}+2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.930 |
|
| 11629 |
\begin{align*}
x^{2} y^{\prime \prime }+x^{2} y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.930 |
|
| 11630 |
\begin{align*}
x^{\prime }&=2 y \\
y^{\prime }&=-2 x \\
z^{\prime }&=2 h \\
h^{\prime }&=-2 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.931 |
|
| 11631 |
\begin{align*}
2 x^{2} y y^{\prime \prime }&=-y^{2}+{y^{\prime }}^{2} x^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.931 |
|
| 11632 |
\begin{align*}
y^{\prime \prime }+y&=x^{3}-1+2 \cos \left (x \right )+\left (2-4 x \right ) {\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.931 |
|
| 11633 |
\begin{align*}
y^{\prime \prime }&=9 x^{2}+2 x -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.931 |
|
| 11634 |
\begin{align*}
y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.931 |
|
| 11635 |
\begin{align*}
{y^{\prime }}^{2}&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.931 |
|
| 11636 |
\begin{align*}
\left (x +2\right ) y^{\prime }+y&=\left \{\begin {array}{cc} 2 x & 0\le x \le 2 \\ 4 & 2<x \end {array}\right . \\
y \left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.931 |
|
| 11637 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&=27 \,{\mathrm e}^{6 x}+25 \sin \left (6 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.931 |
|
| 11638 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+2 y&=\cos \left (2 x \right )+\sin \left (2 x \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.931 |
|
| 11639 |
\begin{align*}
y^{\prime \prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.931 |
|
| 11640 |
\begin{align*}
y&=x^{6} {y^{\prime }}^{3}-x y^{\prime } \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
0.931 |
|
| 11641 |
\begin{align*}
x^{2} \left (2 x^{2}+1\right ) y^{\prime \prime }+x \left (2 x^{2}+4\right ) y^{\prime }+2 \left (-x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.932 |
|
| 11642 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&=9 x^{2}-12 x +2 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.932 |
|
| 11643 |
\begin{align*}
y^{\prime \prime }+k^{2} y&=\sin \left (b x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.932 |
|
| 11644 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+5 x_{2}-2 x_{3}+6 x_{4} \\
x_{2}^{\prime }&=3 x_{2}+4 x_{4} \\
x_{3}^{\prime }&=3 x_{2}+4 x_{4} \\
x_{4}^{\prime }&=x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.932 |
|
| 11645 |
\begin{align*}
x^{2} y^{\prime \prime }+2 x y^{\prime }-6 y&=0 \\
y \left (2\right ) &= 10 \\
y^{\prime }\left (2\right ) &= 15 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.933 |
|
| 11646 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}-4 x_{2}+3 x_{3} \\
x_{2}^{\prime }&=-9 x_{1}-3 x_{2}-9 x_{3} \\
x_{3}^{\prime }&=4 x_{1}+4 x_{2}+3 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.933 |
|
| 11647 |
\begin{align*}
9 x^{2} y^{\prime \prime }+9 x y^{\prime }+\left (36 x^{4}-16\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.933 |
|
| 11648 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-y x -x^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.933 |
|
| 11649 |
\begin{align*}
y^{\prime \prime \prime }-5 y^{\prime \prime }+7 y^{\prime }-3 y&=20 \sin \left (t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= -2 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.933 |
|
| 11650 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.933 |
|
| 11651 |
\begin{align*}
\left (x +2\right ) y^{\prime \prime }-y^{\prime }+\frac {y}{x +2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.933 |
|
| 11652 |
\begin{align*}
y^{\prime }&=\ln \left (y\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.933 |
|
| 11653 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y&=\sin \left (\ln \left (x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.933 |
|
| 11654 |
\begin{align*}
t^{2} y^{\prime \prime }+t \left (t +1\right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.934 |
|
| 11655 |
\begin{align*}
3 x^{2} y^{\prime \prime }+\left (-x^{2}+5 x \right ) y^{\prime }+\left (2 x^{2}-1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.934 |
|
| 11656 |
\begin{align*}
x^{2} y^{\prime \prime }-x y^{\prime }-8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.934 |
|
| 11657 |
\begin{align*}
\left (-x^{2}+1\right ) {y^{\prime }}^{2}+2 x y y^{\prime }+4 x^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.934 |
|
| 11658 |
\begin{align*}
u^{\prime }&=\alpha \left (1-u\right )-\beta u \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.934 |
|
| 11659 |
\begin{align*}
\left (x^{2}+y^{2}\right ) y^{\prime \prime }-2 \left (1+{y^{\prime }}^{2}\right ) \left (x y^{\prime }-y\right )&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.934 |
|
| 11660 |
\begin{align*}
\left (1+\ln \left (y\right )\right ) {y^{\prime }}^{2}+\left (1-\ln \left (y\right )\right ) y y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.934 |
|
| 11661 |
\begin{align*}
y^{\prime \prime }&=x \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.934 |
|
| 11662 |
\begin{align*}
y_{1}^{\prime }&=y_{1}-y_{2}+2 y_{3} \\
y_{2}^{\prime }&=12 y_{1}-4 y_{2}+10 y_{3} \\
y_{3}^{\prime }&=-6 y_{1}+y_{2}-7 y_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.935 |
|
| 11663 |
\begin{align*}
2 t^{2} y^{\prime \prime }-t y^{\prime }+\left (t +1\right ) y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.935 |
|
| 11664 |
\begin{align*}
y^{2} {y^{\prime }}^{2}+3 x y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.935 |
|
| 11665 |
\begin{align*}
x^{\prime }+2 x+y^{\prime }+y&=t \\
5 x+y^{\prime }+3 y&=t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.935 |
|
| 11666 |
\begin{align*}
x^{2} y^{\prime \prime }+4 x y^{\prime }+\left (x^{2}+2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.935 |
|
| 11667 |
\begin{align*}
i^{\prime \prime }+2 i^{\prime }+5 i&=34 \cos \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.935 |
|
| 11668 |
\begin{align*}
y^{\prime \prime }+9 y&=18 \sec \left (3 x \right )^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.936 |
|
| 11669 |
\begin{align*}
-\left (-a \,x^{3}+12\right ) y+6 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.936 |
|
| 11670 |
\begin{align*}
y^{\prime \prime }+\left (p +\frac {1}{2}-\frac {x^{2}}{4}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.936 |
|
| 11671 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }+y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.936 |
|
| 11672 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&={\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.936 |
|
| 11673 |
\begin{align*}
2 x^{2} y^{\prime \prime }+5 x y^{\prime }+\left (x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.936 |
|
| 11674 |
\begin{align*}
4 x^{2} \left (1-x \right ) y^{\prime \prime }+3 x \left (2 x +1\right ) y^{\prime }-3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.937 |
|
| 11675 |
\begin{align*}
\left (a^{2}-x^{2}\right ) {y^{\prime }}^{2}+2 x y y^{\prime }+x^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.937 |
|
| 11676 |
\begin{align*}
x^{2} y^{\prime \prime }-\left (x -\frac {2}{9}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.937 |
|
| 11677 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&=x^{2}+\cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.937 |
|
| 11678 |
\(\left [\begin {array}{cccc} 4 & 0 & 0 & -3 \\ 0 & 2 & 0 & 0 \\ 0 & 0 & -1 & 0 \\ 6 & 0 & 0 & -5 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.937 |
|
| 11679 |
\begin{align*}
y^{\prime }-4 y&=2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.937 |
|
| 11680 |
\begin{align*}
x^{\prime }&=\frac {5 x}{4}+\frac {3 y}{4} \\
y^{\prime }&=a x+\frac {5 y}{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.937 |
|
| 11681 |
\begin{align*}
3 x^{2} y^{\prime \prime }-x y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.937 |
|
| 11682 |
\begin{align*}
x_{1}^{\prime }&=x_{2} \\
x_{2}^{\prime }&=6 x_{1}+4 \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (1\right ) &= 0 \\
x_{2} \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.937 |
|
| 11683 |
\begin{align*}
x y {y^{\prime }}^{2}+\left (x y^{2}-1\right ) y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.937 |
|
| 11684 |
\begin{align*}
2 x y^{\prime \prime }+5 \left (2 x +1\right ) y^{\prime }+5 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.937 |
|
| 11685 |
\begin{align*}
2 x^{2} \left (x +3\right ) y^{\prime \prime }+x \left (1+5 x \right ) y^{\prime }+\left (x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.938 |
|
| 11686 |
\begin{align*}
y^{\prime \prime }&=x \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.938 |
|
| 11687 |
\begin{align*}
y^{\prime \prime }+6 y&=\sin \left (x \right )^{2} \cos \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.938 |
|
| 11688 |
\begin{align*}
4 x y^{\prime \prime }+4 y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.938 |
|
| 11689 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=\cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.938 |
|
| 11690 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }+l x y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.938 |
|
| 11691 |
\begin{align*}
y^{\prime \prime }+y&=1-\frac {1}{\sin \left (x \right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.938 |
|
| 11692 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }&=\delta \left (t -1\right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.938 |
|
| 11693 |
\begin{align*}
2 x y^{\prime \prime }+\left (x +1\right ) y^{\prime }+3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.938 |
|
| 11694 |
\begin{align*}
y^{\prime \prime }-\frac {2 y^{\prime }}{x}+\left (n^{2}+\frac {2}{x^{2}}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.938 |
|
| 11695 |
\begin{align*}
x^{2} y^{\prime \prime }+3 x y^{\prime }-3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.939 |
|
| 11696 |
\begin{align*}
y^{\prime \prime }-10 y^{\prime }+29 y&=8 \,{\mathrm e}^{5 x} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 8 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.939 |
|
| 11697 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y&=\frac {1}{x -2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.939 |
|
| 11698 |
\begin{align*}
{y^{\prime }}^{2} x^{2}-2 \left (y x -2\right ) y^{\prime }+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.939 |
|
| 11699 |
\begin{align*}
x&=a y^{\prime }+b {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.940 |
|
| 11700 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }+36 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.940 |
|