| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 9601 |
\begin{align*}
x y^{\prime }&=2 x^{2}+1 \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.711 |
|
| 9602 |
\begin{align*}
y+3 x y^{\prime }+9 x^{2} y^{\prime \prime }+6 x^{3} y^{\prime \prime \prime }+x^{4} y^{\prime \prime \prime \prime }&=\left (1+\ln \left (x \right )\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.711 |
|
| 9603 |
\begin{align*}
x^{\prime }&=8 x-5 y \\
y^{\prime }&=16 x+8 y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.711 |
|
| 9604 |
\begin{align*}
y^{\prime \prime }+\left (x -1\right )^{2} y^{\prime }-4 \left (x -1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.711 |
|
| 9605 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&={\mathrm e}^{2 x} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.711 |
|
| 9606 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{9}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.711 |
|
| 9607 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+y&=\frac {{\mathrm e}^{t}}{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.711 |
|
| 9608 |
\begin{align*}
\left (2-x \right ) x y^{\prime \prime }-2 \left (x -1\right ) y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.711 |
|
| 9609 |
\begin{align*}
x^{\prime }&=4 x+y+2 t \\
y^{\prime }&=-2 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.712 |
|
| 9610 |
\begin{align*}
y^{\prime \prime }-y&=2 \tanh \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.712 |
|
| 9611 |
\begin{align*}
x^{\prime \prime }+x&=t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.712 |
|
| 9612 |
\begin{align*}
x^{\prime }&=2 x+2 y \\
y^{\prime }&=6 x+3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.712 |
|
| 9613 |
\begin{align*}
x^{\prime }&=-5 x+3 y \\
y^{\prime }&=2 x-10 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.712 |
|
| 9614 |
\begin{align*}
x^{\prime }&=x+y \\
y^{\prime }&=3 x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.712 |
|
| 9615 |
\begin{align*}
4 x^{\prime \prime }-20 x^{\prime }+21 x&=0 \\
x \left (0\right ) &= -4 \\
x^{\prime }\left (0\right ) &= -12 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.712 |
|
| 9616 |
\begin{align*}
4 x^{\prime }+2 x^{\prime \prime }&=-5 x \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.712 |
|
| 9617 |
\begin{align*}
x^{\prime }&=x+y \\
y^{\prime }&=x-y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.712 |
|
| 9618 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&={\mathrm e}^{3 x} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.712 |
|
| 9619 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.712 |
|
| 9620 |
\begin{align*}
x^{2} y^{\prime \prime }+6 \sin \left (x \right ) y^{\prime }+6 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.713 |
|
| 9621 |
\begin{align*}
y^{\prime \prime }+10 y^{\prime }+25 y&=14 \,{\mathrm e}^{-5 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.713 |
|
| 9622 |
\begin{align*}
x^{\prime }&=x+2 y \\
y^{\prime }&=-4 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.713 |
|
| 9623 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+8 y&={\mathrm e}^{2 x} \left (\sin \left (2 x \right )-\cos \left (2 x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.713 |
|
| 9624 |
\begin{align*}
t y^{\prime \prime }-t y^{\prime }+y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
0.713 |
|
| 9625 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }-3 y&=-12 x +8 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.713 |
|
| 9626 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+2 y&={\mathrm e}^{-x} \sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.713 |
|
| 9627 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}+x_{2}+x_{3} \\
x_{2}^{\prime }&=-5 x_{1}-3 x_{2}-x_{3} \\
x_{3}^{\prime }&=5 x_{1}+5 x_{2}+3 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.714 |
|
| 9628 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}-x_{2} \\
x_{2}^{\prime }&=-x_{1}+2 x_{2}+4 \,{\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.714 |
|
| 9629 |
\begin{align*}
{y^{\prime }}^{3}+\left (2 x -y^{2}\right ) {y^{\prime }}^{2}-2 x y^{2} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.714 |
|
| 9630 |
\begin{align*}
2 y x +x^{2}+b +\left (a +x^{2}+y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.714 |
|
| 9631 |
\begin{align*}
x -x^{2}-y^{2}+y y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.714 |
|
| 9632 |
\begin{align*}
y^{\prime \prime }-\left (a^{2} x^{2}+a \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.714 |
|
| 9633 |
\begin{align*}
x^{\prime }&=-2 x+2 y \\
y^{\prime }&=x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.714 |
|
| 9634 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }&=\left \{\begin {array}{cc} 0 & 0\le x <1 \\ \left (x -1\right )^{2} & 1\le x \end {array}\right . \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
0.714 |
|
| 9635 |
\begin{align*}
y^{\prime \prime }-y&=2 \sinh \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.714 |
|
| 9636 |
\begin{align*}
x^{\prime \prime }+x&=\cos \left (t \right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.714 |
|
| 9637 |
\begin{align*}
y^{\prime }&=\frac {1}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.714 |
|
| 9638 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.714 |
|
| 9639 |
\begin{align*}
2 y^{\prime \prime }-3 y^{\prime }-2 y&=5 \,{\mathrm e}^{x} \cosh \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.714 |
|
| 9640 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+5 y&=3 \sin \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.714 |
|
| 9641 |
\begin{align*}
t^{2} x^{\prime \prime }+x^{\prime } t +x t^{2}&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.714 |
|
| 9642 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.714 |
|
| 9643 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }+2 x y^{\prime }-\lambda y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.714 |
|
| 9644 |
\begin{align*}
3 y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+y&=\sin \left (x \right )+{\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.714 |
|
| 9645 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=x \\
y \left (0\right ) &= -2 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.714 |
|
| 9646 |
\begin{align*}
y^{\prime \prime }+y&={\mathrm e}^{i t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.714 |
|
| 9647 |
\begin{align*}
y^{\prime \prime }+4 y&={\mathrm e}^{t} \sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.714 |
|
| 9648 |
\begin{align*}
x^{2} \left (-x^{2}+2\right ) y^{\prime \prime }-2 x \left (2 x^{2}+1\right ) y^{\prime }+\left (-2 x^{2}+2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.715 |
|
| 9649 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.715 |
|
| 9650 |
\begin{align*}
x y^{\prime \prime }+2 y^{\prime }+a^{3} x^{2} y&=2 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.715 |
|
| 9651 |
\begin{align*}
y^{\prime \prime }-9 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.715 |
|
| 9652 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (\left (\alpha +\beta +1\right ) \left (x -a \right )^{2} \left (x -b \right )+\left (1-\alpha -\beta \right ) \left (x -b \right )^{2} \left (x -a \right )\right ) y^{\prime }}{\left (x -a \right )^{2} \left (x -b \right )^{2}}-\frac {\alpha \beta \left (a -b \right )^{2} y}{\left (x -a \right )^{2} \left (x -b \right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.715 |
|
| 9653 |
\begin{align*}
x^{\prime \prime }+x&=9 \,{\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.715 |
|
| 9654 |
\begin{align*}
\left (\tan \left (x \right )^{2}-1\right ) y^{\prime \prime }-4 \tan \left (x \right )^{3} y^{\prime }+2 y \sec \left (x \right )^{4}&=\left (\tan \left (x \right )^{2}-1\right ) \left (1-2 \sin \left (x \right )^{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.715 |
|
| 9655 |
\begin{align*}
x^{\prime }&=x+3 z \\
y^{\prime }&=-y \\
z^{\prime }&=-3 x+z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.715 |
|
| 9656 |
\begin{align*}
x^{\prime }&=x+y \\
y^{\prime }&=-2 c x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.715 |
|
| 9657 |
\begin{align*}
x^{2} y^{\prime \prime }+2 x y^{\prime }-12 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.716 |
|
| 9658 |
\begin{align*}
x^{2} y^{\prime \prime }-x \left (-x^{2}+1\right ) y^{\prime }+\left (x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.716 |
|
| 9659 |
\begin{align*}
y^{\prime \prime \prime }-6 y^{\prime \prime }+18 y^{\prime }&=-{\mathrm e}^{3 x} \left (\left (2-3 x \right ) \cos \left (3 x \right )-\left (3 x +3\right ) \sin \left (3 x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.716 |
|
| 9660 |
\begin{align*}
x_{1}^{\prime }&=15 x_{1}-32 x_{2}+12 x_{3} \\
x_{2}^{\prime }&=8 x_{1}-17 x_{2}+6 x_{3} \\
x_{3}^{\prime }&=-x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.716 |
|
| 9661 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.716 |
|
| 9662 |
\begin{align*}
y y^{\prime \prime }&=y^{2} y^{\prime }+{y^{\prime }}^{2} \\
y \left (0\right ) &= -{\frac {1}{2}} \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
0.716 |
|
| 9663 |
\begin{align*}
y^{\prime \prime }-3 y&=x \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.716 |
|
| 9664 |
\begin{align*}
x y^{\prime \prime }+\left (1-x \right ) y^{\prime }+3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.716 |
|
| 9665 |
\begin{align*}
3 x^{2} y^{3}+y^{4}+\left (3 x^{3} y^{2}+y^{4}+4 x y^{3}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.717 |
|
| 9666 |
\begin{align*}
x^{\prime \prime }+2 x^{\prime }+x&=\delta \left (t \right )-\delta \left (t -2\right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 2 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.717 |
|
| 9667 |
\begin{align*}
y {y^{\prime }}^{2}+\left (x -y^{2}\right ) y^{\prime }-y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.717 |
|
| 9668 |
\begin{align*}
f \left (x \right ) y^{\prime }+g \left (y\right ) {y^{\prime }}^{2}+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.717 |
|
| 9669 |
\begin{align*}
y^{\prime \prime }+\left (x -3\right ) y^{\prime }+3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.717 |
|
| 9670 |
\begin{align*}
x^{\prime }&=4 x-2 y \\
y^{\prime }&=3 x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.717 |
|
| 9671 |
\begin{align*}
y^{\prime \prime }-10 y^{\prime }+25 y&={\mathrm e}^{5 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.717 |
|
| 9672 |
\begin{align*}
x^{\prime }&=-x-4 y \\
y^{\prime }&=x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.717 |
|
| 9673 |
\begin{align*}
x^{\prime }&=-x-4 y \\
y^{\prime }&=x-y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 4 \\
y \left (0\right ) &= -3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.717 |
|
| 9674 |
\begin{align*}
y&=2 x y^{\prime }+y^{2} {y^{\prime }}^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.717 |
|
| 9675 |
\begin{align*}
x^{\prime \prime }+x^{\prime }-2 x&=0 \\
x \left (0\right ) &= 0 \\
x \left (\infty \right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.717 |
|
| 9676 |
\begin{align*}
5 y+2 y^{\prime }+y^{\prime \prime }&=3 \sin \left (x +\frac {\pi }{4}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.717 |
|
| 9677 |
\begin{align*}
y y^{\prime \prime }&={y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.717 |
|
| 9678 |
\begin{align*}
{y^{\prime }}^{2} x +\left (1-x^{2} y\right ) y^{\prime }-y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.718 |
|
| 9679 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.718 |
|
| 9680 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=4 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.718 |
|
| 9681 |
\begin{align*}
y^{\prime }&=\frac {1}{x^{2}-1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.718 |
|
| 9682 |
\begin{align*}
y_{1}^{\prime }&=2 y_{1}+y_{2}-2 y_{3} \\
y_{2}^{\prime }&=3 y_{2}-2 y_{3} \\
y_{3}^{\prime }&=3 y_{1}+y_{2}-3 y_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.718 |
|
| 9683 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=\frac {{\mathrm e}^{2 t}}{t^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.718 |
|
| 9684 |
\begin{align*}
\left (x y^{\prime }-y\right )^{2}+x^{2} y y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.718 |
|
| 9685 |
\begin{align*}
y^{\prime \prime }-y&={\mathrm e}^{-x} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.718 |
|
| 9686 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=x +2 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.718 |
|
| 9687 |
\begin{align*}
x_{1}^{\prime }&=5 x_{1}-2 x_{2} \\
x_{2}^{\prime }&=4 x_{1}+8 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.718 |
|
| 9688 |
\begin{align*}
y^{\prime \prime } \left (2 y^{\prime }+x \right )&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.718 |
|
| 9689 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&=4 \cos \left (x \right )-2 \sin \left (x \right ) \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.719 |
|
| 9690 |
\begin{align*}
y^{\prime \prime }+9 y&=25 x \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.719 |
|
| 9691 |
\begin{align*}
x^{2} y^{\prime \prime }+3 x y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.719 |
|
| 9692 |
\begin{align*}
\left (x y^{\prime }-y\right )^{2}+x^{2} y y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.719 |
|
| 9693 |
\begin{align*}
x^{\prime \prime }+4 x&=\cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.719 |
|
| 9694 |
\begin{align*}
y^{\prime \prime }+2 a y^{\prime }+a^{2} y&=x^{2} {\mathrm e}^{-a x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.719 |
|
| 9695 |
\begin{align*}
4 x^{2} y^{\prime \prime }+8 x y^{\prime }-3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.720 |
|
| 9696 |
\begin{align*}
y_{1}^{\prime }&=2 y_{2}+y_{3} \\
y_{2}^{\prime }&=-4 y_{1}+6 y_{2}+y_{3} \\
y_{3}^{\prime }&=4 y_{2}+2 y_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.720 |
|
| 9697 |
\begin{align*}
x^{2} \left (x^{2}-2 x +1\right ) y^{\prime \prime }-x \left (x +3\right ) y^{\prime }+\left (x +4\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.720 |
|
| 9698 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+9 y&=\frac {{\mathrm e}^{-3 t}}{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.720 |
|
| 9699 |
\begin{align*}
y^{\prime \prime }+\frac {2 y^{\prime }}{x}+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.720 |
|
| 9700 |
\begin{align*}
x^{\prime \prime }-2 x^{\prime } \left (x-1\right )&=0 \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
0.720 |
|