| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 6601 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+8 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.503 |
|
| 6602 |
\begin{align*}
y^{\prime }-y&=2 \,{\mathrm e}^{x} \\
y \left (0\right ) &= 1 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.503 |
|
| 6603 |
\begin{align*}
y^{\prime \prime }+7 y^{\prime }+12 y&=3 \,{\mathrm e}^{-t} \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.503 |
|
| 6604 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=\left (12 x -4\right ) {\mathrm e}^{-5 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.503 |
|
| 6605 |
\begin{align*}
x^{\prime \prime }+4 x^{\prime }+3 x&=0 \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.503 |
|
| 6606 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.503 |
|
| 6607 |
\begin{align*}
x^{\prime }&=x+3 y \\
y^{\prime }&=3 x+y \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 5 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.503 |
|
| 6608 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime } x +2 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.503 |
|
| 6609 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=3 \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.503 |
|
| 6610 |
\begin{align*}
x^{2} {y^{\prime }}^{2}+3 y y^{\prime } x +2 y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.503 |
|
| 6611 |
\begin{align*}
x^{\prime \prime }+6 x^{\prime }+13 x&=10 \sin \left (5 t \right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.504 |
|
| 6612 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}-2 x_{2} \\
x_{2}^{\prime }&=4 x_{1}-x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.504 |
|
| 6613 |
\begin{align*}
\left (6+4 x \right ) y^{\prime \prime }+\left (2 x +1\right ) y&=0 \\
y \left (-1\right ) &= -1 \\
y^{\prime }\left (-1\right ) &= 2 \\
\end{align*} Series expansion around \(x=-1\). |
✓ |
✓ |
✓ |
✓ |
0.504 |
|
| 6614 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+\left (x^{2}+2\right ) y^{\prime }+y x&=0 \\
y \left (0\right ) &= -3 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.504 |
|
| 6615 |
\begin{align*}
x^{2} \left (x +1\right ) y^{\prime \prime }-x \left (-x +3\right ) y^{\prime }+4 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.504 |
|
| 6616 |
\begin{align*}
x^{2} \left (x^{2}+1\right ) y^{\prime \prime }-x \left (9 x^{2}+1\right ) y^{\prime }+\left (25 x^{2}+1\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.504 |
|
| 6617 |
\begin{align*}
y_{1}^{\prime }&=-10 y_{1}+9 y_{2} \\
y_{2}^{\prime }&=-4 y_{1}+2 y_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.504 |
|
| 6618 |
\begin{align*}
y^{\prime }&=\arcsin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.504 |
|
| 6619 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-6 y&=18 \,{\mathrm e}^{5 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.504 |
|
| 6620 |
\begin{align*}
a x y+2 y^{\prime }+y^{\prime \prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.504 |
|
| 6621 |
\begin{align*}
-\left (2 x^{2}+1\right ) y+x^{4} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.504 |
|
| 6622 |
\begin{align*}
a y-x^{5} y^{\prime }+x^{6} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.504 |
|
| 6623 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.504 |
|
| 6624 |
\begin{align*}
\left (x +1\right ) y^{\prime \prime }-\left (2-x \right ) y^{\prime }+y&=0 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.504 |
|
| 6625 |
\begin{align*}
y^{\prime \prime }-7 y^{\prime }+6 y&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.504 |
|
| 6626 |
\begin{align*}
x^{\prime }&=\frac {x}{2} \\
y^{\prime }&=x-\frac {y}{2} \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 4 \\
y \left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.504 |
|
| 6627 |
\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}+2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.504 |
|
| 6628 |
\begin{align*}
x^{\prime \prime }&=-\frac {x}{t^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.504 |
|
| 6629 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=4 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.504 |
|
| 6630 |
\begin{align*}
x^{\prime }&=x+7 y \\
y^{\prime }&=3 x+5 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.504 |
|
| 6631 |
\begin{align*}
x^{\prime \prime }-3 x^{\prime }+2 x&=0 \\
x \left (0\right ) &= 2 \\
x^{\prime }\left (0\right ) &= 6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.504 |
|
| 6632 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-6 y&=0 \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 8 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.504 |
|
| 6633 |
\begin{align*}
2 z^{\prime \prime }+7 z^{\prime }-4 z&=0 \\
z \left (0\right ) &= 0 \\
z^{\prime }\left (0\right ) &= 9 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.504 |
|
| 6634 |
\begin{align*}
x^{\prime \prime }+2 x^{\prime }+10 x&={\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.504 |
|
| 6635 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+20 y&={\mathrm e}^{-2 t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.504 |
|
| 6636 |
\begin{align*}
y^{\prime \prime }+9 y^{\prime }+20 y&=-2 \,{\mathrm e}^{t} t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.504 |
|
| 6637 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.504 |
|
| 6638 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=3 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.504 |
|
| 6639 |
\begin{align*}
y^{\prime \prime }+y^{\prime } x +\left (2 x -1\right ) y&=0 \\
\end{align*} Series expansion around \(x=-1\). |
✓ |
✓ |
✓ |
✓ |
0.504 |
|
| 6640 |
\begin{align*}
u^{\prime \prime }+\frac {u^{\prime }}{8}+4 u&=3 \cos \left (2 t \right ) \\
u \left (0\right ) &= 2 \\
u^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.505 |
|
| 6641 |
\begin{align*}
\left (-2 x^{3}+1\right ) y^{\prime \prime }-10 x^{2} y^{\prime }-8 y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.505 |
|
| 6642 |
\begin{align*}
\left (-x^{3}+1\right ) y^{\prime \prime }+15 x^{2} y^{\prime }-36 y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.505 |
|
| 6643 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&={\mathrm e}^{x} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.505 |
|
| 6644 |
\begin{align*}
y^{\prime }&=y x -x^{2} \\
y \left (0\right ) &= 2 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.505 |
|
| 6645 |
\begin{align*}
\frac {1}{x}-\frac {y}{x^{2}+y^{2}}+\frac {x y^{\prime }}{x^{2}+y^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.505 |
|
| 6646 |
\begin{align*}
\left (-x^{3}+3 x^{2}-6 x +6\right ) y^{\prime \prime }+x \left (x^{2}-2 x +2\right ) y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.505 |
|
| 6647 |
\begin{align*}
6 y^{\prime \prime }+5 y^{\prime }-6 y&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.505 |
|
| 6648 |
\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*} |
✓ |
✓ |
✓ |
✓ |
0.505 |
|
| 6649 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=2 \sin \left (x \right ) \\
y \left (0\right ) &= -2 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.505 |
|
| 6650 |
\begin{align*}
x^{\prime }&=x+2 y \\
y^{\prime }&=3 y \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 2 \\
y \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.505 |
|
| 6651 |
\begin{align*}
y^{\prime }-5 y&=0 \\
y \left (\pi \right ) &= 2 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.505 |
|
| 6652 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-y^{\prime } x&=2 x^{2} \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.505 |
|
| 6653 |
\begin{align*}
y^{\prime }&=1-x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.505 |
|
| 6654 |
\begin{align*}
x_{1}^{\prime }&=\frac {3 x_{1}}{4}-2 x_{2} \\
x_{2}^{\prime }&=x_{1}-\frac {5 x_{2}}{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.506 |
|
| 6655 |
\begin{align*}
\left (-2 x^{2}+1\right ) y^{\prime \prime }+\left (2-6 x \right ) y^{\prime }-2 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.506 |
|
| 6656 |
\begin{align*}
x^{2} \left (x^{2}+1\right ) y^{\prime \prime }+x \left (8 x^{2}+3\right ) y^{\prime }+\left (12 x^{2}+1\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.506 |
|
| 6657 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+5 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.506 |
|
| 6658 |
\begin{align*}
y^{\prime \prime }-y&=\sin \left (x \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.506 |
|
| 6659 |
\begin{align*}
y^{\prime \prime }+9 y&=7 \sin \left (4 t \right )+14 \cos \left (4 t \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.506 |
|
| 6660 |
\begin{align*}
x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-y^{\prime } x +y&=9 \ln \left (x \right ) x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.506 |
|
| 6661 |
\begin{align*}
y^{\prime }&=x +1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.506 |
|
| 6662 |
\begin{align*}
x^{\prime }&=11 x-2 y \\
y^{\prime }&=3 x+4 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.506 |
|
| 6663 |
\begin{align*}
x^{\prime }&=x-y \\
y^{\prime }&=2 x-2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.506 |
|
| 6664 |
\begin{align*}
x^{\prime }&=2 x+2 y \\
y^{\prime }&=-4 x+6 y \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.506 |
|
| 6665 |
\begin{align*}
y^{\prime }&=3 \sqrt {x +3} \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.506 |
|
| 6666 |
\begin{align*}
y^{\prime }&=1-x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.506 |
|
| 6667 |
\begin{align*}
2 n y-2 y^{\prime } x +y^{\prime \prime }&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.506 |
|
| 6668 |
\begin{align*}
x^{4} y^{\prime \prime \prime \prime }+6 x^{3} y^{\prime \prime \prime }+7 x^{2} y^{\prime \prime }+y^{\prime } x -y&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.506 |
|
| 6669 |
\begin{align*}
z^{\prime \prime }-4 z&=\sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.506 |
|
| 6670 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=5 x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.506 |
|
| 6671 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }-2 y&=x^{2}+4 x +3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.506 |
|
| 6672 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+5 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.506 |
|
| 6673 |
\begin{align*}
y^{\prime }&=\frac {1}{x^{2}} \\
y \left (1\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.507 |
|
| 6674 |
\begin{align*}
x_{1}^{\prime }&=-\frac {4 x_{1}}{5}+2 x_{2} \\
x_{2}^{\prime }&=-x_{1}+\frac {6 x_{2}}{5} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.507 |
|
| 6675 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}-2 x_{2}+1-\operatorname {Heaviside}\left (t -\pi \right ) \\
x_{2}^{\prime }&=2 x_{1}-2 x_{2} \\
\end{align*} With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 0 \\
x_{2} \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.507 |
|
| 6676 |
\begin{align*}
{y^{\prime }}^{2}-\left (2 y x +1\right ) y^{\prime }+2 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.507 |
|
| 6677 |
\begin{align*}
\left (c x +b \right ) y+a y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.507 |
|
| 6678 |
\begin{align*}
b y-2 \tan \left (x \right ) y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.507 |
|
| 6679 |
\begin{align*}
b x +a y {y^{\prime }}^{2}+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.507 |
|
| 6680 |
\begin{align*}
4 y+y^{\prime \prime }&=x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.507 |
|
| 6681 |
\begin{align*}
y^{\prime \prime }+x^{2} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.507 |
|
| 6682 |
\begin{align*}
y^{\prime \prime }+\frac {2 {y^{\prime }}^{2}}{1-y}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.507 |
|
| 6683 |
\begin{align*}
y^{\prime }&=3 \sqrt {x +3} \\
y \left (1\right ) &= 20 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.507 |
|
| 6684 |
\begin{align*}
y^{\prime }-{\mathrm e}^{x} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.507 |
|
| 6685 |
\begin{align*}
x^{3} y^{\prime \prime \prime }-4 x^{2} y^{\prime \prime }+8 y^{\prime } x -8 y&=4 \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.507 |
|
| 6686 |
\begin{align*}
x^{2} y^{\prime \prime }-y&=0 \\
\end{align*} Series expansion around \(x=2\). |
✓ |
✓ |
✓ |
✓ |
0.507 |
|
| 6687 |
\begin{align*}
x^{2} {y^{\prime }}^{2}+y^{\prime } x -y^{2}-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.507 |
|
| 6688 |
\begin{align*}
x^{2} {y^{\prime }}^{2}-7 y y^{\prime } x +12 y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.507 |
|
| 6689 |
\begin{align*}
y_{1}^{\prime }&=y_{2} \\
y_{2}^{\prime }&=-2 y_{1} \\
\end{align*} With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 1 \\
y_{2} \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.507 |
|
| 6690 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&={\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.507 |
|
| 6691 |
\begin{align*}
5 y+2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{-2 x} \left (2 x +\sin \left (2 x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.507 |
|
| 6692 |
\begin{align*}
x^{2} \left (-x^{2}+1\right ) y^{\prime \prime }+2 y^{\prime } x -2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.508 |
|
| 6693 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-y^{\prime } x +\alpha ^{2} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.508 |
|
| 6694 |
\begin{align*}
2 x^{2} \left (x^{2}+2\right ) y^{\prime \prime }+7 x^{3} y^{\prime }+\left (3 x^{2}+1\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.508 |
|
| 6695 |
\begin{align*}
9 \left (x +3\right ) x^{2} y^{\prime \prime }+3 x \left (3+7 x \right ) y^{\prime }+\left (4 x +3\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.508 |
|
| 6696 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&=-2 x^{2}+2 x +2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.508 |
|
| 6697 |
\begin{align*}
\left (x +1\right ) \left (y^{\prime }+y^{2}\right )-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.508 |
|
| 6698 |
\begin{align*}
-y-\left (-x^{2}+1\right ) y^{\prime }+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.508 |
|
| 6699 |
\begin{align*}
3 y^{\prime \prime }+11 y^{\prime }-7 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.508 |
|
| 6700 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=\cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.508 |
|