| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 9501 |
\begin{align*}
2 y^{\prime } \left (y^{\prime }+1\right )+\left (x -y\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.703 |
|
| 9502 |
\begin{align*}
x^{\prime }&=-x+2 y \\
y^{\prime }&=-2 x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.703 |
|
| 9503 |
\begin{align*}
2 y^{\prime \prime }+3 y^{\prime }+y&={\mathrm e}^{-3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.703 |
|
| 9504 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=15 \sqrt {1+{\mathrm e}^{-x}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.703 |
|
| 9505 |
\begin{align*}
x^{2} y^{\prime \prime }-\left (x^{2}+x \right ) y^{\prime }+\left (x +1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.703 |
|
| 9506 |
\begin{align*}
x^{3} y^{\prime \prime \prime }-2 x^{2} y^{\prime \prime }-x y^{\prime }+4 y&=\sin \left (\ln \left (x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.704 |
|
| 9507 |
\begin{align*}
-2 y+\left (1-x \right )^{2} x y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.704 |
|
| 9508 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=2 \cos \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.704 |
|
| 9509 |
\begin{align*}
x^{\prime }&=4 x-5 y \\
y^{\prime }&=5 x-4 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.704 |
|
| 9510 |
\begin{align*}
y^{2} {y^{\prime }}^{3}+2 x y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.704 |
|
| 9511 |
\begin{align*}
\left (x^{4}-2 x^{3}+x^{2}\right ) y^{\prime \prime }+2 \left (x -1\right ) y^{\prime }+x^{2} y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
0.704 |
|
| 9512 |
\begin{align*}
4 y^{\prime \prime }-4 y^{\prime }+y&=t^{2} \\
y \left (0\right ) &= -12 \\
y^{\prime }\left (0\right ) &= 7 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.704 |
|
| 9513 |
\begin{align*}
\left (6+x \right )^{{1}/{3}} y^{\prime }&=1 \\
y \left (2\right ) &= 10 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.704 |
|
| 9514 |
\begin{align*}
y^{\prime \prime }+9 y&=t^{2} {\mathrm e}^{3 t}+6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.704 |
|
| 9515 |
\begin{align*}
y^{\prime \prime }-a {y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.704 |
|
| 9516 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=20 \,{\mathrm e}^{-2 x} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.704 |
|
| 9517 |
\begin{align*}
y^{\prime \prime }+y&=\frac {1}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.704 |
|
| 9518 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right ) \csc \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.704 |
|
| 9519 |
\begin{align*}
y^{\prime \prime }+y&=\tan \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.705 |
|
| 9520 |
\begin{align*}
x y^{\prime \prime }-\left (2 x -1\right ) y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.705 |
|
| 9521 |
\begin{align*}
4 x^{2} \left (x^{2}+4\right ) y^{\prime \prime }+3 x \left (3 x^{2}+8\right ) y^{\prime }+\left (-9 x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.706 |
|
| 9522 |
\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 \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.706 |
|
| 9523 |
\begin{align*}
y^{\prime }&=-1+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.706 |
|
| 9524 |
\begin{align*}
y^{\prime \prime }-4 y&=\frac {8}{{\mathrm e}^{2 x}+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.706 |
|
| 9525 |
\begin{align*}
x^{\prime }+2 x-y&=0 \\
x+y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.706 |
|
| 9526 |
\begin{align*}
x^{\prime }&=z \\
y^{\prime }&=y \\
z^{\prime }&=x \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 2 \\
z \left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.706 |
|
| 9527 |
\begin{align*}
5 y^{\prime \prime }-2 x y^{\prime }+10 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.706 |
|
| 9528 |
\begin{align*}
\left (-a^{2}+x^{2}\right ) {y^{\prime }}^{3}+b x \left (-a^{2}+x^{2}\right ) {y^{\prime }}^{2}+y^{\prime }+b x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.706 |
|
| 9529 |
\begin{align*}
x^{\prime }&=5 x-2 y \\
y^{\prime }&=4 x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.706 |
|
| 9530 |
\begin{align*}
y+2 y^{\prime }&={\mathrm e}^{-\frac {t}{2}} \\
y \left (0\right ) &= -1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.706 |
|
| 9531 |
\begin{align*}
x_{1}^{\prime }&=-7 x_{1}+9 x_{2}-6 x_{3} \\
x_{2}^{\prime }&=-8 x_{1}+11 x_{2}-7 x_{3} \\
x_{3}^{\prime }&=-2 x_{1}+3 x_{2}-x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.706 |
|
| 9532 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+10 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.706 |
|
| 9533 |
\begin{align*}
x y^{\prime \prime }-\left (x -1\right ) y^{\prime }+3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.706 |
|
| 9534 |
\begin{align*}
y^{\prime \prime }-y&=10 \sin \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.706 |
|
| 9535 |
\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 \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| 9536 |
\begin{align*}
y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y&=4 \,{\mathrm e}^{-x} \left (1-6 x \right )-2 x \cos \left (x \right )+2 \left (x +1\right ) \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| 9537 |
\begin{align*}
x^{\prime }&=-2 x+y+z \\
y^{\prime }&=-3 x+2 y+3 z \\
z^{\prime }&=x-y-2 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| 9538 |
\begin{align*}
y^{2}-2 x +2 x y y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| 9539 |
\begin{align*}
2 x +\cos \left (x \right ) y+\left (2 y+\sin \left (x \right )-\sin \left (y\right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.707 |
|
| 9540 |
\begin{align*}
\left (x +2\right ) y^{\prime \prime }+x y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| 9541 |
\begin{align*}
{y^{\prime \prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| 9542 |
\begin{align*}
4 x y^{\prime \prime }+4 y^{\prime }-\left (x +2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.707 |
|
| 9543 |
\begin{align*}
y^{\prime \prime }+y&=-2 \delta \left (t -\frac {\pi }{2}\right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| 9544 |
\begin{align*}
x^{\prime }&=3 x+6 y \\
y^{\prime }&=-x-2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| 9545 |
\begin{align*}
x^{\prime }&=x+2 y+t -1 \\
y^{\prime }&=3 x+2 y-5 t -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| 9546 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=x \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| 9547 |
\begin{align*}
x^{\prime }&=3 x-y \\
y^{\prime }&=2 x-2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| 9548 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }-8 x y^{\prime }+20 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| 9549 |
\begin{align*}
5 y+4 y^{\prime }+y^{\prime \prime }&=10 \,{\mathrm e}^{-3 x} \\
y \left (0\right ) &= 4 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| 9550 |
\begin{align*}
x^{\prime \prime }+4 x^{\prime }+5 x&=8 \sin \left (t \right ) \\
x \left (0\right ) &= 4 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| 9551 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (x \right )+x \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.708 |
|
| 9552 |
\begin{align*}
x y^{\prime \prime }+2 y^{\prime }-4 y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.708 |
|
| 9553 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=50 \sin \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.708 |
|
| 9554 |
\begin{align*}
2 y x +\left (a +x^{2}+y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.708 |
|
| 9555 |
\begin{align*}
y^{\prime \prime }+y&=2 \sin \left (x \right )+4 x \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.708 |
|
| 9556 |
\begin{align*}
4 y+y^{\prime \prime }&=4 \sec \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.708 |
|
| 9557 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=2 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.708 |
|
| 9558 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (x y^{\prime }-y\right )^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
0.708 |
|
| 9559 |
\begin{align*}
y^{\prime \prime }&=-\frac {y^{\prime }}{x +1}-\frac {y}{x \left (x +1\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.708 |
|
| 9560 |
\begin{align*}
x^{2} y^{\prime \prime }-3 x y^{\prime }+\left (4 x +4\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.708 |
|
| 9561 |
\begin{align*}
y^{\prime \prime }+y&=\csc \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.708 |
|
| 9562 |
\begin{align*}
y^{\prime \prime }&=\frac {1+{y^{\prime }}^{2}}{2 y} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.708 |
|
| 9563 |
\begin{align*}
y^{\prime \prime }+y&=12 \cos \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.708 |
|
| 9564 |
\begin{align*}
y^{\prime \prime }-y&=x +\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.708 |
|
| 9565 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }-3 y&=-12 x +8 \\
y \left (-1\right ) &= 1 \\
y^{\prime }\left (-1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.708 |
|
| 9566 |
\begin{align*}
x_{1}^{\prime }&=-\frac {5 x_{1}}{4}+\frac {3 x_{2}}{4}+2 t \\
x_{2}^{\prime }&=\frac {3 x_{1}}{4}-\frac {5 x_{2}}{4}+{\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.709 |
|
| 9567 |
\begin{align*}
y^{\prime \prime \prime }+y^{\prime }&=\tan \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.709 |
|
| 9568 |
\begin{align*}
x^{\prime }&=2 x+5 y \\
y^{\prime }&=x-2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.709 |
|
| 9569 |
\begin{align*}
x^{\prime }&=x+8 y \\
y^{\prime }&=-2 x-7 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.709 |
|
| 9570 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{16}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.709 |
|
| 9571 |
\begin{align*}
4 x^{2} y^{\prime \prime }+\left (1+4 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 9572 |
\begin{align*}
t^{2} y^{\prime \prime }+t y^{\prime }+\left (t^{2}-\frac {1}{4}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 9573 |
\begin{align*}
2 x^{\prime }+3 x-y&={\mathrm e}^{t} \\
5 x-3 y^{\prime }&=y+2 t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 9574 |
\begin{align*}
y^{\prime \prime }+\frac {y}{x^{2}}&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.710 |
|
| 9575 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+5 y&=4 \,{\mathrm e}^{x} \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 9576 |
\begin{align*}
6 y+18 x y^{\prime }+9 x^{2} y^{\prime \prime }+\left (x^{3}+1\right ) y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.710 |
|
| 9577 |
\begin{align*}
1+\frac {y^{2}}{x^{2}}-\frac {2 y y^{\prime }}{x}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 9578 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=4 \sinh \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.710 |
|
| 9579 |
\begin{align*}
\left (x^{2}-2 x +10\right ) y^{\prime \prime }+x y^{\prime }-4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 9580 |
\begin{align*}
t y^{\prime \prime }+y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 9581 |
\begin{align*}
x^{\prime }&=x-2 y \\
y^{\prime }&=3 x-4 y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 3 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 9582 |
\begin{align*}
x^{\prime }&=5 x-y \\
y^{\prime }&=3 x+y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 2 \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 9583 |
\begin{align*}
y^{\prime \prime \prime }+y^{\prime \prime }+3 y^{\prime }-5 y&=5 \sin \left (2 x \right )+10 x^{2}+3 x +7 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 9584 |
\begin{align*}
y^{\prime \prime }+4 y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 9585 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+8 y&={\mathrm e}^{2 x} \left (\cos \left (2 x \right )+\sin \left (2 x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 9586 |
\begin{align*}
y^{\prime \prime \prime \prime }-y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= 1 \\
y^{\prime \prime \prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 9587 |
\begin{align*}
x^{\prime \prime }+4 x&=\sin \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 9588 |
\begin{align*}
y^{\prime \prime }-\left (x -2\right ) y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=2\). |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 9589 |
\begin{align*}
x^{\prime }&=3 x+2 y+2 z \\
y^{\prime }&=x+4 y+z \\
z^{\prime }&=-2 x-4 y-z \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 0 \\
z \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 9590 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+y&={\mathrm e}^{c t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| 9591 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+x_{2}+2 \,{\mathrm e}^{t} \\
x_{2}^{\prime }&=4 x_{1}+x_{2}-{\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.711 |
|
| 9592 |
\begin{align*}
y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+13 y^{\prime \prime }-19 y^{\prime }+10 y&={\mathrm e}^{x} \left (\cos \left (2 x \right )+\sin \left (2 x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.711 |
|
| 9593 |
\begin{align*}
y_{1}^{\prime }&=-2 y_{1}+2 y_{2}+y_{3} \\
y_{2}^{\prime }&=-2 y_{1}+2 y_{2}+y_{3} \\
y_{3}^{\prime }&=-3 y_{1}+3 y_{2}+2 y_{3} \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= -6 \\
y_{2} \left (0\right ) &= -2 \\
y_{3} \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.711 |
|
| 9594 |
\begin{align*}
6 y^{\prime \prime }+2 y^{\prime }+y&=0 \\
y \left (2\right ) &= 1 \\
y^{\prime }\left (2\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.711 |
|
| 9595 |
\begin{align*}
f^{\prime \prime }+2 f^{\prime }+5 f&={\mathrm e}^{-t} \cos \left (3 t \right ) \\
f \left (0\right ) &= 0 \\
f^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.711 |
|
| 9596 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=\sin \left ({\mathrm e}^{-x}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.711 |
|
| 9597 |
\begin{align*}
x^{2} y^{\prime \prime }-4 x y^{\prime }+\left (9 x^{2}+6\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.711 |
|
| 9598 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime }&=1 \\
y \left (2\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.711 |
|
| 9599 |
\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*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.711 |
|
| 9600 |
\begin{align*}
x^{\prime }&=2 x-4 y \\
y^{\prime }&=2 x-2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.711 |
|