| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 5401 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=14 x^{{3}/{2}} {\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.678 |
|
| 5402 |
\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 \(x=-1\). |
✓ |
✓ |
✓ |
✓ |
0.678 |
|
| 5403 |
\begin{align*}
6 y^{\prime \prime } x +6 x^{2} y^{\prime \prime \prime }+x^{3} y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.678 |
|
| 5404 |
\begin{align*}
4 y^{\prime \prime }+40 y^{\prime }+101 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -5 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.678 |
|
| 5405 |
\begin{align*}
y^{\prime }&=\left (-x^{2}+4\right )^{{3}/{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.678 |
|
| 5406 |
\begin{align*}
x^{\prime \prime }+16 x&=t \sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.678 |
|
| 5407 |
\begin{align*}
y^{\prime }&=\left (-1+y\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.678 |
|
| 5408 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&=2 \,{\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.678 |
|
| 5409 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=\sin \left ({\mathrm e}^{-x}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.679 |
|
| 5410 |
\begin{align*}
y^{\prime }-6 y&=0 \\
y \left (-1\right ) &= 4 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.679 |
|
| 5411 |
\begin{align*}
\left (x^{2}-8 x +14\right ) y^{\prime \prime }-8 \left (x -4\right ) y^{\prime }+20 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.679 |
|
| 5412 |
\begin{align*}
y^{\prime \prime }&=\frac {2 y}{x \left (-1+x \right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.679 |
|
| 5413 |
\begin{align*}
y^{\prime }&=-1+x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.679 |
|
| 5414 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+9 y&={\mathrm e}^{-3 t} \ln \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.679 |
|
| 5415 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.679 |
|
| 5416 |
\begin{align*}
y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }+2 y^{\prime \prime }-2 y^{\prime }-4 y&=-{\mathrm e}^{-x} \left (\cos \left (x \right )-\sin \left (x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.680 |
|
| 5417 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+13 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.680 |
|
| 5418 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+5 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.680 |
|
| 5419 |
\begin{align*}
x^{\prime }&=2 x-5 y \\
y^{\prime }&=x-2 y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 3 \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.680 |
|
| 5420 |
\begin{align*}
5 y+2 y^{\prime }+y^{\prime \prime }&=3 \,{\mathrm e}^{-x} \sin \left (x \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 3 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.680 |
|
| 5421 |
\begin{align*}
y^{\prime \prime \prime }+y&=\sin \left (3 x \right )-\cos \left (\frac {x}{2}\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.680 |
|
| 5422 |
\begin{align*}
x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-y^{\prime } x +y&=x \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.680 |
|
| 5423 |
\begin{align*}
x^{2} y^{\prime \prime }+6 \sin \left (x \right ) y^{\prime }+6 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.681 |
|
| 5424 |
\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 \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.681 |
|
| 5425 |
\begin{align*}
y^{\prime \prime }-2 z y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(z=0\). |
✓ |
✓ |
✓ |
✓ |
0.681 |
|
| 5426 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }-7 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.681 |
|
| 5427 |
\begin{align*}
y_{1}^{\prime }&=-4 y_{1}-y_{2}+2 \,{\mathrm e}^{t} \\
y_{2}^{\prime }&=y_{1}-2 y_{2}+\sin \left (2 t \right ) \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 1 \\
y_{2} \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.681 |
|
| 5428 |
\begin{align*}
x_{1}^{\prime }&=\frac {x_{1}}{2}+\frac {x_{2}}{2} \\
x_{2}^{\prime }&=2 x_{1}-x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.681 |
|
| 5429 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=3 x^{2} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.681 |
|
| 5430 |
\begin{align*}
{y^{\prime }}^{3}+2 x {y^{\prime }}^{2}-y^{2} {y^{\prime }}^{2}-2 y^{2} y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.681 |
|
| 5431 |
\begin{align*}
x^{\prime }&=x \\
y^{\prime }&=-2 x+2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.681 |
|
| 5432 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.681 |
|
| 5433 |
\begin{align*}
-y+y^{\prime } x +x^{3} y^{\prime \prime \prime }&=3 x^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.682 |
|
| 5434 |
\begin{align*}
x^{\prime }&=-6 y \\
y^{\prime }&=6 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.682 |
|
| 5435 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+5 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 3 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.682 |
|
| 5436 |
\begin{align*}
y^{\prime \prime }-7 y^{\prime }+10 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.682 |
|
| 5437 |
\begin{align*}
x^{\prime }&=2 y \\
y^{\prime }&=1-2 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.682 |
|
| 5438 |
\begin{align*}
y^{\prime \prime }-4 y&=\sinh \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.683 |
|
| 5439 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+4 y^{\prime } x +2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.683 |
|
| 5440 |
\begin{align*}
x^{2} y^{\prime }&=a +b \,x^{n}+y^{2} x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.683 |
|
| 5441 |
\begin{align*}
\left (x^{2}+6 x \right ) y^{\prime \prime }+\left (3 x +9\right ) y^{\prime }-3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.683 |
|
| 5442 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-5 y^{\prime } x -4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.683 |
|
| 5443 |
\begin{align*}
z^{\prime }&={\mathrm e}^{-2 x} x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.683 |
|
| 5444 |
\begin{align*}
x^{\prime }&=a x+y \\
y^{\prime }&=-x+a y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.683 |
|
| 5445 |
\begin{align*}
x^{\prime }&=4 x+y+2 t \\
y^{\prime }&=-2 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.684 |
|
| 5446 |
\begin{align*}
x_{1}^{\prime }&=x_{3} \\
x_{2}^{\prime }&=-5 x_{1}-x_{2}-5 x_{3} \\
x_{3}^{\prime }&=4 x_{1}+x_{2}-2 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.684 |
|
| 5447 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+2 y&=\delta \left (t -\pi \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.684 |
|
| 5448 |
\begin{align*}
y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y&=5 \,{\mathrm e}^{2 x}+2 \,{\mathrm e}^{x}-4 \cos \left (x \right )+4 \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.684 |
|
| 5449 |
\begin{align*}
y+y^{\prime }&=\left \{\begin {array}{cc} 2 & 0\le t \le 1 \\ 0 & 1<t \end {array}\right . \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.684 |
|
| 5450 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+\left (1+\lambda \right ) y&=0 \\
y \left (0\right ) &= 0 \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.684 |
|
| 5451 |
\begin{align*}
\left (z^{2}+5 z +6\right ) y^{\prime \prime }+2 y&=0 \\
\end{align*}
Series expansion around \(z=0\). |
✓ |
✓ |
✓ |
✓ |
0.684 |
|
| 5452 |
\begin{align*}
{y^{\prime }}^{2}+\left (a +x \right ) y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.684 |
|
| 5453 |
\begin{align*}
y^{\prime }+2 y&=0 \\
y \left (0\right ) &= {\frac {3}{2}} \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.684 |
|
| 5454 |
\begin{align*}
y^{\prime }&=a y^{2}+b x +c \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.684 |
|
| 5455 |
\begin{align*}
y^{\prime \prime }+4 y&=\cos \left (2 t \right )+t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.684 |
|
| 5456 |
\begin{align*}
y^{\prime \prime }-9 y&=54 t \sin \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.684 |
|
| 5457 |
\begin{align*}
y^{\prime \prime }-\cos \left (x \right ) y&=\sin \left (x \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.684 |
|
| 5458 |
\begin{align*}
x^{\prime }&=x+y \\
y^{\prime }&=4 x-2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.684 |
|
| 5459 |
\begin{align*}
x^{\prime }&=2 y \\
y^{\prime }&=8 x \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= -3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.684 |
|
| 5460 |
\begin{align*}
y^{\prime \prime \prime }&=3 \sin \left (x \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.684 |
|
| 5461 |
\begin{align*}
y^{\prime }-4 y&=\frac {48 x}{y^{2}} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.685 |
|
| 5462 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime } x +\left (2 x^{2}+5\right ) y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -2 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.685 |
|
| 5463 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime } x +\left (4 x^{2}+2\right ) y&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 6 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.685 |
|
| 5464 |
\begin{align*}
y^{\prime \prime }+y^{\prime } x +3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.685 |
|
| 5465 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=\sin \left ({\mathrm e}^{-x}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.685 |
|
| 5466 |
\begin{align*}
y^{\prime \prime }-a^{2} y&=x +1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.685 |
|
| 5467 |
\begin{align*}
-2 y+2 y^{\prime } x -x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime }&=x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.685 |
|
| 5468 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+5 y&=0 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 4 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.685 |
|
| 5469 |
\begin{align*}
\frac {x^{\prime \prime }}{4}+2 x^{\prime }+x&=0 \\
x \left (0\right ) &= -{\frac {1}{2}} \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.685 |
|
| 5470 |
\begin{align*}
x^{\prime }&=2 y \\
y^{\prime }&=8 x \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 2 \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.685 |
|
| 5471 |
\begin{align*}
y^{\prime \prime } x +\left (2 x +3\right ) y^{\prime }+\left (x +3\right ) y&=3 \,{\mathrm e}^{-x} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✗ |
✗ |
0.685 |
|
| 5472 |
\begin{align*}
5 y+2 y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.685 |
|
| 5473 |
\begin{align*}
6 y^{\prime \prime \prime \prime }+29 y^{\prime \prime \prime }+45 y^{\prime \prime }+24 y^{\prime }+20 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.685 |
|
| 5474 |
\begin{align*}
x^{\prime \prime }+10 x^{\prime }+125 x&=0 \\
x \left (0\right ) &= 6 \\
x^{\prime }\left (0\right ) &= 50 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.686 |
|
| 5475 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&=40 \sin \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.686 |
|
| 5476 |
\begin{align*}
f \left (x \right ) f^{\prime }\left (x \right ) y^{\prime }+f \left (x \right )^{2} y^{\prime \prime }&=g \left (y, f \left (x \right ) y^{\prime }\right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.686 |
|
| 5477 |
\begin{align*}
4 x^{2} y^{\prime \prime }+4 y^{\prime } x +\left (-v^{2}+x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.686 |
|
| 5478 |
\(\left [\begin {array}{cc} 0 & 1 \\ -1 & 0 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.686 |
|
| 5479 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=\left (x^{2}+x \right ) {\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.686 |
|
| 5480 |
\begin{align*}
\left (x^{2}-2 x -3\right ) y^{\prime \prime }+y^{\prime } x +4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.687 |
|
| 5481 |
\begin{align*}
\left (2 t +1\right ) y^{\prime \prime }-4 \left (1+t \right ) y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.687 |
|
| 5482 |
\begin{align*}
y^{\prime }&=\ln \left (x \right ) x^{2} \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.687 |
|
| 5483 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (-x +3\right ) y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.687 |
|
| 5484 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+25 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.687 |
|
| 5485 |
\begin{align*}
x y {y^{\prime }}^{2}+\left (x +y\right ) y^{\prime }+1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.687 |
|
| 5486 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (2 x^{2}+1\right ) y^{\prime }}{x^{3}}-\frac {\left (-2 x^{2}+1\right ) y}{4 x^{6}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.687 |
|
| 5487 |
\begin{align*}
y^{\prime \prime }-25 y&=\frac {1}{1-{\mathrm e}^{5 t}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.687 |
|
| 5488 |
\begin{align*}
2 x^{2} y^{\prime \prime }+5 y^{\prime } x -2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.687 |
|
| 5489 |
\begin{align*}
x^{\prime }+3 x&={\mathrm e}^{-2 t} \\
x \left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.687 |
|
| 5490 |
\begin{align*}
y^{\prime \prime }-\frac {y^{\prime }}{\sqrt {x}}+\frac {\left (x +\sqrt {x}-8\right ) y}{4 x^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.687 |
|
| 5491 |
\begin{align*}
\left (-y+y^{\prime } x \right )^{2}+x^{2} y y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.687 |
|
| 5492 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=10 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.687 |
|
| 5493 |
\begin{align*}
y^{\prime \prime \prime \prime }+6 y^{\prime \prime \prime }+9 y^{\prime \prime }&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime }\left (\infty \right ) &= 1 \\
y^{\prime \prime }\left (0\right ) &= 6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.687 |
|
| 5494 |
\begin{align*}
9 y^{\prime \prime }+6 y^{\prime }+4 y&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.688 |
|
| 5495 |
\begin{align*}
y^{\prime }&=\frac {1}{x^{2}} \\
y \left (1\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.688 |
|
| 5496 |
\begin{align*}
{y^{\prime }}^{2}+y^{\prime } x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.688 |
|
| 5497 |
\begin{align*}
y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y&=\left (-x^{2}+2\right ) {\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.688 |
|
| 5498 |
\begin{align*}
x +\cos \left (x \right ) y+\sin \left (x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.688 |
|
| 5499 |
\begin{align*}
x^{\prime }&=3 x-4 y \\
y^{\prime }&=x+3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.688 |
|
| 5500 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}-2 x_{2} \\
x_{2}^{\prime }&=2 x_{1}-2 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.688 |
|