| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 6601 |
\begin{align*}
5 y+4 y^{\prime }+y^{\prime \prime }&=8 \,{\mathrm e}^{-3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.339 |
|
| 6602 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&=-1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.339 |
|
| 6603 |
\begin{align*}
x \ln \left (x \right ) y^{\prime \prime }&=y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.339 |
|
| 6604 |
\begin{align*}
x^{\prime }&=2 x+\frac {3 y}{2} \\
y^{\prime }&=-\frac {3 x}{2}-y \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 3 \\
y \left (0\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.339 |
|
| 6605 |
\begin{align*}
y^{\prime \prime }-y&=\frac {1}{\left (1-{\mathrm e}^{2 x}\right )^{{3}/{2}}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.339 |
|
| 6606 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}-4 x_{2} \\
x_{2}^{\prime }&=x_{1}-x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.340 |
|
| 6607 |
\begin{align*}
z y^{\prime \prime }-2 y^{\prime }+9 z^{5} y&=0 \\
\end{align*} Series expansion around \(z=0\). |
✓ |
✓ |
✓ |
✓ |
0.340 |
|
| 6608 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 y^{\prime } x +2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.340 |
|
| 6609 |
\begin{align*}
y^{\prime \prime }+\left (x^{2}+1\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.340 |
|
| 6610 |
\begin{align*}
x^{\prime }&=12 x-9 y \\
y^{\prime }&=4 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.340 |
|
| 6611 |
\begin{align*}
9 x^{2} \left (x +1\right ) y^{\prime \prime }+3 x \left (-x^{2}+11 x +5\right ) y^{\prime }+\left (-7 x^{2}+16 x +1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.340 |
|
| 6612 |
\begin{align*}
y^{\prime \prime } x +\left (x -6\right ) y^{\prime }-3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.340 |
|
| 6613 |
\begin{align*}
y^{\prime \prime }-y^{\prime } x +y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.340 |
|
| 6614 |
\begin{align*}
x^{\prime }&=-3 x-y \\
y^{\prime }&=x-5 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.340 |
|
| 6615 |
\begin{align*}
y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime }&=x +\cos \left (x \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -1 \\
y^{\prime \prime }\left (0\right ) &= 2 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.340 |
|
| 6616 |
\begin{align*}
3 {y^{\prime }}^{5}-y^{\prime } y+1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.340 |
|
| 6617 |
\begin{align*}
x^{\prime \prime }+2 x^{\prime }+x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.340 |
|
| 6618 | \begin{align*}
4 y^{3} {y^{\prime }}^{2}-4 y^{\prime } x +y&=0 \\
\end{align*} | ✓ | ✓ | ✓ | ✗ | 0.340 |
|
| 6619 |
\begin{align*}
4 y+y^{\prime \prime }&=8 \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.341 |
|
| 6620 |
\begin{align*}
5 y+2 y^{\prime }+y^{\prime \prime }&=4 \cos \left (2 x \right ) {\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.341 |
|
| 6621 |
\begin{align*}
y^{\prime }+\cot \left (x \right ) y&=5 \,{\mathrm e}^{\cos \left (x \right )} \\
y \left (\frac {\pi }{2}\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.341 |
|
| 6622 |
\begin{align*}
y^{\prime \prime }+\left ({\mathrm e}^{x}-1\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.341 |
|
| 6623 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (x^{2}+\frac {1}{4}\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.341 |
|
| 6624 |
\begin{align*}
y^{\prime \prime }+8 y^{\prime }-9 y&=0 \\
y \left (1\right ) &= 2 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.341 |
|
| 6625 |
\begin{align*}
y x -x^{2} y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.341 |
|
| 6626 |
\begin{align*}
y y^{\prime \prime }-{y^{\prime }}^{2}+\left (g \left (x \right )+f \left (x \right ) y^{2}\right ) y^{\prime }-y \left (g^{\prime }\left (x \right )-f^{\prime }\left (x \right ) y^{2}\right )&=0 \\
\end{align*} |
✗ |
✗ |
✓ |
✗ |
0.341 |
|
| 6627 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&=0 \\
y \left (0\right ) &= 1 \\
y \left (2\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.341 |
|
| 6628 |
\begin{align*}
x^{\prime }&=x+y \\
y^{\prime }&=4 x-2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.341 |
|
| 6629 |
\begin{align*}
x^{\prime }&=-2 x+y \\
y^{\prime }&=-5 x+4 y \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.341 |
|
| 6630 |
\begin{align*}
s^{\prime \prime }+b s^{\prime }+\omega ^{2} s&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.341 |
|
| 6631 |
\begin{align*}
y^{\prime \prime }+y&=\frac {1}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.341 |
|
| 6632 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }-2 y&=x^{2}+4 x +3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.341 |
|
| 6633 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=4-8 x +6 x \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.341 |
|
| 6634 |
\begin{align*}
x {y^{\prime }}^{3}-2 y {y^{\prime }}^{2}+4 x^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.341 |
|
| 6635 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }-10 y&=7 \,{\mathrm e}^{2 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.341 |
|
| 6636 |
\begin{align*}
y^{\prime \prime }-4 y&=x \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.342 |
|
| 6637 | \begin{align*}
x_{1}^{\prime }&=7 x_{1}+x_{2} \\
x_{2}^{\prime }&=-4 x_{1}+3 x_{2} \\
\end{align*} | ✓ | ✓ | ✓ | ✓ | 0.342 |
|
| 6638 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime } x +2 \alpha y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.342 |
|
| 6639 |
\begin{align*}
y^{\prime \prime }+t^{3} y^{\prime }+3 t^{2} y&=0 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.342 |
|
| 6640 |
\begin{align*}
x^{\prime }&=6 x-3 y \\
y^{\prime }&=2 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.342 |
|
| 6641 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&=40 \sin \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.342 |
|
| 6642 |
\begin{align*}
x_{1}^{\prime }&=9 x_{1}-2 x_{2} \\
x_{2}^{\prime }&=5 x_{1}-2 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.342 |
|
| 6643 |
\begin{align*}
y^{\prime \prime }-5 y^{\prime }+6 y&=\delta \left (t -2\right ) \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.342 |
|
| 6644 |
\begin{align*}
y^{\prime \prime }+4 y&=4 \operatorname {Heaviside}\left (t -\pi \right )+2 \delta \left (t -\pi \right ) \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.342 |
|
| 6645 |
\begin{align*}
y^{\prime } y+y^{\prime \prime }&=-12 f \left (x \right ) y+y^{3}+12 f^{\prime }\left (x \right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.342 |
|
| 6646 |
\begin{align*}
x^{\prime }&=x+3 y \\
y^{\prime }&=3 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.342 |
|
| 6647 |
\begin{align*}
\left (x^{3}+1\right ) y^{\prime \prime }+7 x^{2} y^{\prime }+9 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.342 |
|
| 6648 |
\begin{align*}
6 x^{2} y^{\prime \prime }+x \left (10-x \right ) y^{\prime }-\left (2+x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.342 |
|
| 6649 |
\begin{align*}
2 y^{\prime \prime } x -\left (2 x +3\right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.342 |
|
| 6650 |
\begin{align*}
4 x^{2} y^{\prime \prime }+4 y^{\prime } x +\left (4 x^{2}-25\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.342 |
|
| 6651 |
\begin{align*}
y^{\prime \prime }+y^{\prime } x +\left (2 x^{2}+1\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.342 |
|
| 6652 |
\begin{align*}
y^{\prime \prime }+9 y&=24 \sin \left (t \right ) \left (\operatorname {Heaviside}\left (t \right )+\operatorname {Heaviside}\left (t -\pi \right )\right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.342 |
|
| 6653 |
\begin{align*}
y^{\prime \prime }-7 y^{\prime }+10 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.342 |
|
| 6654 |
\begin{align*}
x_{1}^{\prime }&=5 x_{1}-x_{2} \\
x_{2}^{\prime }&=3 x_{1}+x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.342 |
|
| 6655 |
\begin{align*}
x_{1}^{\prime }&=\frac {x_{1}}{2}+\frac {x_{2}}{2} \\
x_{2}^{\prime }&=2 x_{1}-x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.342 |
|
| 6656 |
\begin{align*}
y^{\prime \prime }&=x y^{2}-y^{\prime } \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.342 |
|
| 6657 | \begin{align*}
y^{\prime \prime }+2 y^{\prime }-3 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (1\right ) &= 2 \\
\end{align*} | ✓ | ✓ | ✓ | ✓ | 0.342 |
|
| 6658 |
\begin{align*}
y^{\prime \prime }-y x&=0 \\
\end{align*} Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.342 |
|
| 6659 |
\begin{align*}
y^{\prime \prime }-y&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.342 |
|
| 6660 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 y^{\prime } x +56 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.342 |
|
| 6661 |
\begin{align*}
4 \left (-x^{2}+1\right ) y^{\prime \prime }-8 y^{\prime } x +3 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.342 |
|
| 6662 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+13 y&=24 \,{\mathrm e}^{2 x} \sin \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.342 |
|
| 6663 |
\begin{align*}
x^{2} y^{\prime \prime }+{y^{\prime }}^{2}-2 y^{\prime } x&=0 \\
y \left (2\right ) &= 5 \\
y^{\prime }\left (2\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.342 |
|
| 6664 |
\begin{align*}
4 t^{2} y^{\prime \prime }+y&=0 \\
y \left (1\right ) &= 2 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.342 |
|
| 6665 |
\begin{align*}
g^{\prime \prime }-3 g^{\prime }+2 g&=\delta \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.342 |
|
| 6666 |
\begin{align*}
\left (4 x^{2}+16 x +17\right ) y^{\prime \prime }&=8 y \\
y \left (-2\right ) &= 1 \\
y^{\prime }\left (-2\right ) &= 0 \\
\end{align*} Series expansion around \(x=-2\). |
✓ |
✓ |
✓ |
✓ |
0.343 |
|
| 6667 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+3 y&=0 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.343 |
|
| 6668 |
\begin{align*}
x^{\prime }&=-x \\
y^{\prime }&=2 y \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 4 \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.343 |
|
| 6669 |
\begin{align*}
y_{1}^{\prime }&=3 y_{1}+4 y_{2} \\
y_{2}^{\prime }&=-y_{1}+7 y_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.343 |
|
| 6670 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&=5 \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.343 |
|
| 6671 |
\begin{align*}
\left (x -1\right ) y^{\prime \prime }+y^{\prime }&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.343 |
|
| 6672 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+4 y^{\prime } x +\left (x^{2}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.343 |
|
| 6673 |
\begin{align*}
x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+6 y^{\prime } x -6 y&={\mathrm e}^{-x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.343 |
|
| 6674 |
\begin{align*}
\sin \left (x \right )^{2} y^{\prime \prime }&=2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.343 |
|
| 6675 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.343 |
|
| 6676 | \begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 y^{\prime } x +6 y&=0 \\
\end{align*} Series expansion around \(x=0\). | ✓ | ✓ | ✓ | ✓ | 0.343 |
|
| 6677 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=2+x \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.343 |
|
| 6678 |
\begin{align*}
\left (-x^{2}+2 x \right ) y^{\prime \prime }-6 \left (x -1\right ) y^{\prime }-4 y&=0 \\
y \left (1\right ) &= 0 \\
y^{\prime }\left (1\right ) &= 1 \\
\end{align*} Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.344 |
|
| 6679 |
\begin{align*}
y^{\prime }-y x&=x^{3} y^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.344 |
|
| 6680 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+9 y&=4 \,{\mathrm e}^{-3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.344 |
|
| 6681 |
\(\left [\begin {array}{cc} 4 & -2 \\ 1 & 2 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.344 |
|
| 6682 |
\begin{align*}
x^{\prime }&=5 x-4 y \\
y^{\prime }&=x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.344 |
|
| 6683 |
\begin{align*}
y&=2 y^{\prime } x +{y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.344 |
|
| 6684 |
\begin{align*}
\left (x^{2}+4\right ) y^{\prime \prime }+y&=x \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.344 |
|
| 6685 |
\begin{align*}
y^{\prime \prime } x +2 y^{\prime }+y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.344 |
|
| 6686 |
\begin{align*}
y^{\prime \prime }+{\mathrm e}^{x} y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.344 |
|
| 6687 |
\begin{align*}
z^{\prime \prime }-3 z^{\prime }+2 z&=4 \sin \left (3 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.344 |
|
| 6688 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&={\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.344 |
|
| 6689 |
\begin{align*}
6 y-5 y^{\prime }+y^{\prime \prime }&=x^{2}+3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.344 |
|
| 6690 |
\begin{align*}
4 y^{\prime \prime }+4 y^{\prime }+y&=3 x \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.345 |
|
| 6691 |
\begin{align*}
5 y+2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{x} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.345 |
|
| 6692 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+2 y&={\mathrm e}^{x} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.345 |
|
| 6693 |
\begin{align*}
y_{1}^{\prime }&=-7 y_{1}+4 y_{2} \\
y_{2}^{\prime }&=-y_{1}-11 y_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.345 |
|
| 6694 |
\begin{align*}
\left (-t^{2}+1\right ) y^{\prime \prime }-2 t y^{\prime }+6 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.345 |
|
| 6695 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+t y&=0 \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.345 |
|
| 6696 | \begin{align*}
2 y^{\prime \prime }+y^{\prime }-10 y&=0 \\
y \left (1\right ) &= 5 \\
y^{\prime }\left (1\right ) &= 2 \\
\end{align*} | ✓ | ✓ | ✓ | ✓ | 0.345 |
|
| 6697 |
\begin{align*}
x^{2} {y^{\prime }}^{2}-3 x y^{\prime } y+x^{3}+2 y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.345 |
|
| 6698 |
\begin{align*}
y y^{\prime \prime }&=-f \left (x \right ) y^{3}+y^{4}-f \left (x \right ) y^{\prime }+{y^{\prime }}^{2}+y f^{\prime \prime }\left (x \right ) \\
\end{align*} |
✗ |
✗ |
✓ |
✗ |
0.345 |
|
| 6699 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&=3 \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.345 |
|
| 6700 |
\begin{align*}
x^{\prime }&=-3 x+4 y \\
y^{\prime }&=-2 x+3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.345 |
|