| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 6601 |
\begin{align*}
y^{\prime \prime }-4 y&=8 x \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.427 |
|
| 6602 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+5 y&={\mathrm e}^{x} \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.427 |
|
| 6603 |
\begin{align*}
y&=y^{\prime } x +k {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.427 |
|
| 6604 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime } x +2 \alpha y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.428 |
|
| 6605 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}-3 x_{2} \\
x_{2}^{\prime }&=x_{1}-2 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.428 |
|
| 6606 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}-4 x_{2} \\
x_{2}^{\prime }&=x_{1}-3 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.428 |
|
| 6607 |
\begin{align*}
x_{1}^{\prime }&=-2 x_{1}-7 x_{2} \\
x_{2}^{\prime }&=-x_{1}+4 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.428 |
|
| 6608 |
\begin{align*}
x_{1}^{\prime }&=-4 x_{2} \\
x_{2}^{\prime }&=4 x_{1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.428 |
|
| 6609 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&={\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.428 |
|
| 6610 |
\begin{align*}
y^{\prime \prime \prime \prime }&=\cos \left (x \right )+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.428 |
|
| 6611 |
\begin{align*}
2 y^{\prime \prime } x +y^{\prime }-x^{2} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.428 |
|
| 6612 |
\begin{align*}
\left (x +1\right ) y^{\prime \prime }-\left (-x +2\right ) y^{\prime }+y&=0 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.428 |
|
| 6613 |
\begin{align*}
x^{\prime }&=12 x-9 y \\
y^{\prime }&=4 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.428 |
|
| 6614 |
\begin{align*}
\left (x^{2}+1\right ) {y^{\prime }}^{2}-2 y y^{\prime } x +y^{2}-1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.428 |
|
| 6615 |
\begin{align*}
\left (x^{2}-x \right ) y^{\prime \prime }+\left (2 x^{2}+4 x -3\right ) y^{\prime }+8 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.428 |
|
| 6616 |
\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*} |
✓ |
✓ |
✓ |
✓ |
0.428 |
|
| 6617 |
\begin{align*}
{y^{\prime }}^{3}-\left (x^{2}+y x +y^{2}\right ) {y^{\prime }}^{2}+\left (x y^{3}+y^{2} x^{2}+x^{3} y\right ) y^{\prime }-x^{3} y^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.428 |
|
| 6618 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&={\mathrm e}^{2 x} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.428 |
|
| 6619 |
\begin{align*}
x^{\prime }&=y \\
y^{\prime }&=-4 x+4 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.428 |
|
| 6620 |
\begin{align*}
y^{\prime \prime }-7 y^{\prime }+6 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.428 |
|
| 6621 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&=36 x \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.428 |
|
| 6622 |
\begin{align*}
4 y+y^{\prime \prime }&=16 x \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.428 |
|
| 6623 |
\begin{align*}
2 x y \,{\mathrm e}^{x^{2} y}+y^{2} {\mathrm e}^{x y^{2}}+1+\left (x^{2} {\mathrm e}^{x^{2} y}+2 x y \,{\mathrm e}^{x y^{2}}-2 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.429 |
|
| 6624 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+3 y&=\frac {1}{1+{\mathrm e}^{-x}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.429 |
|
| 6625 |
\begin{align*}
x^{\prime }&=-\lambda _{1} x \\
y^{\prime }&=\lambda _{1} x-\lambda _{2} y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.429 |
|
| 6626 |
\begin{align*}
x_{1}^{\prime }&=-x_{1}+3 x_{2} \\
x_{2}^{\prime }&=-3 x_{1}+5 x_{2} \\
\end{align*} With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 1 \\
x_{2} \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.429 |
|
| 6627 |
\(\left [\begin {array}{cc} 2 & 2 \\ 0 & -4 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.429 |
|
| 6628 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime }-2 y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.429 |
|
| 6629 |
\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*} |
✓ |
✓ |
✓ |
✓ |
0.429 |
|
| 6630 |
\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*} |
✓ |
✓ |
✓ |
✓ |
0.429 |
|
| 6631 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+3 y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.429 |
|
| 6632 |
\begin{align*}
x^{\prime \prime }+x&=2 \sin \left (t \right )+2 \cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.429 |
|
| 6633 |
\begin{align*}
x^{\prime \prime }-s x&=0 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✗ |
0.429 |
|
| 6634 |
\begin{align*}
y^{\prime \prime \prime }-y&=5 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.429 |
|
| 6635 |
\begin{align*}
x^{\prime }&=x+y \\
y^{\prime }&=9 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.429 |
|
| 6636 |
\begin{align*}
y^{\prime \prime }+y&=\csc \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.429 |
|
| 6637 |
\begin{align*}
4 y+y^{\prime \prime }&=15 \,{\mathrm e}^{x}-8 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.429 |
|
| 6638 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.429 |
|
| 6639 |
\begin{align*}
y^{\prime \prime }&={y^{\prime }}^{2} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.429 |
|
| 6640 |
\begin{align*}
2 x^{2} y^{\prime \prime }+y^{\prime } x -\left (-2 x^{2}+3\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.430 |
|
| 6641 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime } x +3 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.430 |
|
| 6642 |
\begin{align*}
x^{4} y^{\prime \prime \prime \prime }+6 x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-4 y^{\prime } x +4 y&=F \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.430 |
|
| 6643 |
\begin{align*}
y^{\prime \prime }+\left (1+4 i\right ) y^{\prime }+y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.430 |
|
| 6644 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.430 |
|
| 6645 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }-10 y^{\prime } x +28 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.430 |
|
| 6646 |
\begin{align*}
{y^{\prime }}^{2}+y^{2}&=4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.430 |
|
| 6647 |
\begin{align*}
y_{1}^{\prime }&=2 y_{1}-3 y_{2} \\
y_{2}^{\prime }&=y_{1}-2 y_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.430 |
|
| 6648 |
\begin{align*}
y^{\prime }&=x +1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.430 |
|
| 6649 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=2 \,{\mathrm e}^{2 x} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.430 |
|
| 6650 |
\begin{align*}
x^{\prime }&=4 x-3 y \\
y^{\prime }&=8 x-6 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.430 |
|
| 6651 |
\begin{align*}
y^{\prime \prime }+{\mathrm e}^{x} \left (y^{\prime }+y\right )&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.430 |
|
| 6652 |
\begin{align*}
x^{\prime }&=3 x+5 y \\
y^{\prime }&=-x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.430 |
|
| 6653 |
\begin{align*}
y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y&={\mathrm e}^{x}+{\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.430 |
|
| 6654 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right )^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.430 |
|
| 6655 |
\begin{align*}
6 x^{2} y^{\prime \prime }+7 y^{\prime } x -\left (x^{2}+2\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.431 |
|
| 6656 |
\begin{align*}
\left (8 x^{2}+1\right ) y^{\prime \prime }+2 y&=0 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.431 |
|
| 6657 |
\begin{align*}
y^{\prime \prime }-\left (x -3\right ) y^{\prime }-y&=0 \\
\end{align*} Series expansion around \(x=3\). |
✓ |
✓ |
✓ |
✓ |
0.431 |
|
| 6658 |
\begin{align*}
x_{1}^{\prime }&=-4 x_{1}-x_{2} \\
x_{2}^{\prime }&=x_{1}-6 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.431 |
|
| 6659 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&=40 \sin \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.431 |
|
| 6660 |
\begin{align*}
4 y+2 \left (1-2 x \right ) y^{\prime }+\left (1-2 x \right ) \left (1-x \right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.431 |
|
| 6661 |
\begin{align*}
4 \left (1-y\right ) y y^{\prime \prime }&=3 \left (1-2 y\right ) {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.431 |
|
| 6662 |
\begin{align*}
\operatorname {A4} y+\operatorname {A3} x y^{\prime }+\operatorname {A2} \,x^{2} y^{\prime \prime }+\operatorname {A1} \,x^{3} y^{\prime \prime \prime }+x^{4} y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.431 |
|
| 6663 |
\begin{align*}
\left (2+x \right ) \sin \left (y\right )+x \cos \left (y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.431 |
|
| 6664 |
\begin{align*}
y^{\prime \prime }+y^{\prime } x +y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.431 |
|
| 6665 |
\begin{align*}
x^{\prime }&=2 x+4 y \\
y^{\prime }&=-x+6 y \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= -1 \\
y \left (0\right ) &= 6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.431 |
|
| 6666 |
\begin{align*}
x^{\prime \prime \prime \prime }-4 x^{\prime \prime \prime }+8 x^{\prime \prime }-8 x^{\prime }+4 x&=\sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.431 |
|
| 6667 |
\begin{align*}
y \left (1+{y^{\prime }}^{2}\right )&=a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.431 |
|
| 6668 |
\begin{align*}
4 y^{\prime \prime }+4 y^{\prime }+y&=0 \\
y \left (0\right ) &= 6 \\
y^{\prime }\left (0\right ) &= -5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.431 |
|
| 6669 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.431 |
|
| 6670 |
\begin{align*}
y^{\prime \prime } x +\left (2 x -1\right ) y^{\prime }&=-4 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.431 |
|
| 6671 |
\begin{align*}
x^{\prime }&=4 x-5 y \\
y^{\prime }&=x \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.431 |
|
| 6672 |
\begin{align*}
x^{\prime }&=a x+y \\
y^{\prime }&=-x+a y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.431 |
|
| 6673 |
\begin{align*}
y^{\prime \prime }-y^{\prime }+4 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.431 |
|
| 6674 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }-y&=\sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.431 |
|
| 6675 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.431 |
|
| 6676 |
\begin{align*}
x^{2} y^{\prime \prime }+3 y^{\prime } x&=2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.432 |
|
| 6677 |
\begin{align*}
x^{\prime }&=-3 x-4 y \\
y^{\prime }&=2 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.432 |
|
| 6678 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+6 y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.432 |
|
| 6679 |
\begin{align*}
x_{1}^{\prime }&=2 x_{2} \\
x_{2}^{\prime }&=-2 x_{1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.432 |
|
| 6680 |
\begin{align*}
3 x^{2} y+8 x y^{2}+\left (x^{3}+8 x^{2} y+12 y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.432 |
|
| 6681 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=\sin \left ({\mathrm e}^{-x}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.432 |
|
| 6682 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=14 \sin \left (2 x \right )-18 \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.432 |
|
| 6683 |
\begin{align*}
\left (3 x^{2}+x +1\right ) y^{\prime \prime }+\left (2+15 x \right ) y^{\prime }+12 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.432 |
|
| 6684 |
\begin{align*}
x^{\prime }&=x-2 y \\
y^{\prime }&=2 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.432 |
|
| 6685 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&=9 x^{2}-12 x +2 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.432 |
|
| 6686 |
\begin{align*}
4 y+y^{\prime \prime }&=\cos \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.432 |
|
| 6687 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{x} \sin \left (x \right ) x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.432 |
|
| 6688 |
\begin{align*}
x^{\prime \prime }-\frac {x^{\prime }}{t}&=0 \\
x \left (1\right ) &= 0 \\
x^{\prime }\left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.432 |
|
| 6689 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=12 \,{\mathrm e}^{-2 x} x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.432 |
|
| 6690 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1} \\
x_{2}^{\prime }&=-7 x_{1}+9 x_{2}+7 x_{3} \\
x_{3}^{\prime }&=2 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.433 |
|
| 6691 |
\begin{align*}
y^{\prime \prime }-y&=\sin \left (2 x \right ) x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.433 |
|
| 6692 |
\begin{align*}
y&=2 y^{\prime } x +y^{2} {y^{\prime }}^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.433 |
|
| 6693 |
\begin{align*}
4 x \left (x^{2}+1\right ) y+\left (4 x^{2}+1\right ) y^{\prime }+y^{\prime \prime } x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.433 |
|
| 6694 |
\begin{align*}
y^{\prime \prime }+4 y&=\sin \left (2 t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.433 |
|
| 6695 |
\begin{align*}
y^{\left (5\right )}-y^{\prime \prime \prime \prime }+2 y^{\prime }-y&=x^{4}-2 x +1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.433 |
|
| 6696 |
\begin{align*}
y^{\prime \prime }-4 y&=2+{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.433 |
|
| 6697 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+5 y&={\mathrm e}^{-3 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.433 |
|
| 6698 |
\begin{align*}
y^{\prime \prime }-4 y&=\sinh \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.434 |
|
| 6699 |
\begin{align*}
x^{\prime \prime }+3 x^{\prime }+5 x&=-4 \cos \left (5 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.434 |
|
| 6700 |
\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 \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.434 |
|