| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 7601 |
\begin{align*}
y^{\prime \prime \prime }&=2 x y^{\prime \prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.564 |
|
| 7602 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+\alpha \left (\alpha +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.565 |
|
| 7603 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}+x_{2} \\
x_{2}^{\prime }&=-5 x_{1}-2 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.565 |
|
| 7604 |
\begin{align*}
y^{\prime \prime }-y&=\sin \left (2 x \right ) x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.565 |
|
| 7605 |
\begin{align*}
y_{1}^{\prime }&=1 \\
y_{2}^{\prime }&=2 y_{1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.565 |
|
| 7606 |
\begin{align*}
y^{\prime \prime \prime }-y^{\prime \prime }+4 y^{\prime }-4 y&=10 \,{\mathrm e}^{-t} \\
y \left (0\right ) &= 5 \\
y^{\prime }\left (0\right ) &= -2 \\
y^{\prime \prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.565 |
|
| 7607 |
\begin{align*}
3 y-10 y^{\prime }+3 y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.565 |
|
| 7608 |
\begin{align*}
x^{\prime }&=x-3 y \\
y^{\prime }&=3 x+7 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.565 |
|
| 7609 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=t^{2} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.565 |
|
| 7610 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&=10 \,{\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.565 |
|
| 7611 |
\begin{align*}
y^{\prime \prime }+8 y^{\prime }-9 y&=0 \\
y \left (1\right ) &= 1 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.565 |
|
| 7612 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+x y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.565 |
|
| 7613 |
\begin{align*}
x^{\prime \prime }-x&=t^{2} \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.565 |
|
| 7614 |
\begin{align*}
x^{\prime }&=12 x-15 y \\
y^{\prime }&=4 x-4 y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.565 |
|
| 7615 |
\begin{align*}
x_{1}^{\prime }&=-x_{1} \\
x_{2}^{\prime }&=-2 x_{2} \\
x_{3}^{\prime }&=x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.565 |
|
| 7616 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }-3 y&=\sin \left (2 t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.565 |
|
| 7617 |
\begin{align*}
y^{\prime \prime }-9 y&=18 x -162 x \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.565 |
|
| 7618 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-3 y&=6 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 11 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.566 |
|
| 7619 |
\begin{align*}
y^{\prime \prime }-7 y^{\prime }+6 y&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.566 |
|
| 7620 |
\begin{align*}
y_{1}^{\prime }&=y_{1}+y_{2}+2 y_{3} \\
y_{2}^{\prime }&=y_{1}+y_{2}+2 y_{3} \\
y_{3}^{\prime }&=2 y_{1}+2 y_{2}+4 y_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.566 |
|
| 7621 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+20 y&={\mathrm e}^{4 x} \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.566 |
|
| 7622 |
\begin{align*}
y^{\prime \prime }+4 y&=3 t \,{\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.566 |
|
| 7623 |
\begin{align*}
y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }&={\mathrm e}^{x}+3 \sin \left (2 x \right )+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.566 |
|
| 7624 |
\begin{align*}
x^{\prime }&=-\frac {5 x}{2}+\frac {3 y}{2} \\
y^{\prime }&=-\frac {3 x}{2}+\frac {y}{2} \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 3 \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.566 |
|
| 7625 |
\begin{align*}
y^{\prime \prime }+2 x y^{\prime }+\left (x^{2}+1\right ) y&=x^{3}+3 x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.566 |
|
| 7626 |
\begin{align*}
x^{\prime \prime }-x^{\prime }-2 x&=3 \,{\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.566 |
|
| 7627 |
\begin{align*}
{s^{\prime \prime \prime }}^{2}+{s^{\prime \prime }}^{3}&=s-3 t \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.566 |
|
| 7628 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right )^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.566 |
|
| 7629 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=8 \,{\mathrm e}^{-2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.566 |
|
| 7630 |
\(\left [\begin {array}{ccc} 3 & 0 & 0 \\ 1 & -2 & -8 \\ 0 & -5 & 1 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.566 |
|
| 7631 |
\begin{align*}
x_{1}^{\prime }&=7 x_{1}-17 x_{2} \\
x_{2}^{\prime }&=2 x_{1}+x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.566 |
|
| 7632 |
\begin{align*}
y&=x y^{\prime }-{y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.566 |
|
| 7633 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.567 |
|
| 7634 |
\begin{align*}
x^{\prime }&=-3 x+4 y \\
y^{\prime }&=-2 x+3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.567 |
|
| 7635 |
\begin{align*}
x y^{\prime \prime }+2 y^{\prime }-y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.567 |
|
| 7636 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+20 y&=3+2 \cos \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.567 |
|
| 7637 |
\begin{align*}
y^{\prime \prime }-10 y^{\prime }+25 y&=6 \,{\mathrm e}^{5 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.567 |
|
| 7638 |
\begin{align*}
y^{\prime \prime }-12 y^{\prime }+36 y&=81 \,{\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.567 |
|
| 7639 |
\begin{align*}
x^{\prime \prime }-4 x&=t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.567 |
|
| 7640 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-6 y&=0 \\
y \left (0\right ) &= 4 \\
y^{\prime }\left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.567 |
|
| 7641 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&={\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.567 |
|
| 7642 |
\begin{align*}
-y+x y^{\prime }+x^{3} y^{\prime \prime \prime }&=x \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.567 |
|
| 7643 |
\begin{align*}
y^{\prime \prime \prime }+5 y^{\prime \prime }+3 y^{\prime }-9 y&=0 \\
y \left (0\right ) &= -1 \\
y \left (1\right ) &= 0 \\
y \left (\infty \right ) &= 0 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.567 |
|
| 7644 |
\begin{align*}
y^{\prime \prime }+9 y&=18 x -3+20 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.567 |
|
| 7645 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right )^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.567 |
|
| 7646 |
\begin{align*}
y^{\prime \prime }&=x y^{\prime }+y+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.567 |
|
| 7647 |
\begin{align*}
3 y^{\prime \prime }-2 y^{\prime }+4 y&=0 \\
y \left (2\right ) &= 1 \\
y^{\prime }\left (2\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.568 |
|
| 7648 |
\begin{align*}
x_{1}^{\prime }&=x_{1}-3 x_{2} \\
x_{2}^{\prime }&=3 x_{1}+x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.568 |
|
| 7649 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }-10 y&=6 \,{\mathrm e}^{4 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.568 |
|
| 7650 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+3 y&={\mathrm e}^{-\frac {t}{2}} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.568 |
|
| 7651 |
\begin{align*}
4 y+y^{\prime \prime }&=x \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.568 |
|
| 7652 |
\begin{align*}
4 y+y^{\prime \prime }&=15 \,{\mathrm e}^{x}-8 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.568 |
|
| 7653 |
\begin{align*}
x \sin \left (x \right ) y^{\prime \prime }-x \cos \left (x \right ) y^{\prime }+\cos \left (x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.568 |
|
| 7654 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=\left (x^{2}+x \right ) {\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.568 |
|
| 7655 |
\begin{align*}
x_{1}^{\prime }&=x_{1} \\
x_{2}^{\prime }&=18 x_{1}+7 x_{2}+4 x_{3} \\
x_{3}^{\prime }&=-27 x_{1}-9 x_{2}-5 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.569 |
|
| 7656 |
\begin{align*}
9 y^{\prime \prime }-12 y^{\prime }+4 y&=0 \\
y \left (\pi \right ) &= 0 \\
y^{\prime }\left (\pi \right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.569 |
|
| 7657 |
\begin{align*}
y y^{\prime }+{y^{\prime }}^{2}&=x \left (x +y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.569 |
|
| 7658 |
\begin{align*}
12 y^{\prime \prime }+8 x y^{\prime \prime \prime }+x^{2} y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.569 |
|
| 7659 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {25}{4}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.569 |
|
| 7660 |
\begin{align*}
x y^{\prime \prime }+3 y^{\prime }+4 x^{3} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.569 |
|
| 7661 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+25 y&=2 \sin \left (\frac {t}{2}\right )-\cos \left (\frac {t}{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.569 |
|
| 7662 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=\cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.569 |
|
| 7663 |
\begin{align*}
y^{\prime \prime }+5 y^{\prime }+6 y&=5 \,{\mathrm e}^{3 t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.569 |
|
| 7664 |
\begin{align*}
y^{\prime \prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.569 |
|
| 7665 |
\begin{align*}
x y^{\prime \prime }+2 y^{\prime }+x \,{\mathrm e}^{y}&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.569 |
|
| 7666 |
\begin{align*}
x^{\prime }&=t \,{\mathrm e}^{-2 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.569 |
|
| 7667 |
\begin{align*}
y^{\prime \prime }+9 y&=27 x +18 \\
y \left (0\right ) &= 23 \\
y^{\prime }\left (0\right ) &= 21 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.569 |
|
| 7668 |
\begin{align*}
y^{\prime \prime }+5 y^{\prime }+6 y&=4+{\mathrm e}^{-t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.569 |
|
| 7669 |
\begin{align*}
3 x^{2} y^{2}+\left (2 x^{3} y+4 y^{3}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.569 |
|
| 7670 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=x \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.569 |
|
| 7671 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.569 |
|
| 7672 |
\begin{align*}
x&=1+{y^{\prime \prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.569 |
|
| 7673 |
\begin{align*}
y^{\prime }&=\frac {1}{\sqrt {-x^{2}+1}} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.570 |
|
| 7674 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+{\mathrm e}^{t} y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.570 |
|
| 7675 |
\begin{align*}
y^{\prime }&=\frac {1}{x \ln \left (x \right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.570 |
|
| 7676 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+5 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.570 |
|
| 7677 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.570 |
|
| 7678 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=x^{2} {\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.570 |
|
| 7679 |
\begin{align*}
2 x^{2} \left (x +1\right ) y^{\prime \prime }+x \left (3+7 x \right ) y^{\prime }-3 y&=x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.570 |
|
| 7680 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+5 y&={\mathrm e}^{x} \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.570 |
|
| 7681 |
\begin{align*}
5 y+4 y^{\prime }+y^{\prime \prime }&=4 \,{\mathrm e}^{-2 x} \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.570 |
|
| 7682 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.570 |
|
| 7683 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+y&=t \,{\mathrm e}^{-2 t} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.570 |
|
| 7684 |
\begin{align*}
x y^{\prime \prime }&=y^{\prime }+x \left ({y^{\prime }}^{2}+x^{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.570 |
|
| 7685 |
\begin{align*}
y_{1}^{\prime }&=5 y_{1}-6 y_{2} \\
y_{2}^{\prime }&=3 y_{1}-y_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.571 |
|
| 7686 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}+x_{2}+3 x_{3} \\
x_{2}^{\prime }&=2 x_{2}-x_{3} \\
x_{3}^{\prime }&=2 x_{3} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 1 \\
x_{2} \left (0\right ) &= 2 \\
x_{3} \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.571 |
|
| 7687 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+13 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.571 |
|
| 7688 |
\begin{align*}
y^{\prime \prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.571 |
|
| 7689 |
\begin{align*}
x^{\prime }&=9 x+4 y \\
y^{\prime }&=-6 x-y \\
z^{\prime }&=6 x+4 y+3 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.571 |
|
| 7690 |
\begin{align*}
\left (x +2\right ) y^{\prime \prime }+x y^{\prime }+3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.571 |
|
| 7691 |
\begin{align*}
x^{\prime }&=-x+y \\
y^{\prime }&=-3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.571 |
|
| 7692 |
\begin{align*}
x^{\prime }&=2 x+y \\
y^{\prime }&=-x \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.571 |
|
| 7693 |
\begin{align*}
x^{\prime \prime }+4 x&=\sin \left (2 t \right )+2 t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.571 |
|
| 7694 |
\begin{align*}
5 y+4 y^{\prime }+y^{\prime \prime }&=50 x +13 \,{\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.571 |
|
| 7695 |
\begin{align*}
y^{\prime \prime }+y&=\cot \left (x \right ) \csc \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.571 |
|
| 7696 |
\begin{align*}
x^{\prime \prime }+x {x^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.571 |
|
| 7697 |
\(\left [\begin {array}{ccc} 0 & 1 & 1 \\ 1 & 2 & 0 \\ 0 & 0 & 3 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.571 |
|
| 7698 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}-2 x_{2} \\
x_{2}^{\prime }&=4 x_{1}-x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.572 |
|
| 7699 |
\begin{align*}
\left (3 x^{2}+1\right ) y^{\prime \prime }+3 x^{2} y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.572 |
|
| 7700 |
\begin{align*}
\left (3 x^{2}+6 x +5\right ) y^{\prime \prime }+9 \left (x +1\right ) y^{\prime }+3 y&=0 \\
\end{align*}
Series expansion around \(x=-1\). |
✓ |
✓ |
✓ |
✓ |
0.572 |
|