| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 11501 |
\begin{align*}
4 y^{\prime \prime } x +2 y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.750 |
|
| 11502 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (-v^{2}+x^{2}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.750 |
|
| 11503 |
\begin{align*}
\left (a^{2} x^{2}+2\right ) y-2 y^{\prime } x +x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.750 |
|
| 11504 |
\begin{align*}
y^{\prime \prime \prime }-27 y&=0 \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 6 \\
y^{\prime \prime }\left (0\right ) &= 18 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.750 |
|
| 11505 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }&={\mathrm e}^{-3 t}-{\mathrm e}^{3 t} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.752 |
|
| 11506 |
\begin{align*}
y^{\prime }&=a +b x +c y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.753 |
|
| 11507 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=x \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.753 |
|
| 11508 |
\begin{align*}
\left (a \,x^{n}+b \,x^{m}+c \right ) y^{\prime \prime }+\left (\lambda -x \right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
1.753 |
|
| 11509 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }&=2 \cos \left (4 x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.753 |
|
| 11510 |
\begin{align*}
y y^{\prime \prime }+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.753 |
|
| 11511 |
\begin{align*}
y^{\prime \prime } x +\sin \left (x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.753 |
|
| 11512 |
\begin{align*}
y^{\prime \prime } x +y^{\prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.753 |
|
| 11513 |
\begin{align*}
{\mathrm e}^{x^{\prime }}&=x \\
x \left (t_{0} \right ) &= a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.753 |
|
| 11514 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }-8 y&=6 \,{\mathrm e}^{-4 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.753 |
|
| 11515 |
\begin{align*}
y^{\prime } x +y&=\tan \left (x \right ) \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.754 |
|
| 11516 |
\begin{align*}
x^{\prime }&=-4 x+9 y+12 \,{\mathrm e}^{-t} \\
y^{\prime }&=-5 x+2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.754 |
|
| 11517 |
\begin{align*}
y+y^{\prime }&=t \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.754 |
|
| 11518 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+5 x_{2}+3 x_{3}-5 x_{4} \\
x_{2}^{\prime }&=2 x_{1}+3 x_{2}+2 x_{3}-4 x_{4} \\
x_{3}^{\prime }&=-x_{2}-2 x_{3}+x_{4} \\
x_{4}^{\prime }&=2 x_{1}+4 x_{2}+2 x_{3}-5 x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.754 |
|
| 11519 |
\begin{align*}
y^{\prime }+y&=\sin \left (x \right ) \\
y \left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.754 |
|
| 11520 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1} \\
x_{2}^{\prime }&=5 x_{1}+2 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.754 |
|
| 11521 |
\begin{align*}
2 \left (1-y\right )^{2} y-2 x \left (1-y\right ) y^{\prime }+2 x^{2} {y^{\prime }}^{2}+x^{2} \left (1-y\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
1.755 |
|
| 11522 |
\begin{align*}
y^{\prime \prime }+5 y^{\prime }+6 y&={\mathrm e}^{-2 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.755 |
|
| 11523 |
\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 \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.756 |
|
| 11524 |
\begin{align*}
x^{\prime }&=-5 x-y+2 \\
y^{\prime }&=3 x-y-3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.756 |
|
| 11525 |
\begin{align*}
x^{2} y^{\prime \prime }+x^{2} y^{\prime }+\left (x -2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.757 |
|
| 11526 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (x^{2}-\frac {1}{9}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.757 |
|
| 11527 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.757 |
|
| 11528 |
\begin{align*}
x^{\prime }&=2 x-y \\
y^{\prime }&=9 x+2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.757 |
|
| 11529 |
\begin{align*}
-y+\left (x +1\right ) y^{\prime }+2 \left (1-x \right ) x y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.758 |
|
| 11530 |
\begin{align*}
x^{\prime }&=x+y \\
y^{\prime }&=x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.758 |
|
| 11531 |
\begin{align*}
y^{\prime \prime }-14 y^{\prime }+49 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.758 |
|
| 11532 |
\begin{align*}
y {y^{\prime }}^{2}+\left (x -y\right ) y^{\prime }-x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.759 |
|
| 11533 |
\begin{align*}
\left (2 x^{2}+3 x \right ) y^{\prime \prime }+\left (3+6 x \right ) y^{\prime }+2 y&={\mathrm e}^{x} \left (x +1\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.759 |
|
| 11534 |
\begin{align*}
x^{\prime }+3 x+4 y&=8 \,{\mathrm e}^{t} \\
-x+y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.759 |
|
| 11535 |
\begin{align*}
y^{\prime \prime }-4 y&=8 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.759 |
|
| 11536 |
\begin{align*}
y^{\left (5\right )}-\frac {y^{\prime \prime \prime \prime }}{t}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.762 |
|
| 11537 |
\begin{align*}
2 y^{\prime \prime } x +\left (-x +3\right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.762 |
|
| 11538 |
\begin{align*}
\left (x^{2}-x \right ) y^{\prime \prime }+2 \left (2 x +1\right ) y^{\prime }+2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.762 |
|
| 11539 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.762 |
|
| 11540 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+4 y^{\prime } x +2 y&=0 \\
y \left (0\right ) &= -5 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.763 |
|
| 11541 |
\begin{align*}
t y+y^{\prime }&=1+t \\
y \left (\frac {3}{2}\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.763 |
|
| 11542 |
\begin{align*}
x_{1}^{\prime }&=2 x_{2} \\
x_{2}^{\prime }&=-2 x_{1} \\
x_{3}^{\prime }&=-3 x_{4} \\
x_{4}^{\prime }&=3 x_{3} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 1 \\
x_{2} \left (0\right ) &= 1 \\
x_{3} \left (0\right ) &= 1 \\
x_{4} \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.763 |
|
| 11543 |
\begin{align*}
24-48 y x +\left (-12 x^{2}+1\right ) \left (y^{2}+3 y^{\prime }\right )+2 x \left (-4 x^{2}+1\right ) \left (-y^{3}+y y^{\prime }+y^{\prime \prime }\right )&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.763 |
|
| 11544 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-y x&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.763 |
|
| 11545 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=\frac {1}{{\mathrm e}^{x}+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.763 |
|
| 11546 |
\begin{align*}
y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.764 |
|
| 11547 |
\begin{align*}
x^{\prime }&=x+t +1 \\
x \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.764 |
|
| 11548 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}-2 x_{2}+1 \\
x_{2}^{\prime }&=x_{1}+t \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= -{\frac {1}{2}} \\
x_{2} \left (0\right ) &= -{\frac {1}{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.764 |
|
| 11549 |
\begin{align*}
y_{1}^{\prime }&=3 y_{1}-4 y_{2} \\
y_{2}^{\prime }&=y_{1}-y_{2} \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 1 \\
y_{2} \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.764 |
|
| 11550 |
\begin{align*}
2 y {y^{\prime }}^{2}+\left (5-4 x \right ) y^{\prime }+2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.765 |
|
| 11551 |
\begin{align*}
y^{\prime \prime }-16 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.765 |
|
| 11552 |
\begin{align*}
{y^{\prime }}^{2}+3 y^{\prime } x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.766 |
|
| 11553 |
\begin{align*}
u^{\prime \prime }-\left (2 x +1\right ) u^{\prime }+\left (x^{2}+x -1\right ) u&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.766 |
|
| 11554 |
\begin{align*}
x^{2} y^{\prime \prime }-2 a x y^{\prime }+\left (-b^{2} x^{2}+a \left (1+a \right )\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.766 |
|
| 11555 |
\begin{align*}
2 y^{\prime \prime } x +\left (x +1\right ) y^{\prime }+3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.766 |
|
| 11556 |
\begin{align*}
2 x^{2} y^{\prime \prime }-y^{\prime } x +\left (-x^{2}+1\right ) y&=x^{2} \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.766 |
|
| 11557 |
\begin{align*}
8 {y^{\prime }}^{3} x -12 y {y^{\prime }}^{2}+9 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.767 |
|
| 11558 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }-8 y&=8 x^{2}-3 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.767 |
|
| 11559 |
\begin{align*}
5 {y^{\prime }}^{2}+3 y^{\prime } x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.768 |
|
| 11560 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+2 y^{\prime } x -2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.768 |
|
| 11561 |
\begin{align*}
x^{\prime }&=5 x-4 y \\
y^{\prime }&=x+2 z \\
z^{\prime }&=2 y+5 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.768 |
|
| 11562 |
\begin{align*}
x^{2} y^{\prime \prime }+7 y^{\prime } x +8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.768 |
|
| 11563 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime }+\left (-1+x \right ) y&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.769 |
|
| 11564 |
\begin{align*}
4 y^{3} {y^{\prime }}^{2}-4 y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.769 |
|
| 11565 |
\begin{align*}
-x^{2} y^{\prime }+x^{3} y^{\prime \prime }&=-x^{2}+3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.769 |
|
| 11566 |
\begin{align*}
t^{2} y^{\prime \prime }+y^{\prime } t -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.769 |
|
| 11567 |
\begin{align*}
N_{1}^{\prime }&=4 N_{1}-6 N_{2} \\
N_{2}^{\prime }&=8 N_{1}-10 N_{2} \\
\end{align*}
With initial conditions \begin{align*}
N_{1} \left (0\right ) &= 100000 \\
N_{2} \left (0\right ) &= 1000 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.769 |
|
| 11568 |
\begin{align*}
\left (x +1\right ) y^{\prime \prime }-x^{2} y^{\prime }+3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.770 |
|
| 11569 |
\begin{align*}
x^{\prime }&=y+z \\
y^{\prime }&=x+z \\
z^{\prime }&=x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.770 |
|
| 11570 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.770 |
|
| 11571 |
\begin{align*}
x^{\prime }&=x+3 z \\
y^{\prime }&=-y \\
z^{\prime }&=-3 x+z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.771 |
|
| 11572 |
\begin{align*}
4 y+y^{\prime \prime }&=\csc \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.771 |
|
| 11573 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-6 y&=12 \,{\mathrm e}^{2 x} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 8 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.771 |
|
| 11574 |
\begin{align*}
y^{\prime \prime }-4 y&={\mathrm e}^{-6 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.771 |
|
| 11575 |
\begin{align*}
\left (9 x^{2}+1\right ) y^{\prime \prime }-18 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.772 |
|
| 11576 |
\begin{align*}
y^{\prime \prime }-y&=5 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.772 |
|
| 11577 |
\begin{align*}
y^{\prime }&=\ln \left (1+x^{2}+y^{2}\right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.773 |
|
| 11578 |
\begin{align*}
5 {y^{\prime }}^{2}+6 y^{\prime } x -2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.773 |
|
| 11579 |
\begin{align*}
\arctan \left (y x \right )+\frac {y x -2 x y^{2}}{y^{2} x^{2}+1}+\frac {\left (x^{2}-2 x^{2} y\right ) y^{\prime }}{y^{2} x^{2}+1}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.773 |
|
| 11580 |
\begin{align*}
-y+y^{\prime }&=t \,{\mathrm e}^{t} \sin \left (t \right ) \\
y \left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.773 |
|
| 11581 |
\begin{align*}
y^{\prime \prime }+\left (a \,{\mathrm e}^{\lambda x}-\lambda \right ) y^{\prime }+b \,{\mathrm e}^{2 \lambda x} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.773 |
|
| 11582 |
\begin{align*}
\left (x^{2}+4\right ) y^{\prime \prime }+2 y^{\prime } x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.773 |
|
| 11583 |
\begin{align*}
t^{2} y^{\prime \prime }-4 y^{\prime } t -6 y&=2 \ln \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.773 |
|
| 11584 |
\begin{align*}
y^{\prime }&=x +y \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.773 |
|
| 11585 |
\begin{align*}
y^{\prime \prime } x +2 y^{\prime }&=2 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.773 |
|
| 11586 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.773 |
|
| 11587 |
\(\left [\begin {array}{cc} -5 & 0 \\ 1 & 2 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
1.773 |
|
| 11588 |
\begin{align*}
2 y y^{\prime }+2 x +x^{2}+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.774 |
|
| 11589 |
\begin{align*}
y {y^{\prime }}^{2}-1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.775 |
|
| 11590 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.775 |
|
| 11591 |
\begin{align*}
\left (-a^{2}+b^{2}\right ) y+2 a \cot \left (a x \right ) y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.776 |
|
| 11592 |
\(\left [\begin {array}{cc} -2 & 0 \\ 1 & 4 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
1.776 |
|
| 11593 |
\begin{align*}
y^{\prime }&=4 \mu \left (x +1\right )-y^{2} \\
y \left (0\right ) &= 1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.776 |
|
| 11594 |
\begin{align*}
4 \left (x^{2}+1\right ) y^{\prime \prime }&=x^{2}+4 y^{\prime } x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.777 |
|
| 11595 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime }+2 y x -2 x^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.777 |
|
| 11596 |
\begin{align*}
y^{\prime \prime }+y^{\prime } x +\left (2 x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.777 |
|
| 11597 |
\begin{align*}
x^{\prime \prime }+9 x&=t \sin \left (3 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.777 |
|
| 11598 |
\begin{align*}
-2 y+y^{\prime }&=t^{3} \\
y \left (0\right ) &= 4 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.777 |
|
| 11599 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.777 |
|
| 11600 |
\begin{align*}
x^{\prime \prime }+4 x&=289 t \,{\mathrm e}^{t} \sin \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.778 |
|