| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 8501 |
\begin{align*}
x^{\prime \prime }-2 x^{\prime }+x&=\frac {{\mathrm e}^{t}}{2 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.518 |
|
| 8502 |
\begin{align*}
y^{\prime \prime }+9 y&=27 t^{3} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.518 |
|
| 8503 |
\begin{align*}
y^{\prime \prime }+4 y&={\mathrm e}^{3 t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.518 |
|
| 8504 |
\begin{align*}
y^{\prime \prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=\infty \). |
✗ |
✗ |
✓ |
✓ |
0.518 |
|
| 8505 |
\begin{align*}
\left (x^{2}-2 x \right ) \left (1+{y^{\prime }}^{2}\right )+1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.518 |
|
| 8506 |
\begin{align*}
y^{\prime \prime \prime \prime }+y^{\prime \prime }&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.518 |
|
| 8507 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+y&=\frac {{\mathrm e}^{t}}{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.518 |
|
| 8508 |
\begin{align*}
4 y^{\prime \prime } x +8 y^{\prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8509 |
\begin{align*}
\left (x +1\right )^{2} y^{\prime \prime }-2 \left (x +1\right ) y^{\prime }-\left (x^{2}+2 x -1\right ) y&=\left (x +1\right )^{3} {\mathrm e}^{x} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.519 |
|
| 8510 |
\begin{align*}
\left (-x^{6}+1\right ) y^{\prime \prime }-12 x^{5} y^{\prime }-30 x^{4} y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8511 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+{\mathrm e}^{-t} y&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8512 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}+2 x_{2}+4 x_{3} \\
x_{2}^{\prime }&=2 x_{1}+2 x_{3} \\
x_{3}^{\prime }&=4 x_{1}+2 x_{2}+3 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8513 |
\begin{align*}
y^{2} {y^{\prime }}^{2}+2 y y^{\prime } x +a -y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.519 |
|
| 8514 |
\begin{align*}
6 y-5 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{a x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8515 |
\begin{align*}
-2 y x -2 \left (-x^{2}+1\right ) y^{\prime }+x \left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.519 |
|
| 8516 |
\begin{align*}
1+{y^{\prime }}^{2}&=\frac {\left (a +x \right )^{2}}{2 a x +x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8517 |
\begin{align*}
y^{\prime \prime }+8 y^{\prime }+25 y&=120 \sin \left (5 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8518 |
\begin{align*}
5 y^{\prime \prime }+6 y^{\prime }+2 y&=x^{2}+6 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8519 |
\begin{align*}
y^{\prime \prime }-60 y^{\prime }-900 y&=5 \,{\mathrm e}^{10 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8520 |
\begin{align*}
\cos \left (x \right ) y^{\prime \prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8521 |
\begin{align*}
y^{\prime } x&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8522 |
\begin{align*}
x^{\prime }&=10 x-5 y \\
y^{\prime }&=8 x-12 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8523 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }+8 y&=4 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8524 |
\(\left [\begin {array}{ccc} 1 & 1 & 0 \\ 1 & 0 & 1 \\ 0 & 1 & 1 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.519 |
|
| 8525 |
\begin{align*}
x^{\prime }&=2 x+4 y+\cos \left (t \right ) \\
y^{\prime }&=-x-2 y+\sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8526 |
\begin{align*}
5 y+4 y^{\prime }+y^{\prime \prime }&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8527 |
\begin{align*}
x^{2} y^{\prime \prime \prime \prime }+1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8528 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+5 y&=8 \,{\mathrm e}^{t}+5 t \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8529 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime } x +4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8530 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-5 y^{\prime } x -4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8531 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+8 y&=8 \,{\mathrm e}^{4 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8532 |
\begin{align*}
y^{\prime \prime }+y&=2 \cos \left (x \right )-2 \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8533 |
\begin{align*}
y^{\prime }&=\frac {1}{y-3} \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8534 |
\begin{align*}
\left (x^{2}-2 x +10\right ) y^{\prime \prime }+y^{\prime } x -4 y&=0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8535 |
\begin{align*}
y^{\prime \prime } x +y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8536 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+2 y^{\prime } x -2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8537 |
\begin{align*}
x^{2} \left (x^{2}-2 x +1\right ) y^{\prime \prime }-x \left (x +3\right ) y^{\prime }+\left (x +4\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8538 |
\begin{align*}
\left (-a^{2}+x^{2}\right ) {y^{\prime }}^{2}-2 y y^{\prime } x -x^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.520 |
|
| 8539 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +y&=0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8540 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&=5 \,{\mathrm e}^{3 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8541 |
\begin{align*}
x^{2} y^{\prime \prime }+3 y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8542 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+2 y&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8543 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }-15 y&=15 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8544 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8545 |
\begin{align*}
y^{\prime \prime }+4 y&=4 \cos \left (2 t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 6 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8546 |
\begin{align*}
x^{\prime }&=2 x-y \\
y^{\prime }&=-x+2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8547 |
\begin{align*}
y^{\prime }&=z \\
z^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8548 |
\begin{align*}
y^{\prime \prime }+y&=\cot \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8549 |
\begin{align*}
\left (t^{2}+1\right ) y^{\prime \prime }-4 y^{\prime } t +6 y&=2 t \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.520 |
|
| 8550 |
\begin{align*}
y^{\prime \prime }+9 y&={\mathrm e}^{i \omega t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8551 |
\begin{align*}
y^{\prime }&=3 y-z \\
z^{\prime }&=y+3 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8552 |
\begin{align*}
y^{\prime \prime }+6 y {y^{\prime }}^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.520 |
|
| 8553 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+2 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8554 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+2 y&=x +1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8555 |
\begin{align*}
y^{\prime \prime } x +2 y^{\prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8556 |
\begin{align*}
y^{\prime \prime }+y^{\prime } t +y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.521 |
|
| 8557 |
\begin{align*}
y^{\prime } \left (y^{\prime } x -y+k \right )+a&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.521 |
|
| 8558 |
\begin{align*}
x^{3} y^{\prime \prime \prime \prime }+6 x^{2} y^{\prime \prime \prime }+6 y^{\prime \prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 8559 |
\begin{align*}
\left (y-3\right ) y^{\prime \prime }&={y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.521 |
|
| 8560 |
\begin{align*}
6 y-5 y^{\prime }+y^{\prime \prime }&=x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 8561 |
\begin{align*}
x^{\prime }&=\frac {3 x}{4}-2 y \\
y^{\prime }&=x-\frac {5 y}{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 8562 |
\begin{align*}
x^{\prime }+y&=4 \\
x-y^{\prime }&=3 \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 8563 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 8564 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+5 y&=39 \,{\mathrm e}^{t} \sin \left (t \right ) \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 8565 |
\begin{align*}
x^{\prime }&=y \\
y^{\prime }&=-x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 8566 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+8 y&={\mathrm e}^{x} x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 8567 |
\begin{align*}
g^{\prime \prime }-3 g^{\prime }+2 g&=\delta \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 8568 |
\begin{align*}
x_{1}^{\prime }&=5 x_{1}-9 x_{2} \\
x_{2}^{\prime }&=2 x_{1}-x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 8569 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+5 y&={\mathrm e}^{2 x} \tan \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 8570 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{x} \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 8571 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+3 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= {\frac {1}{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 8572 |
\begin{align*}
4 x^{2} y^{\prime \prime }+\left (-8 x^{2}+4 x \right ) y^{\prime }+\left (4 x^{2}-4 x -1\right ) y&=4 \sqrt {x}\, {\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.522 |
|
| 8573 |
\begin{align*}
x^{\prime }-x+2 y&=0 \\
y^{\prime }+y-x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 8574 |
\begin{align*}
x^{2} y^{\prime }-\sqrt {x}&=3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 8575 |
\begin{align*}
6 y-5 y^{\prime }+y^{\prime \prime }&=4 \,{\mathrm e}^{-8 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 8576 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }-y&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 8577 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+y&={\mathrm e}^{i \omega t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 8578 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 8579 |
\begin{align*}
x^{\prime }&=-y \\
y^{\prime }&=13 x+4 y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 8580 |
\begin{align*}
x_{1}^{\prime }&=x_{2}+x_{3} \\
x_{2}^{\prime }&=x_{1}+x_{3} \\
x_{3}^{\prime }&=x_{1}+x_{2} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 10 \\
x_{2} \left (0\right ) &= 12 \\
x_{3} \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 8581 |
\begin{align*}
2 y^{\prime \prime }+y^{\prime }-4 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 8582 |
\begin{align*}
4 x^{2} \left (x +1\right ) y^{\prime \prime }+4 x^{2} y^{\prime }+\left (-5 x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 8583 |
\begin{align*}
y^{\prime \prime }+2 x^{2} y^{\prime }+2 y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 8584 |
\begin{align*}
y^{\prime }+2 \left (x -1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 8585 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+5 y&=6 \sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 8586 |
\begin{align*}
2 y+y^{\prime }&={\mathrm e}^{x} \\
y \left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 8587 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+2 y&=0 \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 2+3 \sqrt {2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 8588 |
\begin{align*}
c y^{\prime }&=a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 8589 |
\begin{align*}
y^{\prime \prime }&=\frac {\left (4 x^{6}-8 x^{5}+12 x^{4}+4 x^{3}+7 x^{2}-20 x +4\right ) y}{4 x^{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.523 |
|
| 8590 |
\begin{align*}
b x +a y {y^{\prime }}^{2}+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.523 |
|
| 8591 |
\begin{align*}
y y^{\prime \prime }+y^{2}-a x -b&=0 \\
\end{align*} |
✗ |
✗ |
✓ |
✗ |
0.523 |
|
| 8592 |
\(\left [\begin {array}{ccc} -2 & 5 & 5 \\ -1 & 4 & 5 \\ 3 & -3 & 2 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.523 |
|
| 8593 |
\begin{align*}
T^{\prime }&={\mathrm e}^{-t} \sin \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 8594 |
\begin{align*}
x^{\prime }&=2 y \\
y^{\prime }&=-2 x \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 0 \\
\end{align*} |
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✓ |
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0.523 |
|
| 8595 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y^{\prime } x&=0 \\
\end{align*} |
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0.523 |
|
| 8596 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
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0.523 |
|
| 8597 |
\begin{align*}
y^{\prime \prime }+4 y&=\sin \left (2 t \right ) \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*}
Using Laplace transform method. |
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0.523 |
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| 8598 |
\begin{align*}
x^{\prime \prime }+x&=2 \sin \left (t \right )+2 \cos \left (t \right ) \\
\end{align*} |
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0.523 |
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| 8599 |
\begin{align*}
\left (x^{2}-4\right ) y^{\prime \prime }+y&=0 \\
\end{align*}
Series expansion around \(x=1\). |
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0.523 |
|
| 8600 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+9 y&=2 \sin \left (x \right ) {\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|