| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 7301 |
\begin{align*}
y^{\prime \prime }+y&=\sqrt {2}\, \sin \left (\sqrt {2}\, t \right ) \\
y \left (0\right ) &= 10 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.545 |
|
| 7302 |
\begin{align*}
y^{\prime \prime }&=-\frac {3 y}{16 x^{2} \left (x -1\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.545 |
|
| 7303 |
\begin{align*}
x^{\prime \prime }-x&={\mathrm e}^{k t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.545 |
|
| 7304 |
\begin{align*}
3 y^{\prime \prime }-4 y^{\prime }+2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.545 |
|
| 7305 |
\begin{align*}
y^{\prime \prime }-y&=\sin \left (t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.545 |
|
| 7306 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=4-{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.545 |
|
| 7307 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }-8 y&=6 \,{\mathrm e}^{-4 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.545 |
|
| 7308 |
\begin{align*}
y^{\prime \prime }-5 y^{\prime }-6 y&=10 t \,{\mathrm e}^{4 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.545 |
|
| 7309 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }-y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.546 |
|
| 7310 |
\begin{align*}
y^{\prime \prime }-2 t y^{\prime }+\lambda y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.546 |
|
| 7311 |
\begin{align*}
y^{\prime \prime }+5 y^{\prime }+4 y&=t^{2} {\mathrm e}^{7 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.546 |
|
| 7312 |
\begin{align*}
\left (x -2\right ) y^{\prime }&=y x \\
y \left (0\right ) &= 4 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.546 |
|
| 7313 |
\begin{align*}
y y^{\prime \prime }+4 {y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.546 |
|
| 7314 |
\begin{align*}
\left (3 x -1\right ) y^{\prime \prime }-\left (3 x +2\right ) y^{\prime }-\left (6 x -8\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.546 |
|
| 7315 |
\begin{align*}
\left (x^{3}+1\right ) y^{\prime \prime }+7 x^{2} y^{\prime }+9 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.546 |
|
| 7316 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+8 y&={\mathrm e}^{-t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.546 |
|
| 7317 |
\begin{align*}
x^{4} y^{\prime \prime \prime \prime }+6 x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }-9 x y^{\prime }+9 y&=12 x \sin \left (x^{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.546 |
|
| 7318 |
\begin{align*}
\left (x^{2}-2 x +2\right ) y^{\prime \prime }+\left (1-x \right ) y^{\prime }-3 y&=0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.546 |
|
| 7319 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }-4 y&=-32 t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.546 |
|
| 7320 |
\begin{align*}
8 y^{\prime \prime }+6 y^{\prime }+y&=5 t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.546 |
|
| 7321 |
\begin{align*}
y^{\prime \prime }+2 x y^{\prime }+\left (x^{2}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.546 |
|
| 7322 |
\begin{align*}
x y {y^{\prime }}^{2}+\left (3 x^{2}-2 y^{2}\right ) y^{\prime }-6 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.546 |
|
| 7323 |
\begin{align*}
2 n y-2 x y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.546 |
|
| 7324 |
\begin{align*}
2 y-x y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.546 |
|
| 7325 |
\begin{align*}
x^{\prime }-x-2 y&=0 \\
y^{\prime }-2 y-3 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.546 |
|
| 7326 |
\begin{align*}
3 y^{\prime \prime }-4 y^{\prime }+y&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.546 |
|
| 7327 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{x} \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.546 |
|
| 7328 |
\begin{align*}
x^{\prime }&=-x-3 y \\
y^{\prime }&=x-y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.546 |
|
| 7329 |
\(\left [\begin {array}{ccc} 0 & 1 & 0 \\ 1 & -2 & 0 \\ 0 & 0 & 3 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.546 |
|
| 7330 |
\(\left [\begin {array}{ccc} 0 & 1 & 0 \\ 1 & -2 & 0 \\ 0 & 0 & 3 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.546 |
|
| 7331 |
\begin{align*}
x^{2} y^{\prime \prime }-3 x y^{\prime }&=\frac {6 y^{2}}{x^{2}}-4 y \\
y \left (1\right ) &= 1 \\
y^{\prime }\left (1\right ) &= 4 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
0.546 |
|
| 7332 |
\begin{align*}
\left (x +2\right ) y^{\prime \prime }+x y^{\prime }+3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.547 |
|
| 7333 |
\begin{align*}
\left (x^{3}+1\right ) y^{\prime \prime }+7 x^{2} y^{\prime }+9 y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.547 |
|
| 7334 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&={\mathrm e}^{x} \sin \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.547 |
|
| 7335 |
\begin{align*}
\sin \left (y\right )+\cos \left (x \right ) y+\left (x \cos \left (y\right )+\sin \left (x \right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.547 |
|
| 7336 |
\begin{align*}
y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }-3 y&=\cosh \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.547 |
|
| 7337 |
\begin{align*}
a y+12 x^{2} y^{\prime \prime }+8 x^{3} y^{\prime \prime \prime }+x^{4} y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.547 |
|
| 7338 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=4 \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.547 |
|
| 7339 |
\begin{align*}
x^{2} y^{\prime \prime }-x y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.547 |
|
| 7340 |
\begin{align*}
y^{\prime \prime }+x^{3} y^{\prime }+x^{2} y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.547 |
|
| 7341 |
\(\left [\begin {array}{ccc} 3 & 5 & -2 \\ 0 & 2 & 0 \\ 0 & 2 & 1 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.547 |
|
| 7342 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+3 y&={\mathrm e}^{-2 t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.547 |
|
| 7343 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+2 y&={\mathrm e}^{x} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.547 |
|
| 7344 |
\begin{align*}
x^{\prime }&=y \\
y^{\prime }&=-x \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.547 |
|
| 7345 |
\begin{align*}
x^{\prime }&=8 x-y \\
y^{\prime }&=4 x+12 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.547 |
|
| 7346 |
\begin{align*}
y^{\prime \prime }+y&=\csc \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.547 |
|
| 7347 |
\begin{align*}
y y^{\prime \prime }-2 y y^{\prime } \ln \left (y\right )&={y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.547 |
|
| 7348 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.547 |
|
| 7349 |
\begin{align*}
2 x^{2} y^{\prime \prime }+\left (-2 x^{2}+3 x \right ) y^{\prime }-\left (x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.547 |
|
| 7350 |
\begin{align*}
x_{1}^{\prime }&=-2 x_{1}+17 x_{2}+4 x_{3} \\
x_{2}^{\prime }&=-x_{1}+6 x_{2}+x_{3} \\
x_{3}^{\prime }&=x_{2}+2 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.548 |
|
| 7351 |
\begin{align*}
\left (2 x^{2}-8 x +11\right ) y^{\prime \prime }-16 \left (x -2\right ) y^{\prime }+36 y&=0 \\
\end{align*}
Series expansion around \(x=2\). |
✓ |
✓ |
✓ |
✓ |
0.548 |
|
| 7352 |
\begin{align*}
y^{\prime \prime }-5 y^{\prime }-6 y&={\mathrm e}^{3 x} \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.548 |
|
| 7353 |
\begin{align*}
5 y+4 y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.548 |
|
| 7354 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.548 |
|
| 7355 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+3 y&={\mathrm e}^{-4 t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.548 |
|
| 7356 |
\begin{align*}
x^{\prime }&=-3 x+6 y \\
y^{\prime }&=4 x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.548 |
|
| 7357 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+4 y&=0 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.548 |
|
| 7358 |
\begin{align*}
x^{\prime \prime }-4 x&=4 t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.548 |
|
| 7359 |
\begin{align*}
y^{\prime \prime }+x y^{\prime }+\left (x^{2}+2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.548 |
|
| 7360 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&={\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.548 |
|
| 7361 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-3 y&=6 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 11 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.549 |
|
| 7362 |
\begin{align*}
y^{\prime \prime }+y&=\tan \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.549 |
|
| 7363 |
\begin{align*}
x_{1}^{\prime }&=4 x_{1}-2 x_{2}+\frac {1}{t^{3}} \\
x_{2}^{\prime }&=8 x_{1}-4 x_{2}-\frac {1}{t^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.549 |
|
| 7364 |
\begin{align*}
\left (-2 x^{2}+1\right ) y^{\prime \prime }+\left (2-6 x \right ) y^{\prime }-2 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.549 |
|
| 7365 |
\begin{align*}
x \left (-x^{2}+1\right ) y^{\prime \prime }+\left (-3 x^{2}+1\right ) y^{\prime }-y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.549 |
|
| 7366 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+12 y&=80 \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.549 |
|
| 7367 |
\begin{align*}
y^{\prime \prime }+9 y&=30 \sin \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.549 |
|
| 7368 |
\begin{align*}
{y^{\prime }}^{2}+\left (x -2\right ) y^{\prime }-y+1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.549 |
|
| 7369 |
\begin{align*}
y&=x y^{\prime }+{y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.549 |
|
| 7370 |
\begin{align*}
y^{\prime \prime }+y x&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.549 |
|
| 7371 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.549 |
|
| 7372 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&=4 x^{2}-3 \,{\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.549 |
|
| 7373 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.549 |
|
| 7374 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.549 |
|
| 7375 |
\begin{align*}
y^{\prime }+y^{\prime \prime \prime }&=2+x +{\mathrm e}^{x} x^{2}+x \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.549 |
|
| 7376 |
\begin{align*}
y^{\prime \prime }-10 y^{\prime }+25 y&={\mathrm e}^{5 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.549 |
|
| 7377 |
\begin{align*}
y^{\prime \prime }-4 x y^{\prime }+\left (4 x^{2}-3\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.549 |
|
| 7378 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+y&=0 \\
y \left (2\right ) &= 1 \\
y^{\prime }\left (2\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.550 |
|
| 7379 |
\begin{align*}
y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.550 |
|
| 7380 |
\begin{align*}
y^{\prime }+y^{\prime \prime \prime }&=\tan \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.550 |
|
| 7381 |
\begin{align*}
x y^{\prime \prime }+a y^{\prime }+b \,x^{\operatorname {a1}} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.550 |
|
| 7382 |
\begin{align*}
x^{2} y^{\prime \prime }+2 x y^{\prime }+\left (a x -b^{2}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.550 |
|
| 7383 |
\begin{align*}
y^{\prime \prime \prime \prime }+2 a^{2} y^{\prime \prime }+a^{4} y-\cosh \left (a x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.550 |
|
| 7384 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+5 y&=3 \sin \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.550 |
|
| 7385 |
\begin{align*}
\sin \left (y^{\prime }\right )&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.550 |
|
| 7386 |
\begin{align*}
x^{\prime \prime }-x&=3 \,{\mathrm e}^{2 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.550 |
|
| 7387 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.550 |
|
| 7388 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-12 y&={\mathrm e}^{x} x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.550 |
|
| 7389 |
\begin{align*}
y^{\prime }&=x^{2} \\
y \left (2\right ) &= 1 \\
\end{align*}
Series expansion around \(x=2\). |
✓ |
✓ |
✓ |
✓ |
0.550 |
|
| 7390 |
\begin{align*}
y^{\prime \prime \prime \prime }-y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= 0 \\
y^{\prime \prime \prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
0.550 |
|
| 7391 |
\begin{align*}
3 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime }&=x +1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.550 |
|
| 7392 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&={\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.550 |
|
| 7393 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+x^{2} y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.550 |
|
| 7394 |
\begin{align*}
x^{\prime }&=3 x-2 y \\
y^{\prime }&=4 x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.550 |
|
| 7395 |
\begin{align*}
4 y+y^{\prime \prime }&=16 x \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.550 |
|
| 7396 |
\begin{align*}
y^{\prime \prime }+y&=\cos \left (\omega t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.550 |
|
| 7397 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+8 y&=8 \,{\mathrm e}^{4 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.551 |
|
| 7398 |
\begin{align*}
x^{\prime }&=-2 x \\
y^{\prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.551 |
|
| 7399 |
\begin{align*}
x_{1}^{\prime }&=5 x_{1}-4 x_{2}+4 x_{3} \\
x_{2}^{\prime }&=12 x_{1}-11 x_{2}+12 x_{3} \\
x_{3}^{\prime }&=4 x_{1}-4 x_{2}+5 x_{3} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 1 \\
x_{2} \left (0\right ) &= -3 \\
x_{3} \left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.551 |
|
| 7400 |
\begin{align*}
x^{\prime \prime }+3 x^{\prime }+3 x&=8 \cos \left (10 t \right )+6 \sin \left (10 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.552 |
|