| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 8301 |
\begin{align*}
y^{\prime \prime }-5 y^{\prime }+6 y&=-78 \cos \left (3 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.415 |
|
| 8302 |
\begin{align*}
y^{\prime \prime }-10 y^{\prime }+25 y&={\mathrm e}^{5 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.415 |
|
| 8303 |
\begin{align*}
y^{\prime }&=x \,{\mathrm e}^{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.415 |
|
| 8304 |
\begin{align*}
y^{\prime \prime \prime }-2 y^{\prime \prime }+4 y^{\prime }-8 y&=64 \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.415 |
|
| 8305 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right )^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.415 |
|
| 8306 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.416 |
|
| 8307 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }+2 y^{\prime } x -2 y&=6 \left (-x^{2}+1\right )^{2} \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.416 |
|
| 8308 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+\left (4 x -1\right ) y^{\prime }+2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.416 |
|
| 8309 |
\begin{align*}
n \left (n +2\right ) y-3 y^{\prime } x +\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.416 |
|
| 8310 |
\begin{align*}
\left (x -y\right ) y^{\prime \prime }&=\left (1+y^{\prime }\right ) \left (1+{y^{\prime }}^{2}\right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.416 |
|
| 8311 |
\begin{align*}
y^{\prime \prime }-x^{3} y-x^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.416 |
|
| 8312 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 7 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.416 |
|
| 8313 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.416 |
|
| 8314 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+9 y&=10 \,{\mathrm e}^{-3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.416 |
|
| 8315 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.416 |
|
| 8316 |
\begin{align*}
x -x {y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.416 |
|
| 8317 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.416 |
|
| 8318 | \begin{align*}
x^{\prime }&=-4 x+y \\
y^{\prime }&=-x-2 y \\
\end{align*} | ✓ | ✓ | ✓ | ✓ | 0.416 |
|
| 8319 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }-4 y&=12 \,{\mathrm e}^{2 x} \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.416 |
|
| 8320 |
\begin{align*}
y^{\prime }+y-v^{\prime }-v&=0 \\
y^{\prime }+v^{\prime }-v&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.416 |
|
| 8321 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}-2 x_{2} \\
x_{2}^{\prime }&=2 x_{1}-2 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.417 |
|
| 8322 |
\begin{align*}
y^{\prime \prime }-y&=\frac {1}{x}-\frac {2}{x^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.417 |
|
| 8323 |
\begin{align*}
y^{\prime \prime }-y&=\frac {1}{\sqrt {1-{\mathrm e}^{2 x}}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.417 |
|
| 8324 |
\begin{align*}
{y^{\prime }}^{2}+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.417 |
|
| 8325 |
\begin{align*}
\left (3 y-1\right )^{2} {y^{\prime }}^{2}&=4 y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.417 |
|
| 8326 |
\begin{align*}
1+{x^{\prime }}^{2}&=\frac {a}{y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.417 |
|
| 8327 |
\begin{align*}
\left (2+x \right ) y^{\prime \prime }+y^{\prime } x -y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.417 |
|
| 8328 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }-6 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.417 |
|
| 8329 |
\begin{align*}
x^{\prime }&=-4 x+2 y \\
y^{\prime }&=-\frac {5 x}{2}+2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.417 |
|
| 8330 |
\begin{align*}
y^{\prime \prime }&=-\frac {x y^{\prime }}{f \left (x \right )}+\frac {y}{f \left (x \right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.417 |
|
| 8331 |
\begin{align*}
x^{2} {y^{\prime }}^{2}-2 \left (y x -2\right ) y^{\prime }+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.417 |
|
| 8332 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+3 y&=65 \cos \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.417 |
|
| 8333 |
\begin{align*}
y^{\prime \prime \prime }+4 y^{\prime }&=\sec \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.417 |
|
| 8334 |
\begin{align*}
{\mathrm e}^{y^{\prime }}&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.417 |
|
| 8335 |
\begin{align*}
{y^{\prime }}^{3}-4 x y^{\prime } y+8 y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
0.417 |
|
| 8336 |
\begin{align*}
x^{2} y^{\prime \prime \prime \prime }+a^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.417 |
|
| 8337 | \begin{align*}
y^{\prime \prime }+4 y^{\prime } x +4 x^{2} y&=0 \\
\end{align*} | ✓ | ✓ | ✓ | ✗ | 0.417 |
|
| 8338 |
\begin{align*}
x^{\prime }&=x-y \\
y^{\prime }&=x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.417 |
|
| 8339 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+13 y&=x \,{\mathrm e}^{3 x} \sin \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.418 |
|
| 8340 |
\begin{align*}
4 y^{\prime \prime }-4 y^{\prime }+y&=16 \,{\mathrm e}^{\frac {t}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.418 |
|
| 8341 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}-5 x_{2} \\
x_{2}^{\prime }&=x_{1}-2 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.418 |
|
| 8342 |
\begin{align*}
\left (x^{3}+1\right ) y^{\prime \prime }+7 x^{2} y^{\prime }+9 y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.418 |
|
| 8343 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&=F \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.418 |
|
| 8344 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+5 y&=4 \,{\mathrm e}^{x} \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.418 |
|
| 8345 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+8 y&=30 \,{\mathrm e}^{-\frac {x}{2}} \cos \left (\frac {5 x}{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.418 |
|
| 8346 |
\begin{align*}
z^{\prime \prime }+x z^{\prime }+z&=x^{2}+2 x +1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.418 |
|
| 8347 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 y^{\prime } x +30 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= {\frac {15}{8}} \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.418 |
|
| 8348 |
\begin{align*}
x^{\prime }&=3 x-4 y \\
y^{\prime }&=4 x-7 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.418 |
|
| 8349 |
\begin{align*}
y^{\prime \prime } x +3 y^{\prime }+y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.418 |
|
| 8350 |
\begin{align*}
9 x^{2} y^{\prime \prime }+3 x \left (-2 x^{2}+3 x +5\right ) y^{\prime }+\left (-14 x^{2}+12 x +1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.418 |
|
| 8351 |
\begin{align*}
x^{\prime \prime }+7 x&=t \,{\mathrm e}^{3 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.418 |
|
| 8352 |
\begin{align*}
x^{\prime }&=-2 x+y \\
y^{\prime }&=-2 y+z \\
z^{\prime }&=-2 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.418 |
|
| 8353 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }-8 y&=8 x^{2}-3 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.418 |
|
| 8354 |
\begin{align*}
y^{\prime \prime }-y&=2 x +{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.418 |
|
| 8355 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-3 y&=2 \,{\mathrm e}^{-t} \\
y \left (0\right ) &= {\frac {3}{2}} \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.418 |
|
| 8356 | \begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y x&=0 \\
\end{align*} Series expansion around \(x=1\). | ✓ | ✓ | ✓ | ✓ | 0.418 |
|
| 8357 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=4 \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.418 |
|
| 8358 |
\begin{align*}
2 y^{\prime \prime }+4 y&={\mathrm e}^{i t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.418 |
|
| 8359 |
\begin{align*}
r^{\prime \prime }+r^{\prime }+r&=1 \\
r \left (0\right ) &= 0 \\
r^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.418 |
|
| 8360 |
\begin{align*}
y^{\prime }&={\mathrm e}^{-\frac {x y^{2}}{100}} \\
y \left (8\right ) &= -4 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.418 |
|
| 8361 |
\begin{align*}
y y^{\prime \prime }&=3 {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.419 |
|
| 8362 |
\begin{align*}
y+y^{\prime }&=\frac {1}{t^{2}+1} \\
y \left (2\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.419 |
|
| 8363 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}+x_{2} \\
x_{2}^{\prime }&=-x_{1}+5 x_{2} \\
x_{3}^{\prime }&=4 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.419 |
|
| 8364 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-3 y&=6 x +4 \\
y \left (1\right ) &= 4 \\
y^{\prime }\left (1\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.419 |
|
| 8365 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (x \right ) \\
y^{\prime }\left (1\right ) &= 0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.419 |
|
| 8366 |
\begin{align*}
y^{\prime \prime }+20 y^{\prime }+500 y&=100000 \cos \left (100 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.419 |
|
| 8367 |
\begin{align*}
y^{\prime \prime }-y^{\prime } x +\left (3 x -2\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.419 |
|
| 8368 |
\begin{align*}
\left (x^{3}-1\right ) y^{\prime \prime }+x^{2} y^{\prime }+y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.419 |
|
| 8369 |
\begin{align*}
x^{\prime \prime }+2 x^{\prime }+x&={\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.419 |
|
| 8370 |
\begin{align*}
y^{\prime }&=1+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.419 |
|
| 8371 |
\begin{align*}
x^{\prime }&=2 x+2 y \\
y^{\prime }&=-4 x+6 y \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.419 |
|
| 8372 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-3 y&=3 \,{\mathrm e}^{2 t} t \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.419 |
|
| 8373 |
\begin{align*}
y^{\prime \prime }+y&=\cot \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.419 |
|
| 8374 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (a x \right ) \\
y \left (0\right ) &= y_{0} \\
y^{\prime }\left (0\right ) &= y_{1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.419 |
|
| 8375 |
\begin{align*}
y^{\prime \prime }-y&=\sin \left (2 x \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.419 |
|
| 8376 | \begin{align*}
y^{\prime \prime }-y&=\frac {2 \,{\mathrm e}^{x}}{\left ({\mathrm e}^{x}+1\right )^{2}} \\
\end{align*} | ✓ | ✓ | ✓ | ✓ | 0.419 |
|
| 8377 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.419 |
|
| 8378 |
\begin{align*}
y^{\prime }+2 y&=\left \{\begin {array}{cc} 0 & 0\le t <1 \\ -3 & 1\le t \end {array}\right . \\
y \left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
0.419 |
|
| 8379 |
\begin{align*}
y^{\prime \prime }+{\mathrm e}^{-x} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.420 |
|
| 8380 |
\begin{align*}
x^{\prime }&=-3 x+2 y \\
y^{\prime }&=-3 x+4 y \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.420 |
|
| 8381 |
\begin{align*}
x^{\prime \prime }+10 x^{\prime }+125 x&=0 \\
x \left (0\right ) &= 6 \\
x^{\prime }\left (0\right ) &= 50 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.420 |
|
| 8382 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.420 |
|
| 8383 |
\begin{align*}
y^{\prime \prime }-y&=\sin \left (x \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.420 |
|
| 8384 |
\begin{align*}
16 x^{2} y^{\prime \prime }+32 y^{\prime } x +\left (x^{4}-12\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.420 |
|
| 8385 |
\begin{align*}
y^{\prime \prime } x +a \left (-y+y^{\prime } x \right )^{2}-b&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.420 |
|
| 8386 |
\begin{align*}
4 x^{2} {y^{\prime }}^{2}-y^{2}&=x y^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.420 |
|
| 8387 |
\begin{align*}
y&=y^{\prime } x +\frac {m}{y^{\prime }} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.420 |
|
| 8388 |
\begin{align*}
x^{\prime \prime }-x^{\prime }-2 x&=2 t +{\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.420 |
|
| 8389 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-6 y&=0 \\
y \left (0\right ) &= 4 \\
y^{\prime }\left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.420 |
|
| 8390 |
\begin{align*}
4 y+y^{\prime \prime }&=8 \cos \left (2 x \right )-4 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.420 |
|
| 8391 |
\begin{align*}
x^{\prime \prime }+6 x^{\prime }+8 x&=f \left (t \right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 8392 |
\begin{align*}
y^{\prime }&=\left (x -2\right )^{2} \\
y \left (2\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 8393 |
\begin{align*}
4 x^{\prime \prime }+20 x^{\prime }+169 x&=0 \\
x \left (0\right ) &= 4 \\
x^{\prime }\left (0\right ) &= 16 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 8394 |
\begin{align*}
u^{\prime \prime }+\frac {u^{\prime }}{4}+2 u&=0 \\
u \left (0\right ) &= 0 \\
u^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 8395 | \begin{align*}
\left (-2 x^{3}+1\right ) y^{\prime \prime }-10 x^{2} y^{\prime }-8 y x&=0 \\
\end{align*} Series expansion around \(x=0\). | ✓ | ✓ | ✓ | ✓ | 0.421 |
|
| 8396 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+\left (x^{2}+2\right ) y^{\prime }+y x&=0 \\
y \left (0\right ) &= -3 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 8397 |
\begin{align*}
x_{1}^{\prime }&=4 x_{1}-x_{2} \\
x_{2}^{\prime }&=-2 x_{1}+5 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 8398 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}-x_{2} \\
x_{2}^{\prime }&=5 x_{1}-3 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 8399 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&=4 \cos \left (x \right )-2 \sin \left (x \right ) \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 8400 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=\sin \left (2 x \right ) x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.421 |
|