[tex]\dfrac{\mathrm d}{\mathrm dt}\begin{bmatrix}x\\y\\z\end{bmatrix}=\begin{bmatrix}1&-1&6\\3&-8&1\\-2&7&5\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}+\begin{bmatrix}1\\2\\2\end{bmatrix}[/tex]
[tex]\begin{cases}\dfrac{\mathrm dx}{\mathrm dt}=x-y+6z+1\\\\\dfrac{\mathrm dy}{\mathrm dt}=3x-8y+z+2\\\\\dfrac{\mathrm dz}{\mathrm dt}=-2x+7y+5z+2\end{cases}[/tex]
