Question

Write the given system without the use of matrices. d/dt (x y z) =( 1 −1 6 3 −8 1 −2 7 5) (x y z) + (1 2 2)

Answer 1

$\dfrac{\mathrm d}{\mathrm dt}\begin{bmatrix}x\\y\\z\end{bmatrix}=\begin{bmatrix}1&-1&6\\3&-8&1\\-2&7&5\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}+\begin{bmatrix}1\\2\\2\end{bmatrix}$

$\begin{cases}\dfrac{\mathrm dx}{\mathrm dt}=x-y+6z+1\\\\\dfrac{\mathrm dy}{\mathrm dt}=3x-8y+z+2\\\\\dfrac{\mathrm dz}{\mathrm dt}=-2x+7y+5z+2\end{cases}$