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

`(\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}(\mathrm dx)/(\mathrm dt)=x-y+6z+1\\\\(\mathrm dy)/(\mathrm dt)=3x-8y+z+2\\\\(\mathrm dz)/(\mathrm dt)=-2x+7y+5z+2\end{cases}`