Chapter 2 - Matrices and Systems of Linear Equations - 2.3 Terminology for Systems of Linear Equations - Problems - Page 145: 17

$\begin{bmatrix} x_1'\\ x_2' \end{bmatrix}=\begin{bmatrix} -4 & 3\\ 6& -4 \end{bmatrix}.\begin{bmatrix} x_1 \\ x_2 \end{bmatrix}+\begin{bmatrix} 4t\\ t^2 \end{bmatrix}$

The vector formulation for the given system of differential equations is: $\begin{bmatrix} x_1'\\ x_2' \end{bmatrix}=\begin{bmatrix} -4 & 3\\ 6& -4 \end{bmatrix}.\begin{bmatrix} x_1 \\ x_2 \end{bmatrix}+\begin{bmatrix} 4t\\ t^2 \end{bmatrix}$