Use the method of Laplace transforms to solve the system

$x^{\text{'}}=\left[\begin{array}{cc}-2& 1\\ 1& -2\end{array}\right]x+\left[\begin{array}{c}2e^{-t}\\ 3t\end{array}\right]$;$,x_0=\left[\begin{array}{c}0\\ 0\end{array}\right]$