Use the method of variation of parameters to solve the initial value problem $x^{\text{'}}=Ax+f(t),x(a)=x_a$ using the following values.

$A=\left[\begin{array}{cc}2& -5\\ 1& -2\end{array}\right],f(t)=\left[\begin{array}{c}2t\\ 7\end{array}\right],x(0)=\left[\begin{array}{c}0\\ 0\end{array}\right],e^{At}=\left[\begin{array}{cc}cost+2sint& -5sint\\ sint& cost-2sint\end{array}\right]$

$x(t)=$