(Solved): Use the variation of parameters formula to find a general solution of the system \( x^{\prime}(t)=A ...

Use the variation of parameters formula to find a general solution of the system \( x^{\prime}(t)=A x(t)+f(t) \), where \( A \) and \( f(t) \) are given. \[ A=\left[\begin{array}{rr} 1 & 5 \\ 9 & 5 \end{array}\right], f(t)=\left[\begin{array}{r} 5 \\ -5 \end{array}\right] \] \[ x(t)=\left[\begin{array}{c} \frac{45}{56} e^{8 t} \\ -\frac{45}{56} e^{-6 t} \end{array}\right] \]