please Consider the system [ vec{x}^{prime}=left(begin{array}{cc} -5 / 4 & 3 / 4 3 / 4 & -5 / 4 end{array} ight) vec{x}+left(begin{array}{l} 4

please Consider the system \[ \vec{x}^{\prime}=\left(\begin{array}{cc} -5 / 4 & 3 / 4 \\ 3 / 4 & -5 / 4 \end{array}\right) \vec{x}+\left(\begin{array}{l} 4 t \\ e^{t} \end{array}\right) \] (1) Find the solut 1 answer