Find the state vector via the formal-solution approach. (dot{mathbf{x}}=left[begin{array}{cc}0 & 1 0 & -frac{3}{2}end{array} ight] mathbf{x}+left[begin{array}{l}0

Find the state vector via the formal-solution approach.

\(\dot{\mathbf{x}}=\left[\begin{array}{cc}0 & 1 \\ 0 & -\frac{3}{2}\end{array}\right] \mathbf{x}+\left[\begin{array}{l}0 \\ 1\end{array}\right] u, \quad u=\) unit-ramp, \(\mathbf{x}(0)=\left\{\begin{array}{l}1 \\ 1\end{array}\right\}\)