Solve for y(t) for the following system represented in
Chapter 4, Problem 42(choose chapter or problem)
Solve the following state equation and output equation for y(t), where u(t) is the unit step. Use the Laplace transform method. [Section: 4.10]
\(\begin{aligned} & \dot{\mathbf{x}}=\left[\begin{array}{rr} -3 & 0 \\ -1 & -1 \end{array}\right] \mathbf{x}+\left[\begin{array}{l} 2 \\ 1 \end{array}\right] u(t) \\ & y=\left[\begin{array}{ll} 1 & 0 \end{array}\right] \mathbf{x} ; \mathbf{x}(0)=\left[\begin{array}{l} 2 \\ 0 \end{array}\right] \end{aligned}\)
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