$(10$ points$)$ Use Laplace Transform to solve the following circuit and find vo$($t$).$ Consider initial condition in the capacitor $vo(0^{-})=0$ volts.

a$)$ Find Vo$($s$)$

b$)$ Find $vo(t)$

c$)$ Use Matlab to plot vo$($t$).$ Be sure your plot has labels and units on the axes. Include your Matlab code.