$2-$ Consider the following system:

Where the damping constant $b=4,$ the spring coefficient $k=2,$ and the mass $M=1kg.$

a$)$ Find the state space of the system.

b$)$ Find the transfer function of the system directly from the system's differential

equations.

c$)$ Find the transfer function of the system from the state$-$space equations achieved in $($a$).$