Consider the dynamic system whose input-output differential equation is given by

\[\begin{aligned}\dot{y}+2 y & =u(t) \\\text { where } y(0) & =0, \dot{y}(0)=0 \text { and } u(t)=2 .\end{aligned}\]

(a) Find the system Transfer Function model \(H(s)\).

(b) Find the system response \(y(t)\).