For each of the following differential equations modeling an LTIC system, determine (a) the zero- input response, (b) the zero-state response, (c) the overall response and (d) the steady state response of the system for the specified input x(t) and initial conditions: (i) y(t)+4y(t)+8y(t)=x (t)+ x(t) with x(t)=e4u(t), y(0)=0 and y(0)=0 (ii) y(t)+6y(t) +4 y(t)=x (t)+ x(t) with x(t) = cos(6t)u(t), y(0) = 2, and y(0)=0