For each of the following differential equations modeling an LTIC system, determine and plot (a) the zero-input response, (b) the zero-state response, (c) the overall response for the specified input x(t) and initial conditions. USE MATLAB. (a) y(t)+4y(t) +8y(t) = x(t)+x(t) with x(t) = eu(t), y(0) = 0, and y(0) = 0. (b) y(t)+6y(t)+4y(t) = x(t) + x(t) with x(t) = cos(6t )u(t), y(0) = 2, and y(0) = 0. (c) y(t)+2y(t)+y(t) = x(t) with x(t) = [cos(t) + sin(2t)]u(t), y(0) = 3, and y(0) = 1. (d) y(t)+4y(t)=5x(t) with x(t) = 4te u(t), y(0) = -2, and y(0) = 0. (e) y(t) + 2y (t)+y(t) = x(t) with x(t) = 2u(t), y(0)=y" (0)= "y"(0) = 0, and y' (0) = 1.