Given the differential equation:
(D2 + 2D)y(t) = (D+1 )x(t) with y(0+) = 2
and dy(0+)/dt = 1, and x(t) = u(t),
Give the zero-input or natural response yn(t), in terms of constants K, and K2. Give the general form of the forced response y phi (t), in terms of a constant beta. Find beta and give the exact forced response y phi (t). Give the total response if y(0+) = 2 and dy(0+)/dt = 1.