(5 point) Find the impulse response solution in problem #4 and #6 of assignment 4 under the assumption of zero initial conditions. You should:

(i) write down the differential equation for the unit impulse solution h(t) and its initial conditions,

(ii) find the laplace transform of h(t) and label this H(s ) and invert to get h(t),

and (iii) write down the solution as a convolution integral complete with limits - do not evaluate the convolution

solution in problem #4 and #6 of assignment 4

4)

6)

Go S W(S) = +kG $+k (s + k)(s2 + w2) Y(S) = (s2 + 2)($2 + w2) Go S W(S) = +kG $+k (s + k)(s2 + w2) Y(S) = (s2 + 2)($2 + w2)