The transfer function of a causal LTI system is

(a) Find the ordinary differential equation that relates the system input x(t)to the system output y(t).

(b) Find the input x(t)so that for initial conditions y(0) = 0 and dy(0)/dt = 1, the corresponding output y(t)is identically zero.

(c) Suppose we would like the output y(t)to be identically zero, if we let x(t) = δ(t)what would be the initial conditions be equal to?

H(s) : s +4