The unit-step response of a system is s(t) = [0.5e t + 0.5e 2t ] u(t). (a)

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The unit-step response of a system is s(t) = [0.5−e−t + 0.5e−2t] u(t).

(a) Find the transfer function H(s)of the system.

(b) How could you use s(t)to find the impulse response h(t)and the ramp response ρ(t)in the time and in the Laplace domains?

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