1 : An LTI system with input signal x(t) = [e^t + e^{-2t}] u(t) gives the response y(t) = [2 - 3t] e^{-2t}u(t) (a) Find the transfer function of this system, i.e., H(s). (b) Determine the impulse response of the system, i.e., h(t).
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