(a) You are given a linear, time-invariant (LTI) system that produces an output y(t) = e–atu(t) to an input x(t) = e–btu(t) where a > 0 and b > 0. Find the impulse response h(t) of the system.
(b) You are given a linear, time-invariant (LTI) system that produces an output y(t) = e–atcos(bt)u(t) to an input x(t) = u(t) where a > 0 and b > 0. Find the impulse response h(t) of the system
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