Question: Given a linear system with output y(t) and impulse response h(t), find the corresponding input x(t) for the following cases: (a) y(t) = teat u(t),

Given a linear system with output y(t) and impulse response h(t), find the corresponding input x(t) for the following cases:
(a) y(t) = te−at u(t), h(t) = e−at u(t)
(b) y(t) = u(t + 1) - u(t - 1), h(t) = δ (t)
(c) y(t) = e−at u(t), h(t) = sgn(t)

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