Consider a system with h(t) = e-2tu(t) and input x(t) = e-3tu(t) (a) Find output y(t) using calculations in time domain (Convolution; Chapter 2) (b) Find output y(t) by taking inverse Laplace transform from Y (s) = X(s)H(s). Verify that your answer is the same as part (a).

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Consider a system with h(t) = e-2tu(t) and input x(t) = e-3tu(t)
(a) Find output y(t) using calculations in time domain (Convolution; Chapter 2)
(b) Find output y(t) by taking inverse Laplace transform from Y (s) = X(s)H(s). Verify
that your answer is the same as part (a).
Transcribed Image Text:Consider a system with h(t) = e-2tu(t) and input x(t) = e-3tu(t) (a) Find output y(t) using calculations in time domain (Convolution; Chapter 2) (b) Find output y(t) by taking inverse Laplace transform from Y (s) = X(s)H(s). Verify that your answer is the same as part (a).
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