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# Given h(t)=(e-t+e-3t)u(t) find: A) The transfer function H(s). B) The locations of all poles and zeros....

Given h(t)=(e-t+e-3t)u(t) find:

A) The transfer function H(s).

B) The locations of all poles and zeros.

C) Determine if the system is stable or not

D) Find the differential equation for this system.

Given problem has been solved with proper explanation and calculations. To understand this problem, a basic knowledge of impulse response of a system, transfer function of a system, differential equation representation of a system and Laplace transformation is required. If you have any doubt, please comment.

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