The impulse response of a certain system is given by (h(t)=e^{-5 t}). The system is excited by

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The impulse response of a certain system is given by \(h(t)=e^{-5 t}\). The system is excited by \(x(t)=e^{-3 t} u(t)+e^{-2 t} u(-t)\). Determine

(a) The system transfer function

(b) Output of the system \(y(t)\)

(c) BIBO stability of the system.

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