Let H(s) represent the system function for a causal, stable system. The input to the

Chapter 9, Problem 9.46

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Let H(s) represent the system function for a causal, stable system. The input to the system consists of the sum of three terms, one of which is an impulse 8(t) and another a complex exponential of the form esot, where s0 is a complex constant. The output is y(t) = -6e-t u(t) + 3 : e4 t cos 3t + ~! e 4 t sin 3t + 8(t). Determine H(s), consistently with this information.

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