(a) Discuss the relationship between the poles of the following system transfer function [H(s)=frac{2 s+1}{s^{2}+2 s+5}] and...

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(a) Discuss the relationship between the poles of the following system transfer function

\[H(s)=\frac{2 s+1}{s^{2}+2 s+5}\]

and the corresponding impulse response.

(b) Find the exact response.

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