Question: A causal and stable LTI system S has the frequency response H(jw)=6w2+5jwjw+4 (a) Determine a differential equation relating the input x(t) and output y(t) of

A causal and stable LTI system S has the frequency response

A causal and stable LTI system S has the frequency response H(jw)=6w2+5jwjw+4 (a) Determine a differential equation relating the input x(t) and output y(t) of S. (b) Determine the impulse response h(t) of S. (c) What is the output of S when the input is x(t)=e4tu(t)te4tu(t)

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