Q4:B. Consider a continuous-time LTI system for which the input x(t) and output y(t) are related by y"() + y (0) - 2y(t) = x(t) (a) Find the system function H(s). (b) Determine the impulse response h(t) for each of the following three cases: (1) The system is causal, (ii) The system is stable, (i) The system is neither causal nor stable.

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Q4:B. Consider a continuous-time LTI system for which the input x(t) and output y(t)
are related by
y"(t) +y'(t) - 2y(t) = x(t)
(a) Find the system function H(s).
(b) Determine the impulse response hft) for each of the following three cases:
(1) The system is causal,
(i) The system is stable,
(i) The system is neither causal nor stable.
Transcribed Image Text:Q4:B. Consider a continuous-time LTI system for which the input x(t) and output y(t) are related by y"(t) +y'(t) - 2y(t) = x(t) (a) Find the system function H(s). (b) Determine the impulse response hft) for each of the following three cases: (1) The system is causal, (i) The system is stable, (i) The system is neither causal nor stable.
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