The input and the output of a stable and causal LTI system S are related by the difference d²y(t) dt? +6y(t) = dt dx(t) +4x(t) dt equation: 1) Determine the impulse response h(t) of the system S. 2) What is the output of S when the input is : x(t) = e"u(t) – te"u(t)? -3t 3) What is the output of S when the input is : x(t)= e"u(t) +e"u(t)?

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The input and the output of a stable and causal LTI system S are related by the difference
d²y(t)
dt?
+6y(t) =
dt
dx(t)
+4x(t)
dt
equation:
1) Determine the impulse response h(t) of the system S.
2) What is the output of S when the input is : x(t) = e"u(t) – te"u(t)?
-3t
3) What is the output of S when the input is : x(t)= e"u(t) +e"u(t)?
Transcribed Image Text:The input and the output of a stable and causal LTI system S are related by the difference d²y(t) dt? +6y(t) = dt dx(t) +4x(t) dt equation: 1) Determine the impulse response h(t) of the system S. 2) What is the output of S when the input is : x(t) = e"u(t) – te"u(t)? -3t 3) What is the output of S when the input is : x(t)= e"u(t) +e"u(t)?
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