Consider a continuous-time linear time-invariant (LTI) system. When the input to this system is x(t) = e−2t+³u(t − 4), the output is y(t). dx(t) dt - When the input is the output is -2y(t) + e¯tu(t) Find the impulse response h(t) of this system. {Ans: h(t) = e−(t−1)u(t + 4)}

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Consider a continuous-time linear time-invariant (LTI) system.
When the input to this system is x(t) = e−2t+³u(t − 4), the output is y(t).
dx(t)
dt
-
When the input is the output is -2y(t) + e¯tu(t)
Find the impulse response h(t) of this system. {Ans: h(t) = e−(t−1)u(t + 4)}
Transcribed Image Text:Consider a continuous-time linear time-invariant (LTI) system. When the input to this system is x(t) = e−2t+³u(t − 4), the output is y(t). dx(t) dt - When the input is the output is -2y(t) + e¯tu(t) Find the impulse response h(t) of this system. {Ans: h(t) = e−(t−1)u(t + 4)}
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