A linear time invariant system has an impulse response e2t,

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A linear time invariant system has an impulse response e^2t, t > 0. If the initial conditions are zero and the input is e^3t ,the output for t > 0 is

1. e^3t – e^2t
2. e^5t
3. e^3t + e^2t
4. None of these

Correct Option: A

H(s) =	1	, R(s) =	1
	(s - 2)		(s - 3)

Output =	1	.	1	=	1	-	1
	(s - 2)		(s - 3)		(s - 3)		(s - 2)

C(t) = e^3t – e^2t