The impulse response of an initially relaxed linear system

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The impulse response of an initially relaxed linear system is e ^{– 2t} u(t). To produce a response of te ^{– 2t}u(t), the input must be equal to

1. 2 e ^{– t} u(t)
2. 1 e ^{– 2t} u(t)
  2
3. e ^{– 2t} u(t)
4. e ^{– t} u(t)

Correct Option: C

H(s) =	1
	s + 2

Y(s) =	1	, X(s) =	Y(s)	=	1
	(s + 2)²		H(s)		s + 2

and u(t) = e ^{– 2t} u(t)