The transfer function Y(s) / U(s) of a system described

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The transfer function Y(s) / U(s) of a system described by the state equations
ẋ (t) = – 2x (t) + 2 u(t)
and y (t) = 0.5 x(t), is

1. 0.5
  (s - 2)
2. 1
  (s - 2)
3. 0.5
  (s + 2)
4. 1
  (s + 2)

Correct Option: D

s X (s) = – 2 X (s) + 2 U(s)
X (s) [s + 2] = 2 U(s)
and Y(s) = 0.5 X (s)

which gives ,	Y(s)	=	1
	U(s)		s + 2