The function f(t) satisfies the differential equation (d²f

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The function f(t) satisfies the differential equation (d²f / dt²) + f = 0 and the auxilliary conditions, f(0) = 0, (df / dt) (o) = 4. The Laplace transform of f(t) is given by

1. 2
  s + 1
2. 4
  s + 1
3. 4
  s² + 1
4. 2
  s² + 1

Correct Option: C

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L^-1		4		= 4 sint satisfies	d²f	+ f = 0
		s² + 1			dt²