The solution of $$\frac{d^{2}z}{dx^{2}}+z = 0$$ given that when $$x = 0, z = e^{y}$$ and $$\frac{dz}{dx} = 1$$ is

A

$$Z = \cos x+ e^{y} \sin x$$

B

$$Z = \sin x + e^{y} \cos x$$

C

$$Z = \cos x + \sin x$$

D

$$Z = e^{2y} \tan x$$