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How to solve this differential equation? (harmonic oscillator)

• To: mathgroup at smc.vnet.net
• Subject: [mg113041] How to solve this differential equation? (harmonic oscillator)
• From: MathProg <denis1503 at gmail.com>
• Date: Tue, 12 Oct 2010 04:24:13 -0400 (EDT)

I have the differential equation: 
x'' + w^2*x(t) = 0.

I don't know how to solve it in Mathematica. I know that the answer is: 
A * cos( w*t + phi )

.but how I can get it in Mathematica? Can anyone help me with that?