## Find the general solution of the simple harmonic oscillator November 27 1

Question: Find the general solution of the simple harmonic oscillator equation, $$\ddot{x}=-\omega^2x$$My answer: $x(t)=A\cos(\omega t)+B\sin(\omega t)$Solution given: $x(t)=x_0\cos(\omega t)+\frac{\dot{x_0}}{\omega}\sin(\omega t)$I can understand in