Exploring Quantum Physics - Week 4 Bonus Question 1

Question:

Given $x(t) = \cos {\left(\omega t\right)} x\left(0\right) + \frac{\sin {\left(\omega t\right)}}{\omega} \dot x\left(0\right)$, which of the choices are correct?

Solution:

$\omega T = 2\pi$, the function is periodic. The period does not depend on $x(0)$ or $x'(0)$.