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A simple vibration problem
u^{\prime\prime}(t) + \omega^2u = 0,\quad u(0)=I,\ u^{\prime}(0)=0,\ t\in (0,T]
Exact solution:
u(t) = I\cos (\omega t)
u(t) oscillates with constant amplitude I and
(angular) frequency \omega .
Period: P=2\pi/\omega .
