The undamped free vibration of system can be described by the following ODE: a?u(t) + 02и(t) — 0, и(0) — 1, й (0) — 0, tE (0,T] at? in which, w is the angular frequeney of vibration and I is the amplitude of vibration, both are constants. a) Use an appropriate second order accurate approximation to the 2nd order derivative in the above ODE to formulate the approximation solution to the ODE.

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