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May 20th, 2018
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  1. DSolve[{q'[t] == 2 p[t], p'[t] == -2 [Omega] q[t], q[0] == 0,
  2. p[0] == 1}, {q[t], p[t]}, t]
  3. ParametricPlot[{Cos[2 t Sqrt[[Omega]]] -
  4. Sqrt[[Omega]] Sin[2 t Sqrt[[Omega]]], (
  5. Sqrt[[Omega]] Cos[2 t Sqrt[[Omega]]] + Sin[2 t Sqrt[[Omega]]])/
  6. Sqrt[[Omega]]} /. [Omega] -> 1, {t, 0, 5}]
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