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Euler's Explained

  1. Sep 18, 2013 #1
    1. The problem statement, all variables and given/known data
    Could someone explain how they came to this conclusion?
    http://hepweb.ucsd.edu/ph110b/110b_notes/node34.html

    2. Relevant equations

    I know how to get:
    ω1 dot + Ωω2 = 0
    ω2 dot - Ωω1 = 0

    3. The attempt at a solution

    I know euler is e^(i * t) = cos(t) + sin(t)*i but not sure how the notes take it to :
    ω1(t) = Acos(Ωt) , ω2(t) = Asin(Ωt)
     
  2. jcsd
  3. Sep 18, 2013 #2

    vela

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    They solved the coupled differential equations.
     
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