Euler's Explained

  • Thread starter ee1215
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Homework Statement


Could someone explain how they came to this conclusion?
http://hepweb.ucsd.edu/ph110b/110b_notes/node34.html

Homework Equations



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

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)
 

Answers and Replies

  • #2
vela
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They solved the coupled differential equations.
 

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