How do Euler's formula and coupled differential equations give oscillating solutions?

  • Thread starter Thread starter ee1215
  • Start date Start date
Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
Sign up Log in
1 reply · 2K views
ee1215
Messages
27
Reaction score
0

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)
 

Discussion

Physics news on Phys.org
They solved the coupled differential equations.