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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)