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Further examples of harmonic oscillation
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1coefficient(1): a
2
3integrate (y'') -> -y':
4 IC: +1
5integrate (-y') -> y
6invert (y) -> -y
7sin = y
8
9integrate (omega') -> -omega
10a * sin -> a_times_sin
11omega' = a_times_sin
12
13invert (-omega) -> omega
14multiply (omega, omega) -> omega²
15multiply (omega², -y) -> -omega²y
16y'' = -omega²y