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