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Obtain the solution for Eq. (12.62) for the forced harmonic oscillator using Laplace transforms.

where Fo and a are constants. Find the general solution to
the equation of motion.
The equation of motion is
Fo sin (at)
k
+-z =
dt2
(12.62)
m
m
The solution to the complementary equation is the same as
for the unforced harmonic oscillator:
Zc = bị cos(wt)+b2 sin(@t).

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