In this laboratory we take a deeper look at second-order nonhomogeneous equations. We will concentrate
on equations with a periodic harmonic forcing term. This will lead to a study of the phenomenon known
as resonance. The equation we consider has the form
d2y
dt2 + c
dy
dt
+ !2
0y = cos !t: (L6.1)
This equation models the movement of a mass-spring system similar to the one described in Laboratory
5. The forcing term on the right-hand side of (L6.1) models a vibration, with amplitude 1 and frequency
! (in radians per second = 1
2 rotation per second = 60
2 rotations per minute, or RPM) of the plate
holding the mass-spring system. All physical constants are assumed to be po

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