Observe how the oscillations change with
time when damping coefficient is changed

damping = 0.33 (slider from 0 to 1.5, step 0.01)
frequency = 4 (slider from 0 to 8, step 0.2)
A = 1 (slider from -5 to 5, step 1)
amplitude(t) = ((If[0 < t < 20, ((A * ℯ^(((-damping) * t))) * cos((frequency * t)))] * A) * A)
decay(t) = exp(((-damping) * t))
expbeta(t) = (-exp(((-damping) * t)))