For the over damped oscillations, the displacement x(t) is expressed by the followingx(t) = e-ßt[A ewt + Be-wt]. The displacement can be expressed in tems of hyperbolic functions as the following: Hint: Use the following relations ey = cosh y + sinhy e-y = coshy – sinhy

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For the over damped oscillations, the displacement x(t) is expressed by
the followingx(t) = e-ßt [A eut + Be-w*]. The displacement can be
expressed in terms of hyperbolic functions as the following:
Hint: Use the following relations
ey = cosh y + sinh y
e-y = coshy - sinhy
Transcribed Image Text:For the over damped oscillations, the displacement x(t) is expressed by the followingx(t) = e-ßt [A eut + Be-w*]. The displacement can be expressed in terms of hyperbolic functions as the following: Hint: Use the following relations ey = cosh y + sinh y e-y = coshy - sinhy
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