(adsbygoogle = window.adsbygoogle || []).push({}); Critical Damping: T/4???

I read a few Textbooks on SHM. It happens to be the ones that show no mathematical derivations, that claim that Critical Damping has the period (i.e. time from 0 to equilibrium) of T/4

So I went back to my derivations of SHM considering second order differential equations. The solutions I got were similar to that stated in Wikipedia:

http://en.wikipedia.org/wiki/Harmonic_oscillator#Simple_harmonic_oscillator

I have tried numerous approaches to ecen try and show how in a Damped Oscillator the period is T/4 compared to Overdamping or Under Damping. Can anyone explain or guide me to a way of showing this result

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# Critical Damping: T/4?

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