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Mathematics 18 Online
OpenStudy (anonymous):

Recall that the general solution of the critically damped unforced harmonic oscillator(mass-spring system) is y(t)=e^(-rt)(k1t+k2) where r, k1 and k2 are constant. show that the mass can pass through the equilbrium position of y=0 at most once, repeat it again for overdamped unforced harmonic oscillator.

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