Given a second order ode m y’’ + c y’ + k y = 0 with m, c...

Given a second order ode m y’’ + c y’ + k y = 0 with m, c and k all positive. (like a mass‐spring system with damping) Argue that the solution will always be damped; the exponential portion can never be positive regardless of the particular m, c and k.

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Colby Messinger answered 7 months ago

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