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Differential EquationsMediumThe Wronskian & Variation of Parameters

The Wronskian & Variation of Parameters · Medium problem

Two solutions of y′′+cy′+ky=0y''+cy'+ky=0 (constants c,k>0c,k>0) have Wronskian W(t)=W(0)e−ctW(t)=W(0)e^{-ct}. If the Wronskian has shrunk to e−2e^{-2} of its initial value after 1010 seconds, find cc.