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Given that y(t) = cest + cze-st is a solution to the differential equation y 9y = 0, where C, and C2 are arbitrary

Given that y(t) = cest + cze-st is a solution to the differential equation y" 9y = 0, where C, and C2 are arbitrary constants, find a function y(t) that satisfies the conditions y" 9y = 0, y(0) = 2, lim y(t) = 0. t--00 y(t) =| help (formulas).

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