Question: Consider the initial value problem 36y + 60y' + 25y = 0, y(0) = a, y'(0) = -1. Find the critical value of a

Consider the initial value problem 36y" + 60y' + 25y = 0, y(0) = a, y'(0) = -1. Find the critical value of a that separates solutions that become negative from those that are always positive for t > 0. NOTE: Enter an exact answer. a

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