The field mouse population satisfies the differential equation dp P 450. dt 2 (b1). Find the time at which the population becomes extinct if p(0) the formula of general solution directly). = 800 (you may use (b2). What is the minimal p(0) you can pick such that the mice won't extinct? (b3). If p(0) = 1000, what will happen? Does the solution p(t) look reasonable in reality?

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