A given field mouse population satisfies the differential equation dp dt = 0.5p − 410 where p is the number of mice and t is t
he time in months. (a) Find the time at which the population becomes extinct if p(0) = 770. (Round your answer to two decimal places.) 5.6 Incorrect: Your answer is incorrect. month(s) (b) Find the time of extinction if p(0) = p0, where 0 < p0 < 820.
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The following information will help us with this problem:
When we use that information in the context of this problem, we can find:
Thus, a = 15, b = 7, and c = 4.