A given field mouse population satisfies the differential equation dp dt = 0.5p − 410 where p is the number of mice and t is the 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.
The detailed, step by step explanation and application of integral with appropriate substitution to get the expression for the time of extinction is as shown in the attachment.
