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The field mouse population in Example 1 satisfies the differential equation dy dt = p 2 − 450 . dydt=p2−450. a.Find the time at which the population becomes extinct if p(0) = 850. b.Find the time of extinction if p(0) = p0, where 0 < p0 < 900. c.Find the initial population p0 if the population is to become extinct in 1 year.

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Hashirriaz830

Answer:

note:

solution is attached in word form due to error in mathematical equation. furthermore i also attach Screenshot of solution in word due to different version of MS Office please find the attachment

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The "Example 1" you refered to, is not stated. Nevertheless, there are enough information to determine everything you asked.

Answer:

(a) If p(0) = 850, at approximately time t = 5.78 months, the population becomes extinct.

(b) The time of extinction if p(0) = p_0 is

t = 2ln[900/(900 - p_0)] months

(c) The initial population if the population is to become extinct in 1 year is approximately 897.8

Step-by-step explanation:

SEE ATTACHMENT FOR THE STEP-BY-STEP WORKINGS.

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