dP Consider a rabbit population P(t) satisfying the logistic equation = aP - bP“, where B = aP is the time rate at which births occur and D= bP is the rate at which deaths occur. If the initial population is 220 rabbits and there are 6 births per month and 15 deaths per month occurring at time dt t=0, how many months does it take for P(t) to reach 115% of the limiting population M? months (Type an integer or decimal rounded to two decimal places as needed.)

dP Consider a rabbit population P(t) satisfying the logistic equation = aP - bP“, where B = aP is the time rate at which births occur and D= bP is the rate at which deaths occur. If the initial population is 220 rabbits and there are 6 births per month and 15 deaths per month occurring at time dt t=0, how many months does it take for P(t) to reach 115% of the limiting population M? months (Type an integer or decimal rounded to two decimal places as needed.)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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dP
Consider a rabbit population P(t) satisfying the logistic equation
= aP - bP“, where B = aP is the time rate at which births occur and D= bP is the rate at which deaths occur. If the initial population is 220 rabbits and there are 6 births per month and 15 deaths per month occurring at time
dt
t=0, how many months does it take for P(t) to reach 115% of the limiting population M?
months (Type an integer or decimal rounded to two decimal places as needed.)

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