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beccajd
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Homework Statement
Given that a population, P, after t months, can be modeled by the logistic model
dP/dt = .3 P (3.5 - P/40).
P(0) = 30
a) Solve the diff eq
b) Find the population after 2.5 months
c) Find lim P(t) as t -> infinity
Homework Equations
P(t) = P0 P1 /(P0 + (P1 - P0 )e^(-AP1 t))
A = k3 /2
P1 = (2k1 / k3 ) +1