A population of mountain lions is represented by the logistic differential equation
(dP)/(dt)=0.06P-0.000075P^(2)
where
t
is measured in years. (a) Find
k
and the carrying capacity for the population. (b) The initial population is
P(0)=25
mountain lions. Find a formula for the population in terms of
t
. (c) How long will it take the population to reach 450?

Question

A population of mountain lions is represented by the logistic differential equation

(dP)/(dt)=0.06P-0.000075P^(2)

where

t

is measured in years. (a) Find

k

and the carrying capacity for the population. (b) The initial population is

P(0)=25

mountain lions. Find a formula for the population in terms of

t

. (c) How long will it take the population to reach 450?

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