In: Advanced Math
A model for the population
P(t)
in a suburb of a large city is given by the initial-value problem
dP |
dt |
= P(10−1 − 10−7P), P(0) = 3000,
where t is measured in months. What is the limiting
value of the population?
At what time will the population be equal to one-half of this
limiting value? (Round your answer to one decimal place.)
months