2)

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^-3 P), P(0)= 20000, where t is measured in years. a. What is the limiting value of the population? b. At what time will the population be equal to one-half of this limiting value?. 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^-3 P), P(0)= 20000, where t is measured in years. a. What is the limiting value of the population? b. At what time will the population be equal to one-half of this limiting value