The population of a suburb grows at a rate proportional to the population. Suppose the population doubles in size from 4000 to 8000 in an 18-month period and continues at the current rate of growth (a) Write a differential equation that models the population P at time t in months (b) Find the general solution to the differential equation (c) Find the particular solution to thedifferential equation with initial condition P(0) 4000. d) What will the population be in 4 years, 48 months