question one

2. (a) In a certain city, the rate of growth of the population PG) at time t is proportional to the current population growth. Set this up as a differential equation model. (b) In 1950 the population was P{ 1950) = 1, 234, 000 and in 1960 the population was P(1960) = 1, 578, 000. Calculate the population in 1940. (c) In a sentence or two, state the key limitation of the model you have used