Advanced level maths. DE

The following two differential equations attempt to depict the population of a country. ModelA: = ModelB: =[1J. d: 50' d: 50 In both models, 1' is the number of years from year 2000 and P is the population size in millions. (i) For each model, nd P in terms of I, given that the actual population in 2000 is 3 million. [7] (ii) Hence nd the estimated population of the country in 5 years time according to each model. [2] (iii) By considering both models over a very long period of time, comment on their appropriateness. [2]