THE COMPLETE SOLUTION MUST BE DONE IN PYTHON 3

The dynamics of population growth are important in various planning studies such as transportation and water resources engineering. One of the simplest models of such growth incorporates the assumption that the rate of change of the population p is proportional to that which exists at any time t:

where G = growth rate (annual). This model makes intuitive sense because the larger the population, the larger the number of potential parents. At time t = 0, an island has a population of 6,000 people. If G = 0.075 per year, use the MID-POINT METHOD (h = 0.25) to predict the population at t = 10 years.

dp dt Gp