Writing and running a simple program to develop a model for a population of small rodents. We will assume that the population can be represented by a simple growth equation where the population produces offspring depending on the population size.

The model is described by this equation: , where N is the number of animals in the population, t is the time, and r is the growth rate coefficient (in your text, this is called the intrinsic per capita growth rate). At the starting time (t = 0), the population will have 2 organisms. In other words, N0 = 2. Assume that the rodents reproductive rate is 50% per month (r = 0.5). Therefore our unit for time is the month. The task, here, is to write a program to solve the model (Equation 1) for times up to 10 months.

Use C language to build this, also list the name of software used to build