Fish population is able to increase continuously at a rate of 20% per year, but this rate is affected by how close the fish population is to its capacity of 10,000 fish. The population starts at 2500 fish. The population is increasing at a rate of dP/dt =56P(110000P)

a. Find the first degree approximation and a second degree approximation to the solution.

b. What is your approximate for the number of fish after 2 years?