E/P 7 a Express P(10 000 - P) using partial fractions. (3 marks) The deer population, P, in a reservation can be modelled by the differential equation ap 1 20 000 P(10 000 - P) where / is the time in years since the study began. Given that the initial deer population is 2500. b solve the differential equation giving your answer in the form P = b + ce-0.5: (6 marks) c Find the maximum deer population according to the model. (2 marks)