Q1. A model that describes the population of a fishery in which harvesting takes place at a constant rate is given by dP/dt 2 hp h, where k and h are positive constants. a) Solve the DE subject to P(0) = P0. b) Describe the behaviour of the population P[t) for increasing time in the three case: P0 > h/k, P0 = 11/18, and P0 U such that P(T) = 0. If the population goes extinct, then find T