In some situations, the rate at which members of a population are harvested depends on the population. For example, if there are more fish in a school of fish, the fisherman will catch a larger number of fish. Let the rate of harvesting depend linearly on the population asH=hP where H is the rate at which fish are caught, and h is a constant. (a) What is the differential equation for logistic growth of the school of fish? (b) What is the logistic function (the solution to the differential equation) for this logistic growth?