A fish hatchery has500 fish at t=0, when harvesting begins at a rate of b>0 fish/year. The fish population is modeled by the initial value problem y'(t)=0.03y-b, y(0)=500, where t is measured in years.

a) Find the fish population, for t>=0, in terms of the harvesting rate b.

b) Graph the solution in the case that b=90 fish/year. Describe the solution.

a) Find the fish population in terms of the harvesting rate b.