3. A conservation organization releases 100 animals of an endangered species into a game preserve. During the first 2 years, the population increases to 103 animals. The organization believes that the preserve has a capacity of 200 animals and that the herd will grow according to a logistic growth model. That is, model assumes that the rate of growth is proportional to both the quantity y and the difference between the quantity and the limit L. (30%)
(a) Write a differential equation where the size y of the herd will follow the equation and t is measured in years. (10%)