The hatchery was recently bought out by a corporation and the new owners are planning on allowing people to fish at the hatchery. So, the previous differential equation will no longer be a good prediction of the fish population at a given time. Below, find three possible differential equations that model the population of the fish in the hatchery, under the new assumption that people will be allowed to fish at the hatchery. Which of the three differential equations best models the new situation and why did you choose this one? (Assume the constant k represents the annual harvesting rate.) dP P 1 25) (a) = 2P - kP dt dP P – - k` (b) = 2P ( 1 - dt 25 dP (c) 2P (1 P)

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.