A population of fish is modeled by the equation dP/dt = .00016P(1300-P)+20 with an initial population of 620 fish, where t is measured in months.What is the initial rate of growth in the population per month. What does the model project the population will be in the long term?

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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.