The natural resources of an island limit the growth of the population to a limiting value of 3715. The population of thr island is modeled by the logistic equation P ( t ) = 3715 over 1 + 5.84 e -0.39 t , where t is the number of years after 1980. Find the rate of change P ' ( t ) of the population with respect to time.

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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.