the logistic differential equation models the growth rate of a population. use the equation to find the value of k, find the carrying capacity, use a computer algebra system to graph a slope field, and determine the value of P at which the population growth rate is the greatest.   the differential equation is : dP/dt = 0.1P - 0.0004 P2

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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.