This is a differential equation problem. A model for a population P(t) in a suburb is given by the initial value problem dP/dt = P((10^-1) - (10^-7)P), P(0) = 4000 where t is measured in months. What is the limiting value of the population, and at what time will the population be equal to 1/2 of the limiting value?

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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.