Consider a population P(t) satisfying the logistic equation dP = aP – bP2 where B = aP is dt - the time rate at which births occur and D = bP² is the rate at which deaths occur. If initial population is P(0) = Po and B, biths per month and Do deaths per month are occuring at BoPo time t = 0, show that the limiting population is M = Do %3D

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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.