Consider a rabbit population P(t) satisfying the logistic equation = aP - bP, where B = aP is the time rate at which births occur and D = bPʻ is the rate at which dt deaths occur. If the initial population is 220 rabbits and there are 6 births per month and 10 deaths per month occurring at time t= 0, how many months does it take fo P(t) to reach 105% of the limiting population M?

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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.