Suppose that a population of alligators has a constant death rate and birth rate proportional toP. If, initially there are 110 alligators, and alligators are dying at a rate of12 per year and being born at a rate of 11 per year initially: (a) What is the threshold population? (b) How long will it take until there are only 11 alligators left?

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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.