Suppose P(t)P(t) represents the population of a certain mosquito colony, where tt is measured in days. The current population of the colony is known to be 568568 mosquitos; that is, P(0)=568P(0)=568. If P'(0)=117P′(0)=117 mosquitos per day, estimate the size of the population in 55 days

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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.