A model for the population P(t) in a suburb of a large city is given by the initial-value problem dP P(10-1 - 10-7P), dt P(0) = 4000, %3D where t is measured in months. What is the limiting value of the population? At what time will the population be equal to one-half of this limiting value? (Round your answer to one decimal place.) months

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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.