Starting with an initial value of P(0) = 30, the population of a prairie dog community grows at a rate of P'(t) = 50 - (in units of prairie dogs/month), for Osts 100. a. What is the population 14 months later? a. After 14 months, the population is 662 prairie dogs. (Type a whole number. Round to the nearest prairie dog as needed.)

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Q: udent is walk

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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.