Starting with an initial value of P(0)= 55, the population of a prairie dog community grows at a rate of P'(t)= 20 - t/5 (prairie dogs>month), for 0 ≤ t ≤ 200, where t is measured in months.a. What is the population 6 months later?b. Find the population P(t), for 0 ≤ t ≤200.

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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.