At any time t, the rate of growth of the population N of deer in a state park is proportional to the product of N and L − N, where L = 800  is the maximum number of deer the park can sustain. When t = 0,N = 200,and when t = 4,N = 500. Write N as a function of t. (Round your coefficients to four decimal places.) N(t) =

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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.