The population growth of species with limited capacity can be modeled by the equation: dN/dt = kN(NM - N) where N is the population size,

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The population growth of species with limited capacity can be modeled by the equation:
dN/dt = kN(NM - N)
where N is the population size, NM is the limiting number for the population, and k is a constant. Consider the case where NM = 5000, k = 0.000095 1/yr, and N(0) = 100. Determine N for 0 < t < 20. Make a plot of N as a function of t.