Let y(t) be the population of certain species at time t.
(a). Write down the logistic equation that describes the dynamics of the population,
assuming an environmental carrying capacity K and an intrinsic growth rate r.
(b). Solve the equation for y(t) if K = 1000 and r = 0:1 per year.
(c). How long does it take for the population to be doubled if the initial population is
100

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