Let R be the number of rabbits, in hundreds, and F be the number of foxes at any given

Chapter 7, Problem 9

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Let R be the number of rabbits, in hundreds, and F be the number of foxes at any given time, t. If there are no foxes, the rabbit population grows at a rate proportional to the population. That is, dR/dt equals k1R, where k1 is a positive constant. Show that the rabbit population grows exponentially with time under this condition.

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