Let Yt denote the number of rabbits in a certain area at
Chapter , Problem 67(choose chapter or problem)
Let Yt denote the number of rabbits in a certain area at time t and y2 denote the number of foxes in this area at time 1. Suppose that at time 0 there are 900 rabbits and 300 foxes in this area and assume that tl1e system of differential e<1uations y; = 2)'1 - 4)'2 Yl = )'t - 3y2 expresses the rate at which the number of animals of each species changes. {a) Find the particular solution of this system. (b) Approximate ly how many of each species will be present at times 1 = I. 2. and 3? For each of these times. compute the ra1io of foxes to rabbits. (c) Approximately what is the eventual ratio of foxes to rabbits in this area? Does this number depend o n the initial numbers of rabbits and foxes in the area?
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