Two interacting populations of hares and foxes can be modeled by the recursive equations h(t + 1) = 4h(t) − 2 f (t) f(t+1)=h(t)+ f(t). For each of the initial populations given in parts (a) through (c), find closed formulas for h(t) and f (t).  a. h(0)= f(0)=100 b. h(0)=200, f(0)=100 c. h(0)=600, f(0)=500

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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Two interacting populations of hares and foxes can be modeled by the recursive equations

h(t + 1) = 4h(t) − 2 f (t)

f(t+1)=h(t)+ f(t).

For each of the initial populations given in parts (a) through (c), find closed formulas for h(t) and f (t). 

a. h(0)= f(0)=100

b. h(0)=200, f(0)=100

c. h(0)=600, f(0)=500

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