A vector y = (R(t) POW describes the populations of some rabbits R(t) and foxes F(t). The
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A vector y = (R(t) POW describes the populations of some rabbits R(t) and foxes F(t). The populations obey the system of differential equations given by y' = Ay where
The rabbit population begins at 35000. If we want the rabbit population to grow as a simple exponential of the, form R(t) = R 0 e 31 with no other terms, how many foxes are needed at time r = 0?
(Note that the eigcnvalues of A are ? = 3 and 6.)
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