A vector y = [R(t) F(t)] 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 A = - [" -568 -66 The rabbit population begins at 44800. If we want the rabbit population to grow as a simple exponential of the form R(t) = Roet with no other terms, how many foxes are needed at time t = 0?
A vector y = [R(t) F(t)] 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 A = - [" -568 -66 The rabbit population begins at 44800. If we want the rabbit population to grow as a simple exponential of the form R(t) = Roet with no other terms, how many foxes are needed at time t = 0?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Question
![A vector y =
[R(t) F(t)]¹ 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
77 -568
A =
9
-66
form R(t)
The rabbit population begins at 44800. If we want the rabbit population to grow as a simple exponential of the
Roet with no other terms, how many foxes are needed at time t = 0?
(Note that the eigenvalues of A are λ = 6 and 5.)
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca6b5de9-d666-4be4-bec5-372f49facd74%2F41fcee21-5bbe-4a55-99bf-60f0f0b69799%2Fvzafskc_processed.png&w=3840&q=75)
Transcribed Image Text:A vector y =
[R(t) F(t)]¹ 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
77 -568
A =
9
-66
form R(t)
The rabbit population begins at 44800. If we want the rabbit population to grow as a simple exponential of the
Roet with no other terms, how many foxes are needed at time t = 0?
(Note that the eigenvalues of A are λ = 6 and 5.)
=
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