Question # 7.3 F(E)]' describes A vector y = [R CE) of some obey the system of defferential equations given by y'= Ay rats R(t) and the papu lations falcons FCt). 'The populations where -171 A = 880 -36 185 The rat population starts at the rat' population to of the form RCt) = Roet with no other terms, how many falcons are needed at time t=0? (note that eigenvalves of A are X=5 and 9.) 19000. If you want as a Simple exponential grow

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 31E
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Question # 7.3
A vector y = [R CE) F(t)]' describes
rats R(t) and
the papu lations
falcons FCt). 'The populations
of some
obey the system of defferential equations given by
y'= Ay
where
-171
A =
880
-36
185
The rat population starts at
the rat' population to
of the form RCt) = Roet with no other terms, how many
falcons are needed at time t=0?
(nate that eigenvalves of A are X=5 and 9.)
19000. If you want
as a Simple exponential
grow
Transcribed Image Text:Question # 7.3 A vector y = [R CE) F(t)]' describes rats R(t) and the papu lations falcons FCt). 'The populations of some obey the system of defferential equations given by y'= Ay where -171 A = 880 -36 185 The rat population starts at the rat' population to of the form RCt) = Roet with no other terms, how many falcons are needed at time t=0? (nate that eigenvalves of A are X=5 and 9.) 19000. If you want as a Simple exponential grow
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