Part: c:Suppose the rabbit-wolf population (rw) are governed by the following coupled differentialequationdr= ar + bwdedw= cr + dwdrWhere a, b, c and d are some unknown constants.If this coupled differential equation is written as a vector differential equation aswhere A= and u =du= AuAnd given that eigenvalues of A are -3 and -1 with corresponding eigenvectors vi=GJ&v:=H, find the rabbit and wolf population i.e the functions r(1) and w(t) at any time tif initial rabbit population ro is 2 and wolf population wo is 3?

We are given the following differential equation drdt=ar+bwdwdt=cr+dw where a, b, c, and d are some…

Suppose the rabbit-wolf population (rw) are governed by the following coupled differential equation = ar + bw de dw cr + dw dt Where a, b, c and d are some unknown constants. If this coupled differential equation is written as a vector differential equation as d = Au where A=: and u= And given that eigenvalues of A are -3 and -1 with corresponding eigenvectors v= J&v=, find the rabbit and wolf population i.e the functions r(t) and w(t) at any time t if initial rabbit population ro is 2 and wolf population wo is 3?

Suppose the rabbit-wolf population (rw) are governed by the following coupled differential equation = ar + bw de dw cr + dw dt Where a, b, c and d are some unknown constants. If this coupled differential equation is written as a vector differential equation as d = Au where A=: and u= And given that eigenvalues of A are -3 and -1 with corresponding eigenvectors v= J&v=, find the rabbit and wolf population i.e the functions r(t) and w(t) at any time t if initial rabbit population ro is 2 and wolf population wo is 3?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Part: c:
Suppose the rabbit-wolf population (rw) are governed by the following coupled differential
equation
dr
= ar + bw
de
dw
= cr + dw
dr
Where a, b, c and d are some unknown constants.
If this coupled differential equation is written as a vector differential equation as
where A= and u =
du
= Au
And given that eigenvalues of A are -3 and -1 with corresponding eigenvectors vi=
GJ&v:=H, find the rabbit and wolf population i.e the functions r(1) and w(t) at any time t
if initial rabbit population ro is 2 and wolf population wo is 3?

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