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-0.625x + y y' = -x -0.625y X =

-0.625x + y y' = -x -0.625y X =

Advanced Engineering Mathematics
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
stylus 5G A forest has a population of wolves and a population of squirrels. Let a represent the number of wolves (in 3 corresponds NOT to an absence of wolves, but to hundreds) above some level, denoted with 0. So x = a population that is 300 below the designated level of wolves. Similarly, let y represent the number of squirrels (in hundreds) above a level designated by zero. The following system models the two populations over time: - 0.625x + y x' - y' = - x -0.625y Solve the system using the initial conditions (0) = 0 and y(0) = 1. x(t) = - y(t) =
Transcribed Image Text:stylus 5G A forest has a population of wolves and a population of squirrels. Let a represent the number of wolves (in 3 corresponds NOT to an absence of wolves, but to hundreds) above some level, denoted with 0. So x = a population that is 300 below the designated level of wolves. Similarly, let y represent the number of squirrels (in hundreds) above a level designated by zero. The following system models the two populations over time: - 0.625x + y x' - y' = - x -0.625y Solve the system using the initial conditions (0) = 0 and y(0) = 1. x(t) = - y(t) =
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