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A forest has a population of lynx and a population of rabbits. Let a represent the number of lynx (in hundreds) above some level, denoted with 0. So x = - 3 corresponds NOT to an absence of lynx, but to a population that is 300 below the designated level of lynx. Similarly, let y represent the number of rabbits (in hundreds) above a level designated by zero. The following system models the two populations over time: x' = - 0.25x + y y' = -x + 4y Solve the system using the initial conditions (0) = 0 and y(0) = 1. x(t) = y(t) = Choose the graph that best represents the solution curve. =

A forest has a population of lynx and a population of rabbits. Let a represent the number of lynx (in hundreds) above some level, denoted with 0. So x = - 3 corresponds NOT to an absence of lynx, but to a population that is 300 below the designated level of lynx. Similarly, let y represent the number of rabbits (in hundreds) above a level designated by zero. The following system models the two populations over time: x' = - 0.25x + y y' = -x + 4y Solve the system using the initial conditions (0) = 0 and y(0) = 1. x(t) = y(t) = Choose the graph that best represents the solution curve. =

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 17EQ
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A forest has a population of lynx and a population of rabbits. Let xx represent the number of lynx (in hundreds) above some level, denoted with 0. So x=−3x=-3 corresponds NOT to an absence of lynx, but to a population that is 300 below the designated level of lynx. Similarly, let yy represent the number of rabbits (in hundreds) above a level designated by zero. The following system models the two populations over time:

x'=−0.25x+yx′=-0.25x+y

y'=−x+4yy′=-x+4y

Solve the system using the initial conditions x(0)=0x(0)=0 and y(0)=1y(0)=1.

x(t)x(t) =   

y(t)y(t) =   

Choose the graph that best represents the solution curve.

A forest has a population of lynx and a population of rabbits. Let a represent the number of lynx (in hundreds) above some level, denoted with 0. So x = - 3 corresponds NOT to an absence of lynx, but to a population that is 300 below the designated level of lynx. Similarly, let y represent the number of rabbits (in hundreds) above a level designated by zero. The following system models the two populations over time: x': = 0.25x + y y' = - x + 4y Solve the system using the initial conditions (0) = 0 and y(0) = 1. x(t) = y(t) = Choose the graph that best represents the solution curve. O
Transcribed Image Text:A forest has a population of lynx and a population of rabbits. Let a represent the number of lynx (in hundreds) above some level, denoted with 0. So x = - 3 corresponds NOT to an absence of lynx, but to a population that is 300 below the designated level of lynx. Similarly, let y represent the number of rabbits (in hundreds) above a level designated by zero. The following system models the two populations over time: x': = 0.25x + y y' = - x + 4y Solve the system using the initial conditions (0) = 0 and y(0) = 1. x(t) = y(t) = Choose the graph that best represents the solution curve. O
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