A forest has a population of cougars and a population of squirrels. Let xx represent the number of cougars (in hundreds) above some level, denoted with 0. So x=−3x=-3 corresponds NOT to an absence of cougars, but to a population that is 300 below the designated level of cougars. Similarly, let yy represent the number of squirrels (in hundreds) above a level designated by zero. The following system models the two populations over time:x'=−0.5x+yx′=-0.5x+yy'=−x−2.5yy′=-x-2.5ySolve 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 cougars and a population of squirrels. Let a represent the number of cougars(in hundreds) above some level, denoted with 0. So x = - 3 corresponds NOT to an absence of cougars,but to a population that is 300 below the designated level of cougars. Similarly, let y represent the numberof squirrels (in hundreds) above a level designated by zero. The following system models the twopopulations over time:x' =-0.5x + yy' =-x - 2.5y= : 1.Solve the system using the initial conditions (0) = 0 and y(0)x (t) =y(t) =Choose the graph that best represents the solution curve.

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Answered: A forest has a population of cougars…

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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A forest has a population of cougars and a population of squirrels. Let xx represent the number of cougars (in hundreds) above some level, denoted with 0. So x=−3x=-3 corresponds NOT to an absence of cougars, but to a population that is 300 below the designated level of cougars. Similarly, let yy represent the number of squirrels (in hundreds) above a level designated by zero. The following system models the two populations over time:

x'=−0.5x+yx′=-0.5x+y

y'=−x−2.5yy′=-x-2.5y

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.