A forest has a population of cougars and a population of chipmunks. 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 number of chipmunks (in hundreds) above a level designated by zero. The following system models the two populations over time: x' = 0.625x + y y' = - x - 2.625y Solve the system using the initial conditions (0) = 0 and y(0) = 1. x(t) = y(t) = =

A forest has a population of cougars and a population of chipmunks. 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 number of chipmunks (in hundreds) above a level designated by zero. The following system models the two populations over time: x' = 0.625x + y y' = - x - 2.625y Solve the system using the initial conditions (0) = 0 and y(0) = 1. x(t) = y(t) = =

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter11: Systems Of Equations

Section11.5: Cramer's Rule

Problem 35PS

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