Populations of owls and mice are modeled by the equations da dy - 1.2y + 0.04.xy 2x – 0.2xy dt dt Answer the following: (a) Which of the variables, a or y, represents the owl population and which represents the mice population? Explain. (b) Find the equilibrium solutions and explain their significance.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Populations of owls and mice are modeled by the equations (equations in picture). Answer the following questions.

1. Which of the variables, x or y, represents the owl population and which represents the mice population? Explain.

2. Find the equilibrium solutions and explain their significance.

Populations of owls and mice are modeled by the equations
dx
dy
- 1.2y + 0.04xy
2x – 0.2xy .
dt
dt
Answer the following:
(a) Which of the variables, x or y, represents the owl population
and which represents the mice population? Explain.
(b) Find the equilibrium solutions and explain their significance.
Transcribed Image Text:Populations of owls and mice are modeled by the equations dx dy - 1.2y + 0.04xy 2x – 0.2xy . dt dt Answer the following: (a) Which of the variables, x or y, represents the owl population and which represents the mice population? Explain. (b) Find the equilibrium solutions and explain their significance.
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