A population P(t) of field mice, where P is the number of mice and t is measuredin months from some starting point, grows at the rate of 50% per month. However, owls in theneighbourhood eat them at the rate of 600/month. A model for the mice population is given by thedifferential equationdP0.5Р — 600dtPlot P' vs P, and the phaseline.

Answered: A population P(t) of field mice, where…

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 population P(t) of field mice, where P is the number of mice and t is measured
in months from some starting point, grows at the rate of 50% per month. However, owls in the
neighbourhood eat them at the rate of 600/month. A model for the mice population is given by the
differential equation
dP
0.5Р — 600
dt
Plot P' vs P, and the phaseline.

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Given:

A population P(t) of field mice, where P is the number of mice and t is measured in months from some starting point, grows at the rate of 50% per month. The neighbourhood having the rate of 600/month. The differential equation is

dP/dt = 0.5P - 600

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