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 —D 0.5Р — 600 dt Plot P' vs P, and the phaseline.

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Chapter2: Second-order Linear Odes
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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.
Transcribed Image Text: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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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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