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...


A population P(t) of field mice, where P is the number of mice and t is measured<br>in months from some starting point, grows at the rate of 50% per month. However, owls in the<br>neighbourhood eat them at the rate of 600/month. A model for the mice population is given by the<br>differential equation<br>dP<br>— 0.5Р — 600<br>dt<br>Sketch a few solution curves in the t-P plane.<br>

Extracted 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 Sketch a few solution curves in the t-P plane.

Jun 04, 2022
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