A population P(t) of field mice, where P is the number of mice andt 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 Describe how the evolution of the mice population as t → ∞ depends on the initial population Po = P(0). %3D

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.