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Dt this is an ordinary dierential equation of rst

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Unformatted text preview: we use the velocity v = x￿ (t), we find the differential equation dv mg + γ v + m = 0. dt This is an ordinary differential equation of first order because it involves just the first derivative of the velocity v = v (t). Let P = P (t) denote the size of a population at time t. If we assume that the rate of change of the size if proportional both to the size of the population as well as the difference from the maximal sustainable size K of the population, then we find the differential equation ￿ ￿ P dP −r P 1 − + = 0. K dt This is an ordinary differential equaiton of first order because it involves just the first derivative of the population size P = P (t). mg + γ...
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