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    Important information about logistic models

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    A population obeys the logistic model. It satisfies the equation

    dP/dt = 2/1300 P(13-P) for P>0

    Assume P(0)= 3 Find P(74)

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    https://brainmass.com/math/calculus-and-analysis/important-information-about-logistic-model-25545

    Solution Preview

    dp
    -- = (2*p*(13-p)) / 1300
    dt

    Using seperation of variables:

    dp
    ------- = (2/1300) * dt
    p(13-p)

    Note: by partial fractions we can turn 1/p(13-p) into

    1/13*p + 1/(13)(13-p) which makes our differential equation

    dp dp
    ---- + --------- ...

    Solution Summary

    This shows how to use the logistic model to solve a function for a given value.

    $2.19

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