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Math Help - Logistic Differential Equation

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    Logistic Differential Equation

    The number of moose in a national park is modeled by the function M that satisfies the logistic differential equation
    , where t is the time in years and M(0)=50. What is ?

    Does this have anything to do with the formula M/(1+A(e^(-kt)))
    (sorry, I couldn't input that into Wolfram for some reason...)
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    Quote Originally Posted by BeiW View Post
    The number of moose in a national park is modeled by the function M that satisfies the logistic differential equation
    , where t is the time in years and M(0)=50. What is ?

    Does this have anything to do with the formula M/(1+A(e^(-kt)))
    (sorry, I couldn't input that into Wolfram for some reason...)
    change the form to \frac{dy}{dt} = ky(L-y) , where L is the limiting value ...

    \frac{dM}{dt} = \left(\frac{0.6}{200}\right)M\left[200-M\right]

    \lim_{t \to \infty} M(t) = 200
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