# Math Help - Logistic Differential Equation

1. ## 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...)

2. Originally Posted by BeiW
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 ...

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

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