The solution to the logistic equation y' = r (1-) y is y(t) L. 1+ e-rt...
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The solution to the logistic equation y' = r (1-) y is y(t) L. 1+ e-rt (the logistic curve, Figure 2.5.9 in the textbook). Assuming an initial condition that is positive and less than the carrying capacity, find the coordinates of the inflection point of the logistic curve. What is the rate of change of y at the inflection point? You might want to use a symbolic differentiation computer package to assist you with some of the computations. Note that there are two different ways to do this problem. YA inflection point The solution to the logistic equation y' = r (1-) y is y(t) L. 1+ e-rt (the logistic curve, Figure 2.5.9 in the textbook). Assuming an initial condition that is positive and less than the carrying capacity, find the coordinates of the inflection point of the logistic curve. What is the rate of change of y at the inflection point? You might want to use a symbolic differentiation computer package to assist you with some of the computations. Note that there are two different ways to do this problem. YA inflection point
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