Possibly Mathematica specific.
Here f[x] is a mathematica least squares fit to a dataset.
"Use f[x]=E^(5 + .5 x) to get a good fit with a solution of the logistic differential equation"
GIVEN
Solution to the logistic differential equation
y[x] -> (b*E^(r*x + b*k))/(-1 + E^(r*x + b*k))
Now somehow, I am supposed to reconcile F[x] into y[x], and create some kind of logistic model. Is it just a case of identifying the relative variables between the equations, and then use substitution, or is there more to this, requiring some manipulation?

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