Verify that the differential equation for logistic growth can be converted into the linear differential equation by replacing by .
Obtain the equation of logistic growth by first solving the differential equation for a function of and then reintroducing .
Source: R.L. Rosenberg. (1984). Elementary Calculus: Course Notes. Ottawa, Canada: Holt, Rinehart and Winston. (Exercise 45: Question 3, p. 134)