My BC class studied the logistic equation along with exponential growth problems. We solved the equation in general, looked at the graph of the solution, noted that the inflection point occurs at y= half the limiting value, etc.
My difficulty was coming up with a test problem on this topic. I generated one that (as far as I can tell) didn't really require any calculus and most of them could do the problem and show that they understood the logistic growth curve.
I'm expecting that this topic is likely to be tested this year. I really can't imagine what kinds of question could be asked. I will suggest that my students store the general solution in a program on their calculator in case they need it. I personally feel that actually solving this differential equation on the exam is unreasonably difficult.
I'd appreciate any ideas other folks have on this topic.
Thanks in advance.
Elisse Ghitelman Newton North High School Newton, MA, USA