I'm finishing up rewriting the course of study for the BC course (adding in NJ's core curriculum standard numbers and making changes to suit the new Acorn Book info). The Acorn book is organized differently so it's not easy for me to guarantee I understand what is required.
In the area of differential equations, am I correct in understanding that only separable diff eqs are needed (including logistic which needs partial fractions to separate)? No others? I've always gone into 1st order linear, some 2nd order where the right side is Ae^(nx), Axe^(nx) and some trig, and homogeneous and exact diff eqs. (BTW my BC course is a full year following a full year of AB so I have more time than most). Before I remove these others, which I might still cover if I have time, I want to be sure that nothing beyond separation (and logistic and Euler's method and slope fields) is needed. Any comments?