Hello!
I am lecturing (read blabbing) about how to perform a phase portrait analysis on a non linear DE. The point of this lecture is to teach an alternative way to show what the general family of functions of the DE in question would look like in a slope field format without actually solving the DE analytically. This method is a useful tool to quickly gauge the behavior of a function (graphically) and determine the results’ relevance to the situation called for.
Q.E.D. 3086 