After a short look on the question formulated in this differential equation forum I came to the conclusion that the teaching of DEs at Universities goes in a wrong direction. The aim of DEs is not “how could I solve them” the point is “what I could do with them”. In practice nobody solves DEs analytically (except of simple linear systems) and it is actually not necessary to know all the tricks and techniques. Students should learn what the DEs describe and how they could be applied to perform modeling of certain phenomena. And in an advanced case, how could I build my own DEs. Just my two cents.