Right. When we write it immediately means that is a function of variable only - so there is no term.

I think you want to say if instead of we had . Yes, in that case we have a Bernoulli equation which can be turned into a first-order linear differencial equation - as above.IF Q(x) DID have a y variable to the nth power, then it would be Bernoulli right?

It needs to have the form and .2. For a D.E. to be considered Exact, it must first pass the test for exactness even though it is of the form P(x)dx + Q(x)dy = 0 correct?

The best thing to do is to learn how to recognize what kind of differencial equation it is. Once you recognized it then you know the method to use to solve it.3. I'm having a hard time knowing initially which method will prove to be the fastest and most efficient given some random problem in the book. Any tips or tricks you guys can let me know about?