Alright, got a quick differential equation question. So far in my DE class, we have learned 3 methods of solving ODE's -Separation of Variables -"Guessing" (the y=yh+yp method) -Integrating Factors How do you know when to use these methods and when not to? I understand the methods to use each of these three (Although guessing is still pretty sketchy when it comes to actually guessing). Does it have something to do with linearity? Or is it simply just which ever method is "nicer"? I know with integrating factors sometimes you end up with integrals that are impossible to solve, so in that case, you'd need to resort to guessing.