Hi, Usually, it takes a while for me to digest information, because I have a lot of filters in my mind and to remember and understand things I have to put all the new information in context. I have to have an interpretation of the content. For this reasons I am doing terribly in my ODE course because the lecturer just spurts out case specific methods for solving ODEs, one after another. It feels a bit like I am learning chess instead of Math. I am very depressed that I do not fully understand differential equations, why do they exist in the current scheme of mathematics? How are they different from other regular equations? As far as I have thought, ODEs are alternate representations of normal functions, but are somehow more useful in practical situations, why would that be? For a more specific question, consider a first order linear separable ODE, why do we bring bring the g(y) term to the denominator on the left hand side, what are we trying to do by separating the equation in this manner? If your answer is, "because then you can answer it", I already know that, but I need a graphical or geometric interpretation to convince me that that is the only way to do it. I suppose it's a pretty hard request, since most people do not go about learning in this way.