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one of the skills that were gonna have to sharpen over time is being able to categorize differential equations because heres kind of a big picture view of whats going to happen here see youll be handed a differential equation to solve and the way that we attack it depends on certain properties of that differential equations different differential equations are attacked based off of certain characteristics Ill give you a list of these characteristics in a little while so if its a first-order separable differential equation you do one thing if its a second order homogeneous differential equation you do another thing and so the good news for us is we dont have to discover any of these methods of attack or how to solve these over the course of time were just going to learn all of the different techniques that have already been discovered and just apply them in the right situation so its good news for us in a way but all this hinges on the fact that we can actually read it that w