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hey guys welcome to another video and in this video I will be discussing the classification of differential equations so the goal of the previous videos was to introduce you guys into what a differential equation is and basically just give you the idea that were not just solving for a value we are solving for a function that fits the behavior described by the equation and that brings us to this video where we will talk about how we classify those equations so the first characteristic that we classify a differential equation by is its order so when we talked about slope fields we had an equation that looked like this where this guy is the first derivative of our unknown function and it is a function of x and y and since we are dealing with only the first derivative we call this a first order differential equation so what order means is the term that carries the highest derivative so for example if we had this equation and we recognize that we have a second derivative in this equation