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Hey guys, in this video Im going to go over how to draw the trace- determinant plane and how to use this plane to figure out how to classify a phase plane portrait. To keep the video short, Im not going to go over stability of these points. Im just going to go over how to classify the type. Whether its center, spiral, saddle point, and etc. And Ill go over stability maybe in another video. This is a nice graphic. I actually used this when I took Differential Equations. I definitely didnt create it myself. I got it off the internet and I just cut and pasted it from some powerpoint slides. I will put the link to those slides down in the description box below. And this is the trace-determinant plane that I liked to study when I was memorizing how to determine the phase plane portraits. Okay so how do you draw a trace-determinant plane and what are the important parts that you have to remember? Its basically an x and y-axis where the x is instead the trace and the y-axis is the det