Differential Equations: Direction Fields: Example 1

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In this video I go over an example on how to go about generating a direction field as well as using it to draw a particular solution. The differential equation used is y' = x^2 + y^2 - 1 and a particular solution is graphed that passes through the origin (0, 0). This is a pretty simple but useful video in showing how we can estimate a solution to the differential equation without knowing the actual formula for the solution.

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I don't always sketch the direction field of a differential equation but when I do I usually just use an online generator ;)

mes
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This guy explains in a tone that sounds like "wow you don't even know this??" I kinda like it tho lol

ancalagon