Solving a Riccati Differential Equation

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In this video, I explain how to solve the Riccati differential equation y’ = y^2/x + y/x + x. At some point, I said “ p+qy+ry’ ” but I mean “ p+qy+ry^2 ”. All equations are written correctly.
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Wow this lecture was so clear and straightforward. It is honestly the easiest to understand that I’ve encountered here on YouTube esp on the part where the substitution u = ry is made. Thank you!

mahlolimakhetha