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Solve the following differential equation:

x = py - y^2

where  p = \frac{dy}{dx}

asked Aug 17, 2017 by randomisation (1,920 points)  
edited Aug 19, 2017 by randomisation

1 Answer

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x = py - p^2 \implies p^2 - py + x = 0 \implies p = \frac{y \pm \sqrt{y^2 - 4x}}{2}

[Incomplete]

answered Aug 17, 2017 by randomisation (1,920 points)  
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