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Then I figured out the other side, in which the 2 is gone, and d/dx of x^2y is x^2y' + 2xy

Then.. I'm trying to solve for dy/dx, so..

[tex]\frac{1}{\sqrt{0.5(xy'+y)}}=x^{2}y' + 2xy[/tex]

Which becomes

[tex]\frac{1}{\sqrt{0.5(xy'+y)}} - x^{2}y' = 2xy[/tex]

And then... I'm stuck :(