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How would you go about solving this equation?

Differential Equations
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\[xy \prime - y = 2(xy)^{1/2}\]
i know u can use both the homogeneous approach and the Bernoulli method here, but i cant seem to get the right answer.

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\[xy^\prime - y = 2(xy)^{1/2}\\y'=\frac{2(xy)^{1/2}-y}x\\=2(y/x)^{1/2}-y/x\]
cool. thanks!
Uh, there's a mistake in there, I'm afraid... \[xy' - y = 2(xy)^{1/2}\] xy' = 2(xy)^{1/2}+y\] \[y' = \frac{2(xy)^{1/2}+y}{x} = 2(y/x)^{1/2}\color{red}{+}y/x\]
ah yes, thanks for spotting that @whpalmer4
yes, just noticed. thanks!

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