Sorry I couldn't think of any more relevant title. Here's the equation:(adsbygoogle = window.adsbygoogle || []).push({});

[itex]{x^2} - 3{y^2} + 6xy\frac{{dy}}{{dx}} = 0[/itex]

I'm thinking of rewriting the above to [itex]\frac{{dy}}{{dx}} = \frac{{3{y^2} - {x^2}}}{{6xy}}[/itex] followed by a change of variable u=y/x. But should I rule out the case when either x=0 or y=0 first? I'd also love to see if there's any alternative way to solve this ODE, thanks!

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# Differential equation

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