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This is a question in my calculus book that is frustrating me!

By changing variables to [tex]u[/tex] and [tex]v[/tex], where [tex]u=\alpha(x)y[/tex] and [tex]v=y/x[/tex] with a suitable function [tex]\alpha(x)[/tex] to be determined, find the general solution of the equation [tex]x\frac{\partial f}{\partial x} - 2y\frac{\partial f}{\partial y}=6f(x,y)[/tex].

I can see that the LHS of the equation looks similar to the chain rule, but I can't see how to continue...

Thanks :)

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# PDE question

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