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## Homework Statement

[tex]\frac{1}{xy}[/tex] [tex]\frac{dy}{dx}[/tex] = [tex]\frac{1}{(x^2 + 3y^2)}[/tex]

## Homework Equations

used the substitutions:

v = [tex]\frac{x}{y}[/tex] ,and

[tex]\frac{dy}{dx}[/tex] = [tex]v + x[/tex] [tex]\frac{dv}{dx}[/tex]

## The Attempt at a Solution

took out a factor of xy on the denominator of the term on the right hand side and multiplied through by xy, made the substitutions and at the moment I have something that looks like this:

[tex]\frac{1}{v + 3/v}[/tex] = v + x [tex]\frac{dv}{dx}[/tex]

as it stands I cant see a way to do this by separation of variables, is it solvable by integrating factor? anyone got any ideas?