Well I come up with something that can't be integrated (by any method I know anyway.) I'll post what I have and hope that you (or someone else) can find my mistake.

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We know that f(x) = 1/x is a solution, so I will assume a solution y = f(x)v(x) = v/x.

This gives me

Plugging this into the orginal equation:

Upon simplifying:

Letting w = v' gives

Now, this is separable and leads to

which leads to

However I cannot integrate this to find v(x)....

-Dan