- #1

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## Homework Statement

If ##y(x-y)^2=x##, then find

$$\int \frac{dx}{x-3y}$$

## Homework Equations

## The Attempt at a Solution

I tried expanding the given equation. That gives me a cubic in y. I found no way to solve the cubic equation. I plugged the equation in Wolfram Alpha to see if it gives any nice solution but nope, no luck there too. Now I think that this is some sort of trick question but I don't really know where to begin.

Any help is appreciated. Thanks!