Find (dy)/(dx) if y^(3)-3y^(2)x = x^(3)+...

Find `(dy)/(dx)` if `y^(3)-3y^(2)x = x^(3)+3x^(2)y`

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The correct Answer is:

`(dy)/(dx) = ((x^(2) +2xy +y^(2)))/((y^(2) -2xy -x^(2)))`

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