2x^3 + x^2 Y - xy^3 = 2
6x^2 + x^2 y' +2yx - x^3 yy' + y^3 = 0
6x^2 + 2yx + y^3 = x^3 yy' - x^2 y'
6x^2 + 2yx + y^3 = y'(x^3 y - x^2)
y' = (6x^2 + 2yx + y^3) / (x^3 y - x^2)
y' = (6x^2 + 2yx + y^3) / x^2(xy-1)
My question, is that right and can I go further, especially with the numerator? I can not check my answer, since I did not have the solution.