Prove that x^2 - y^2 = c (x^2 + y^2)^2 ...

Prove that `x^2 - y^2 = c (x^2 + y^2)^2` is the general solution of differential equation `(x^3-3xy^2)dx = (y^3 - 3x^2y)dy`, where c is a parameter.

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