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

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

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