Prove that x2−y2=C(x2+y2)2 is the general solution of differential e – InterviewSolution

1.	Prove that x2−y2=C(x2+y2)2 is the general solution of differential equation (x3−3xy2)dx=(y3−3x2y)dy, where C is a parameter.
Answer» Prove that $x^{2} - y^{2} = C (x^{2} + y^{2})^{2}$ is the general solution of differential equation $(x^{3} - 3 x y^{2}) d x = (y^{3} - 3 x^{2} y) d y,$ where C is a parameter.

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