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

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^(2)y)dy, where c is a parameter.

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

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

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.

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.