General solution for (x ^ 3 + y ^ 3) dx-3xy ^ 2dy = 0

General solution for (x ^ 3 + y ^ 3) dx-3xy ^ 2dy = 0

x^3dx=3xy^2dy-y^3dx
x^3dx=xdy^3-y^3dx
xdx=dy^3/x+y^3d(1/x)
General solution x ^ 2 / 2 = y ^ 3 / x + C