\text { Show that } \mu(x, y)=\frac{1}{x y\left(x^{3}+y^{3}\right)} \text { is an integrating factor of the differential } equation y\left(2 y^{3}-x^{3}\right) \mathrm{d} x+x\left(2 x^{3}-y^{3}\right) \mathrm{d} y=0 and find its general

solution.