求解(x^3+y^3)dx-3xy^2dy=0的通解

求解(x^3+y^3)dx-3xy^2dy=0的通解

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