Solve the exact differential equation (3x2+4xy)dx+(2x2+2y)dy=0(3x^2 + 4xy)dx + (2x^2 + 2y)dy = 0(3x2+4xy)dx+(2x2+2y)dy=0.
x3+2x2y+y2=Cx^3 + 2x^2y + y^2 = Cx3+2x2y+y2=C
x3+4x2y+y2=Cx^3 + 4x^2y + y^2 = Cx3+4x2y+y2=C
3x3+2x2y+y2=C3x^3 + 2x^2y + y^2 = C3x3+2x2y+y2=C
x3+2xy2+y=Cx^3 + 2xy^2 + y = Cx3+2xy2+y=C