Determine the integrating factor μ(x,y)\mu(x, y)μ(x,y) for the non-exact equation (3x2y+2xy+y3)dx+(x2+y2)dy=0(3x^2y + 2xy + y^3)dx + (x^2 + y^2)dy = 0(3x2y+2xy+y3)dx+(x2+y2)dy=0.
μ(x)=ex2\mu(x) = e^{x^2}μ(x)=ex2
μ(x)=ex\mu(x) = e^xμ(x)=ex
μ(x)=x\mu(x) = xμ(x)=x
μ(x)=e3x\mu(x) = e^{3x}μ(x)=e3x