Given the equation (2xy2+y)dx+(x2y−x)dy=0(2xy^2 + y)dx + (x^2y - x)dy = 0(2xy2+y)dx+(x2y−x)dy=0, what integrating factor μ\muμ depends only on xxx?
μ(x)=x−2\mu(x) = x^{-2}μ(x)=x−2
μ(x)=x2\mu(x) = x^2μ(x)=x2
μ(x)=ex\mu(x) = e^xμ(x)=ex
No such integrating factor exists.