Identify the integrating factor μ(x)\mu(x)μ(x) for the 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.
The equation is not exact and requires an integrating factor depending on xxx only.
The equation is already exact.
An integrating factor μ=ex\mu = e^xμ=ex exists.
An integrating factor μ=x2\mu = x^2μ=x2 exists.