Consider the equation (3x2y+2xy+y3)dx+(x2+y2)dy=0(3x^2 y + 2xy + y^3) dx + (x^2 + y^2) dy = 0(3x2y+2xy+y3)dx+(x2+y2)dy=0. Which of the following is true?
The equation is exact as written.
The equation can be made exact by multiplying by an integrating factor μ(x)\mu(x)μ(x).
The equation is homogeneous of degree 3.
The equation has no integrating factor.