Appeared in: 2023 (3 sets)
The integrating factor of the differential equation $(1 - y^2) \frac{dx}{dy} + yx = ay$, $(-1 < y < 1)$ is
(A) $\frac{1}{y^2 - 1}$
(B) $\frac{1}{\sqrt{y^2 - 1}}$
(C) $\frac{1}{1 - y^2}$
(D) $\frac{1}{\sqrt{1 - y^2}}$