Appeared in: 2024 (2 sets)
The integrating factor of the differential equation $(1 - x^2) \frac{dy}{dx} + xy = ax$, $-1 < x < 1$, is :
(A) $\frac{1}{x^2 - 1}$
(B) $\frac{1}{\sqrt{x^2 - 1}}$
(C) $\frac{1}{1 - x^2}$
(D) $\frac{1}{\sqrt{1 - x^2}}$