The Integrating Factor of the differential equation is

MATHEMATICS · Single correct · CBSE · Mathematics · Differential Equations · Differential Equations

Problem

19. The Integrating Factor of the differential equation

\left(1-y^{2}\right) \frac{d x}{d y}+y x=a y(-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}}}