The integrating factor of the differential equation $\left(1-x^2\right) \frac{d y}{d x}+x y=a x$, $-1

Question

The integrating factor of the differential equation $\left(1-x^2\right) \frac{d y}{d x}+x y=a x$, $-1<x<1$, is :

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The integrating factor of the differential equation \(\left(1-x^2\right) \frac{d y}{d x}+x y=a x\), \(-1<x<1\), is…