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in Continuity and Differentiability by (37.2k points)
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If y = \(\frac{sin^{-1}x}{\sqrt{1-x^2}}\), then show that (1-x2)\(\frac{d^2y}{dx^2}-3x\frac{dy}{dx}-y=0.\)

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y = \(\frac{sin^{-1}x}{\sqrt{1-x^2}}\)

Differentiating with respect to x, we get

Again differentiating with respect to x, we get

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y=sin-1x/√(1-x2) Read more on -

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