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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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Best answer

Given,

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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by (180 points)
y=sin-1x/√(1-x2) Read more on Sarthaks.com - https://www.sarthaks.com/50532/if-y-sin-1x-1-x-2-show-that-1-x-2-d-2y-dx-2-3xdy-dx-y-0

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