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If y = log [x + \(\sqrt{x^2+1}\)], then prove that (x2 + 1) \(\frac{d^2y}{dx^2}+x\frac{dy}{dx}=0\)

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Given,

y = log [x + \(\sqrt{x^2+1}\)],

Differentiating with respect to x, we get

Differentiating again with respect to x, we get

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