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If y = log\([\sqrt{x^2+a^2}],\) show that (x2 + a2)\(\frac{d^2y}{dx^2}\) + \(x\frac{dy}{dx}=0\).

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Given,

y = log\([\sqrt{x^2+a^2}]\)

Differentiating again with respect to x, we get

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