If \( y=\log \left(x+\sqrt{x^{2}+1}\right) \), prove that \( \left(x^{2}+1\right) \frac{d^{2} y}...

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If \( y=\log \left(x+\sqrt{x^{2}+1}\right) \), prove that \( \left(x^{2}+1\right) \frac{d^{2} y}{d x^{2}}+x \frac{d y}{d x}=0 \)
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