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