If \( y=\left[\log \left(x+\sqrt{1+x^{2}}\right)\right]^{2} \), show that :
\[
\left(1+x^{2}\rig...
If \( y=\left[\log \left(x+\sqrt{1+x^{2}}\right)\right]^{2} \), show that :
\[
\left(1+x^{2}\right) \frac{d^{2} y}{d x^{2}}+x \frac{d y}{d x}=2
\]
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