If \( y=\operatorname{cosec}^{-1} x, x>1 \), then show that \[x\left(x^{2}-1\right) \frac{d^{...

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If \( y=\operatorname{cosec}^{-1} x, x>1 \), then show that
\[x\left(x^{2}-1\right) \frac{d^{2} y}{d x^{2}}+\left(2 x^{2}-1\right) \frac{d y}{d x}=0\]
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