If \( y=x \cos x \), prove that \( x^{2} \frac{d^{2} y}{d x^{2}}-2 x \frac{d y}{d x}+\left(2+x^{...

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