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If y=sin(logx) , prove that x^2(d^2y)/(d...

If `y=sin(logx)` , prove that `x^2(d^2y)/(dx^2)+x(dy)/(dx)+y=0` .

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`y=sin (log x)`
` frac{dy}{dx}=frac{cos (log x)}{x}`
` frac{d^{2} y}{d x^{2}}=frac{-sin (log x)-cos (log x)}{x^{2}}`
` ...
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