If y=sin(logx),then prove that dx2x2d2y+xdxdy+y=0

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If {y}={sin}{({{{x}}})},then prove that {{{x}^{{2}}{d}^{{2}}{y

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If $y = sin (lo g x),$ then prove that $\frac{x ^{2} d ^{2} y}{d x ^{2}} + x \frac{d y}{d x} + y = 0$

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Olivia Discussed

y = sin (lo g x),

then prove that

\frac{x ^{2} d ^{2} y}{d x ^{2}} + x \frac{d y}{d x} + y = 0

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y = sin (lo g x),

then prove that

\frac{x ^{2} d ^{2} y}{d x ^{2}} + x \frac{d y}{d x} + y = 0