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If y = xx, then prove that \(\frac{d^2y}{dx^2}-\)\(\frac{1}{y}\)\((\frac{dy}{dx})^2\) - \(\frac{y}{x}=0\)

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y = xx

Taking logarithm on both sides, we get

log y = x. log x

Differentiating both sides, we get

Again differentiating both sides, we get

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