If , then prove that…

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

If y=xxy = x^x , then prove that d2ydx2−1y(dydx)2−yx=0\frac{d^2 y}{dx^2} - \frac{1}{y} \left( \frac{dy}{dx} \right)^2 - \frac{y}{x} = 0 .

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