If , then prove that…

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

If y=xlog⁡(xa+bx)y = x \log \left( \frac{x}{a+bx} \right) , then prove that x3d2ydx2=(xdydx−y)2x^3 \frac{d^2 y}{dx^2} = \left( x \frac{dy}{dx} - y \right)^2 .

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