1.

If \[y=x\log \left( \frac{x}{a+bx} \right)\], then \[{{x}^{3}}\frac{{{d}^{2}}y}{d{{x}^{2}}}=\] [WB JEE 1991; Roorkee 1976]

A.            \[x\frac{dy}{dx}-y\]
B.            \[{{\left( x\frac{dy}{dx}-y \right)}^{2}}\]
C.            \[y\frac{dy}{dx}-x\]
D.            \[{{\left( y\frac{dy}{dx}-x \right)}^{2}}\]
Answer» C.            \[y\frac{dy}{dx}-x\]


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