If \(\rm x \frac{d y}{d x}=y(\log y-\log x+1)\) then the solution of the equation is

1
\(\rm \log \frac{x}{y}=c y\)
2
\(\rm\log \frac{y}{x}=c y\)
3
\(\rm \log \frac{x}{y}=c x\)
4
none of these

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