Solve: $x\large \frac{dy}{dx}$$ =y(\log y-\log x+1)$

Question

$\begin{array}{1 1} (A)\;\log \large|\frac{y}{x}|=cx \\ (B)\;\log \large|\frac{y}{x}|=c \\ (C)\;\log \large|\frac{x}{y}|=cy \\ (D)\;\log \large|\frac{x}{y}|=c\end{array}$