Find the particular solution satisfying the given condition $\large\frac{dy}{dx}-\large\frac{y}{x}$$+cosec\bigg(\large\frac{y}{x}\bigg)$$=0;\;y=\;0\;when\;x=\;1$

Question

$\begin{array}{1 1}(A)\;\cos(\large\frac{y}{x}) = \log x +e \\(B)\;\cos(\large\frac{y}{2x}) = \log x +e \\(C)\;\cos(\large\frac{2y}{x})= \log x +e \\ (D)\sin(\large\frac{y}{x}) = \log x +e\end{array} $