Solve:$y+\large\frac{d}{dx}$$(xy)=x(\sin x+log x)$

Question

$\begin{array}{1 1}(A)\;\cos x -\large\frac{2 \sin x}{x}+\frac{2 \cos x}{x^2}+\frac{x \log x }{3}-\frac{x}{9}+\frac{c}{x^2} \\(B)\;-\cos x +\large\frac{2 \sin x}{x}+\frac{2 \cos x}{x^2}+\frac{x \log x }{3}-\frac{x}{9}+\frac{c}{x^2} \\(C)\;\cos x +\large\frac{2 \sin x}{x}-\frac{2 \cos x}{x^2}-\frac{x \log x }{3}-\frac{x}{9}+\frac{c}{x^2} \\ (D)\;=-\cos x +\large\frac{2 \sin x}{x}+\frac{2 \cos x}{x^2}-\frac{x \log x }{3}-\frac{x}{9}-\frac{c}{x^2} \end{array} $