Solution of the differential equation $\large\frac{dy}{dx}+\frac{y}{x}$$=\sin x$ is:

Question

$(A)\;x(y+\cos x)=\sin x+c \\ (B)\;x(y-\cos x)=\sin x+c \\ (C)\;xy\cos x=\sin x+c \\ (D)\;x(y+\cos x)=\cos x+c$