The solution of the differential equation $\large\frac{dy}{dx}+\frac{2xy}{(1+x^2)}=\frac{1}{(1+x^2)^2}$ is

Question

\[(A)\;y(1+x^2)=c+\tan^{-1}x \quad (B)\;\frac{y}{1+x^2}=c+\tan^{-1}x \quad(C)\;ylog(1+x^2)=c+\tan^{-1}x \quad (D)\;y(1+x^2)=c+\sin^{-1}x\]