General solution of differential equation ; $\large\frac{ydy}{xdx}+\frac{2(x^2+y^2)-1}{(x^2+y^2+1)}=0$

Question

$(a)\;2x^2+2y^2+3 \log (x^2+y^2)=c \\ (b)\;x^2+2y^2+3 \log (x^2+y^2-2)=0 \\ (c)\;2x^2+2y^2+3 \log (x^2+y^2-2)=0 \\ (d)\;2x^2+y^2+3 \log (x^2+y^2-2)=c $