y'(x)=\frac{4 x^6 y(x)^3+2 x^5 y(x)+2 x^5+3 x^4 y(x)^2+\frac{x^3}{2}+\frac{3}{4} x^2 y(x)+\frac{1}{16}}{x^6 \left(4 x^2 y(x)+4 x^2+1\right)}