y'(x)=\frac{x^6 y(x)^3+x^6 y(x)^2+x^6+\frac{x^5}{2}+\frac{3}{4} x^4 y(x)^2+\frac{1}{2} x^4 y(x)+\frac{3}{16} x^2 y(x)+\frac{x^2}{16}+\frac{1}{64}}{x^8}