y'(x)=\frac{y(x)^2}{x^3-3 x^2 y(x)+x^2 \sqrt{y(x)}+3 x y(x)^2-2 x y(x)^{3/2}-y(x)^3+y(x)^{5/2}+y(x)^2+y(x)^{3/2}}