y'(x)=\frac{x \left(x^2 y(x)^3+\left(x^2+1\right)^{3/2} y(x)^2+x^2 \left(x^2+1\right)^{3/2}+\left(x^2+1\right)^{3/2}+y(x)^3\right)}{\left(x^2+1\right)^3}