y'(x)=\frac{\frac{24}{5} x^{7/2} y(x)-\frac{24 x^{13/2}}{25}+\frac{8 x^{7/2}}{5}-8 x^{3/2}-\frac{8 x^9}{125}+\frac{12}{25} x^6 y(x)+\frac{4 x^6}{25}-\frac{24 x^4}{5}-\frac{6}{5} x^3 y(x)^2-\frac{4}{5} x^3 y(x)+\frac{6 x^3}{5}+12 x y(x)-6 \sqrt{x} y(x)^2-4 \sqrt{x} y(x)+y(x)^3+y(x)^2+4 x+\sqrt{x}+1}{x}