y'(x)=\frac{\alpha ^3 y(x)^3+\alpha ^3 y(x)^2+\alpha ^3+3 \alpha ^2 \beta  x y(x)^2+2 \alpha ^2 \beta  x y(x)+3 \alpha  \beta ^2 x^2 y(x)+\alpha  \beta ^2 x^2+\beta ^3 x^3}{\alpha ^3}