I would like to plot in Matlab the following implicit equation:
$$\int\frac{\mathrm{d}y}{W(-e^{-y^2/2-1})+1}=x,$$
where $W(\cdot)$ is the Lambert $W$ function.
I am trying to plot it symbolically with ezplot but Matlab's lambertw function does not allow symbolic inputs. How would you plot it?
Thanks!