Using Sagemath's programing language in a jupyter lab notebook $,$ solve :

Consider the equation $ln(y)=x{e}^y-2.$ Use implicit differentiation to compute $\frac{d^{2}y}{d{x}^2}.$ Your solutions should be in terms of $y$ and $x($that is$,d\frac{y}{d}x$ should not

appear in your final solution$).$