1. The problem statement, all variables and given/known data Perform an analysis of the algebraic equation y=exp(xy) near x=1/e by substituting y=e+d(x), where d→0 as x→1/e. Solve approximately for d(x) to show that near x=1/e, y(x) has a square root singularity. 2. Relevant equations I don't think there are "relevant equations" 3. The attempt at a solution ln y = xy as x-> 1/e, ln (e+d) ~ ln e , that is, ln y ~ 1 1~x(e+d) d~(1/x)-e y=e+d y~1/x So where is "square root singularity"?