Analytic solution of algebraic equations

In a recent paper (Cassell, J.S., Williams, M.M.R., 2000. Analytic solutions of algebraic equations associated with the source-sink method of reactor lattices. Ann. Nuclear Energy 27, 901), a method was developed for solving explicitly the algebraic equations associated with the source-sink method of reactor lattices. The present note extends the model to the case of a continuous form of the slowing down kernel and applies it to the Milne problem.