The familiar technique of solution in series converts a linear differential equation into a difference equation. In text‐book examples, the latter is usually a two‐term recurrence relation whose solution presents no difficulty. In general, the extraction of the appropriate solution of the difference equation is a substantial computational problem, and the difference equation is not necessarily simpler to solve than the differential equation. We give an example where the technique is used in reverse, to solve a difference equation by transforming it into a differential equation.