Many Schr\"{o}dinger equations are exactly solvable, some of them
due to their reducibility, via a suitable change of variables, to
the Gauss' hypergeometric differential equation. This paper offers
just another rediscovery of one of concrete examples. Alas, this
particular exercise recently inspired an unbelievably long series of
almost identical ``publish or perish" rediscoveries. Even among them
the present text belongs to the weaker ones because its authors are,
obviously, not aware of the fact that their ``exact" solution (cf.
title and abstract) is in fact merely approximate. Plus, last but
not least, the underlying ``$\ell \neq 0$ modification method" is by
far not new - cf., e.g., its extensive presentation in ref. [16]
published as early as in 1974.

MR2534061 Pahlavani, M. R.; Sadeghi, J.; Ghezelbash, M. Solutions of
the central Woods-Saxon potential in $l\neq 0$ case using
mathematical modification method. Appl. Sci. 11 (2009), 106--113.
81Q05 (81V35 83A05)