Beam lying flat on left hand and lifted at right.

The problem is to determine the length (el) of the beam, given that it is perfectly horizontal at the left (slope y'(0) = 0 and y(0) = 0 too) and lifted a given amount (h) at the right: y(el) = h.

Simple beam lying on ground with 0 slope and lifted at the other end. The problem is to determine the length (el) of the beam, given that it is perfectly horizontal at the left (slope y'(0) = 0 and y(0) = 0 too) and lifted a given amount (h) at the right: y(el) = h.