[en] In this paper I will suggest algorithm of the genesis of the analytical solution for unidimensional linear integral model of the slowing down of neutrons in compound of N moderators when absorption vanishes and when function of the cross section is constant. In these cases, by application of the transcendental method, very effective approximation has been generated. The suggested model, classical researches of B. Devison, G. Placzek et. al. improves it. In the paper, new elementary solution for one class of transcendental equation is obtained. In this way the general idea on the unity in the structure of knowledge is confirmed. (author)