One of the biggest problems of modern mathematics is, to a large extent, its isolation from the world around it. Extensive use of linear difference equations can make a great contribution to solving this problem. In the language of these equations, the problems of financial mathematics are beautifully presented. And as can be understood from the study of difference equations, this is by no means their only advantage. In particular, there is a direct connection between the theory of linear difference equations and the theory of linear ordinary differential equations. Therefore, we are convinced of the need to study these equations in . . . as many mathematical, engineering, economics and other courses as possible. In this paper, based on the old peasant-devil problem, we consider elementary examples of the use of linear difference equations xn acyrillickhcyrillicpcyrillic-1 scyrillic. Examples from physics, demography, and biology are also given. We hope that this paper will help a large number of researchers become familiar with linear difference equations
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