Application of differential equations to solving applied tasks

Abstract

The article deals with the solution of applied problems in medicine and biology through differential equations. In the scientific literature there is no detailed description of the stages of creating models and templates that would help to make differential equations for various applications. Therefore, the article defines the main stages of creating models, considers the algorithm of compiling the differential equation on the condition of the problem, considers the use of differential equations for solving problems from different branches of knowledge, methods of modeling problems with the help of differential equations; Aiming at the process of solving physical and biological problems with the use of differential equations by means of computer presentations. The mathematical formulation of the modeling problem as a set of mathematical relations describing the behavior and characteristics of the modeling object is considered. The mathematical description of the model is based on the laws of physics, chemistry, etc., which characterize the dynamics and statics of processes in the investigated object, and is expressed in the language of any sections of mathematics.