Equações diferenciais ordinárias de primeira ordem aplicadas na digestão de animais ruminantes.

Abstract

This work consists in making a study of the Differential Equations, applying this knowledge in the mathematical model for the digestion of ruminant animals proposed by Blaxter, Graham and Wainman. Ruminant animals are characterized by the ability to regurgitate ingested food, rechew and swallow again. First, a bibliographical study was carried out, which exposes the history and concept of Differential Equations, highlighting some mathematicians who contributed to the development, presenting the definitions, classifications, solution methods and finally, the application in digestion in ruminant animals, with graphical analysis of the solution in a particular example about the process in the digestion of ruminant animals, addressing the time of permanence of food in the digestive system.