On integration of the first order differential equations in a finite termsстатья
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Дата последнего поиска статьи во внешних источниках: 13 июня 2017 г.
Аннотация:There are several approaches to the description of the concept called briefly as integration of the first order differential equations in a finite terms or symbolical integration. In the report three of them are considered: 1.) finding of a rational integral (Beaune or Poincaré problem), 2.) integration by quadratures and 3.) integration when the general solution of given differential equation is an algebraical function of a constant (Painlevé problem). Their realizations in Sage are presented.