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Название: Symbolic integration of exact PDEs
Автор: Wolf T.
An algorithm is described which decides if a given polynomial differential expression D of multivariate functions is exact, i.e. whether there exists a first integral P such that DXP = A for any one x of a set of n variables and to provide the integral P. A generalization is given to allow integration in the case that the exactness is prevented by terms which contain only functions of less than ri independent variables.