II. Invariants, covariants, and quotient derivatives associated with linear differential equations | Zendy

Andrew Russell Forsyth | Zendy

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II. Invariants, covariants, and quotient derivatives associated with linear differential equations

Author(s) -

Andrew Russell Forsyth

Publication year - 1888

Publication title -

proceedings of the royal society of london

Language(s) - English

Resource type - Journals

eISSN - 2053-9126

pISSN - 0370-1662

DOI - 10.1098/rspl.1887.0138

Subject(s) - quotient , mathematics , linearity , character (mathematics) , transformation (genetics) , ordinary differential equation , pure mathematics , variable (mathematics) , relation (database) , differential equation , order (exchange) , linear differential equation , mathematical analysis , algebra over a field , computer science , physics , geometry , chemistry , biochemistry , finance , quantum mechanics , database , economics , gene

The present memoir deals with the covariantive forms associated with the general ordinary linear differential equation; it is strictly limited to the consideration of those forms, without any discussion of their critical character. The most general transformation, to which such equation can be subjected without change of linearity or of order, is one whereby the dependent variabley is transformed tou by a relationy =uf(x) .

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