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Theory of Differential Equations, Vol. 3 (Classic Reprint): Part II. Ordinary Equations, Not Linear: Part II. Ordinary Equations, Not Linear (Classic Reprint) - Softcover
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Excerpt from Theory of Differential Equations, Vol. 3: Part II. Ordinary Equations, Not Linear
Complete integral of a special system of two equations in a canonical reduced form: with inferences sug gested as to the complete integral of a general system of two equations.
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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Excerpt from Theory of Differential Equations, Vol. 3: Part II. Ordinary Equations, Not Linear
The importance of this equation does not lie mainly in the comparative simplicity of the forms of differential equations which are suggested as possible equivalents of the original system, but is rather constituted by an invariantive property which it possesses, viz. Whatever be the intermediate linear transformations effected upon the variables x, the roots 7t of the determinantal equation are entirely independent of those intermediate transformations. The formal proof of this property is practically identical with the formal proof of the invariantive character of the fundamental equation appertaining to a singularity of an ordinary linear equation of order n; it is as follows.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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- VerlagForgotten Books
- Erscheinungsdatum2018
- ISBN 10 1334018235
- ISBN 13 9781334018237
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten405
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Theory of Differential Equations, Vol. 3: Part II. Ordinary Equations
Print-on-DemandAnbieter: Forgotten Books, London, Vereinigtes Königreich
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Paperback. Zustand: New. Print on Demand. This book delves into the theoretical framework surrounding differential equations, particularly those equations that are nonlinear and of the first order. The author employs a systematic approach, exploring concepts from their origin, elucidating their historical evolution, and examining the analytical tools utilized in their study. The book's primary focus is the investigation of the behavior of integrals associated with differential equations in the vicinity of singular points and singularities. The author introduces essential background material, including the existence and uniqueness of integrals and the reduction of systems to canonical forms. The exploration then extends to more complex scenarios involving accidental singularities and essential singularities, providing a comprehensive analysis of the integral behavior in each case. The book concludes with a detailed examination of the reduced forms of systems of equations involving two dependent variables, offering a thorough understanding of the construction and characteristics of these forms. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781334018237_0
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Theory of Differential Equations, Vol 3 Part II Ordinary Equations, Not Linear Classic Reprint
Anbieter: PBShop.store UK, Fairford, GLOS, Vereinigtes Königreich
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781334018237
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Theory of Differential Equations, Vol. 3: Part II. Ordinary Equations, Not Linear (Classic Reprint)
Print-on-DemandAnbieter: Revaluation Books, Exeter, Vereinigtes Königreich
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Paperback. Zustand: Brand New. 406 pages. 9.02x5.98x0.83 inches. This item is printed on demand. Bestandsnummer des Verkäufers zk1334018235
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