Excerpt from Ueber die Integration Vermittelst Expliciter Funktionen Derjenigen Homogenen Linearen Differentialgleichung Mter Ordnung, Deren Integrale Nur für Unendlich Grosse Werthe der Variabelen Unstetig Werden: Inaugural-Dissertation zur Erlangung der Doctorwürde der Hohen Philosophischen Facultät der Ruprecht-Karls-Universität zu Heidelberg
Ff9m)(w; A1 a r1f(x) 8) WO die Grossen A, 131 R1 bestimmte Constanten bedeuten.
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Paperback. Zustand: New. Print on Demand. This book explores the integration of homogeneous linear differential equations of any order that have integrals that only become discontinuous for infinitely large variables. The author establishes the necessary conditions for solving such equations using explicit functions. They delve into the nature of these functions, demonstrating that they must have a specific form involving algebraic and transcendental functions. The author also examines the properties of the algebraic functions that appear in these integrals, including their degree and the possible values of their coefficients. The book concludes by summarizing the conditions under which the differential equation can be solved using explicit functions and the form that the solutions take. These insights enhance our understanding of the behavior of solutions to differential equations, particularly in cases where explicit solutions are possible. 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 9780484983242_0
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9780484983242
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