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Analytic Solution of Non‐Autonomous Linear ODE
Author(s) -
Radnef Sorin
Publication year - 2006
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200610306
Subject(s) - ode , power series , mathematics , series (stratigraphy) , state (computer science) , order (exchange) , mathematical analysis , algorithm , geology , paleontology , finance , economics
This paper state an analytic solution for non‐autonomous linear ODE of order n, expressed as a power series with analytic coefficients, determined by recurrence formulae. The result is compared with that for n = 1 and is applied for a particular ODE, of order n = 2, which has an explicit solution. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)