03386nam 22006495 450 991030025120332120200704012845.03-319-25735-810.1007/978-3-319-25735-8(CKB)3710000000580383(SSID)ssj0001616687(PQKBManifestationID)16347684(PQKBTitleCode)TC0001616687(PQKBWorkID)14921492(PQKB)10420290(DE-He213)978-3-319-25735-8(MiAaPQ)EBC6315176(MiAaPQ)EBC5588164(Au-PeEL)EBL5588164(OCoLC)1066183797(PPN)191701564(EXLCZ)99371000000058038320160111d2015 u| 0engurnn|008mamaatxtccrDifferential Equations: Methods and Applications /by Belkacem Said-Houari1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (X, 212 p. 30 illus.) Compact Textbooks in Mathematics,2296-4568Bibliographic Level Mode of Issuance: Monograph3-319-25734-X Preface -- 1. Modelling and definitions -- 2. First-order differential equations -- 3. Linear second-order equations -- 4. Laplace Transforms -- 5. Power series solution -- 6. Systems of differential equations -- 7. Qualitative theory -- Index.This book presents a variety of techniques for solving ordinary differential equations analytically and features a wealth of examples. Focusing on the modeling of real-world phenomena, it begins with a basic introduction to differential equations, followed by linear and nonlinear first order equations and a detailed treatment of the second order linear equations. After presenting solution methods for the Laplace transform and power series, it lastly presents systems of equations and offers an introduction to the stability theory. To help readers practice the theory covered, two types of exercises are provided: those that illustrate the general theory, and others designed to expand on the text material. Detailed solutions to all the exercises are included. The book is excellently suited for use as a textbook for an undergraduate class (of all disciplines) in ordinary differential equations. .Compact Textbooks in Mathematics,2296-4568Difference equationsFunctional equationsDifferential equationsDifference and Functional Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12031Ordinary Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12147Difference equations.Functional equations.Differential equations.Difference and Functional Equations.Ordinary Differential Equations.515.35Said-Houari Belkacemauthttp://id.loc.gov/vocabulary/relators/aut755687MiAaPQMiAaPQMiAaPQBOOK9910300251203321Differential equations: methods and applications2440593UNINA