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035   $a(DE-He213)978-3-319-25735-8
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100   $a20160111d2015      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aDifferential Equations: Methods and Applications /$fby Belkacem Said-Houari
205   $a1st ed. 2015.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015.
215   $a1 online resource (X, 212 p. 30 illus.) 
225 1 $aCompact Textbooks in Mathematics,$x2296-4568
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-319-25734-X 
327   $aPreface -- 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.
330   $aThis book presents a variety of techniques for solving ordinary differential equations analytically and features a wealth of examples. Focusing on the modeling of real-world phenomena, it begins with a basic introduction to differential equations, followed by linear and nonlinear first order equations and a detailed treatment of the second order linear equations. After presenting solution methods for the Laplace transform and power series, it lastly presents systems of equations and offers an introduction to the stability theory. To help readers practice the theory covered, two types of exercises are provided: those that illustrate the general theory, and others designed to expand on the text material. Detailed solutions to all the exercises are included. The book is excellently suited for use as a textbook for an undergraduate class (of all disciplines) in ordinary differential equations. .
410  0$aCompact Textbooks in Mathematics,$x2296-4568
606   $aDifference equations
606   $aFunctional equations
606   $aDifferential equations
606   $aDifference and Functional Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12031
606   $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147
615  0$aDifference equations.
615  0$aFunctional equations.
615  0$aDifferential equations.
615 14$aDifference and Functional Equations.
615 24$aOrdinary Differential Equations.
676   $a515.35
700   $aSaid-Houari$b Belkacem$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755687
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910300251203321
996   $aDifferential equations: methods and applications$92440593
997   $aUNINA