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1、SIXTHEDITIONFundamentalsofDifferentialEquationsandBoundaryValueProblemsR.KentNagleEdwardB.SaffVanderbiltUniversityArthurDavidSniderUniversityofSouthFloridaPublisherGregTobinEditorinChiefDeirdreLynchSeniorAcquisitionsEditorWilliamHoffmanSponsoringEditorCarolineCelan
2、oSeniorContentEditorElizabethBernardiEditorialAssistantBrandonRawnsleySeniorManagingEditorKarenWernholmProductionProjectManagerBethHoustonExecutiveMarketingManagerJeffWeidenaarMediaProducerChristinaMaestriManufacturingBuyerCarolMelvilleSeniorAuthorSupport/Technolog
3、ySpecialistJoeVetereCoverDesignerHeatherScottCoverIllustration©HenrikSorensen/GettyStoneCollectionProductionCoordination,TextDesign,Composition,andIllustrationsNesbittGraphics,Inc.LibraryofCongressCataloging-in-PublicationDataNagle,R.Kent.Fundamentalsofdifferential
4、equations.--8thed./R.KentNagle,EdwardB.Saff,DavidSnider.p.cm.Includesindex.ISBN-13:978-0-321-74773-0ISBN-10:0-321-74773-91.Differentialequations--Textbooks.I.Saff,E.B.,1944-II.Snider,ArthurDavid,1940-III.Title.QA371.N242012515'.35--dc222011002688Copyright©2012,2008
5、,2004PearsonEducation,Inc.Allrightsreserved.Nopartofthispublicationmaybereproduced,storedinaretrievalsystem,ortransmitted,inanyformorbyanymeans,electronic,mechanical,photocopying,recording,orotherwise,withoutthepriorwrittenpermissionofthepublisher.PrintedintheUnite
6、dStatesofAmerica.Forinformationonobtainingpermissionforuseofmaterialinthiswork,pleasesubmitawrittenrequesttoPearsonEducation,Inc.,RightsandContractsDepartment,501BoylstonStreet,Suite900,Boston,MA02116.Fax(617)6713447.12345678910EB1514131211ISBN-13:978-0-321-74773-0
7、www.pearsonhighered.comISBN-10:0-321-74773-9DedicatedtoR.KentNagleHehaslefthisimprintnotonlyonthesepagesbutuponallwhoknewhim.Hewasthatraremathematicianwhocouldeffectivelycommunicateatalllevels,impartinghisloveforthesubjectwiththesameeasetoundergraduates,graduates,p
8、recollegestu-dents,publicschoolteachers,andhiscolleaguesattheUniversityofSouthFlorida.Kentwasatpeaceinlife—apeacethatemanatedfromthedepthofhisund
