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1、May2,201314:6BC:8831-ProbabilityandStatisticalTheoryPST˙wsThispageintentionallyleftblankWorldScientificPublishedbyWorldScientificPublishingCo.Pte.Ltd.5TohTuckLink,Singapore596224USAoffice:27WarrenStreet,Suite401-402,Hackensack,NJ07601UKoffice:57SheltonStreet,CoventGarden,LondonWC
2、2H9HEBritishLibraryCataloguing-in-PublicationDataAcataloguerecordforthisbookisavailablefromtheBritishLibrary.LECTURES,PROBLEMSANDSOLUTIONSFORORDINARYDIFFERENTIALEQUATIONSCopyright©2015byWorldScientificPublishingCo.Pte.Ltd.Allrightsreserved.Thisbook,orpartsthereof,maynotbereproduc
3、edinanyformorbyanymeans,electronicormechanical,includingphotocopying,recordingoranyinformationstorageandretrievalsystemnowknownortobeinvented,withoutwrittenpermissionfromthepublisher.Forphotocopyingofmaterialinthisvolume,pleasepayacopyingfeethroughtheCopyrightClearanceCenter,Inc.
4、,222RosewoodDrive,Danvers,MA01923,USA.Inthiscasepermissiontophotocopyisnotrequiredfromthepublisher.ISBN978-981-4632-24-9ISBN978-981-4632-25-6(pbk)PrintedinSingaporeZhangJi-Lectures,problemsandsolutions.indd112/8/20145:13:32PMPrefaceThisbook,Lectures,ProblemsandSolutionsforOrdinar
5、yDifferentialEquations,resultsfrommorethan20revisionsoflectures,exams,andhomeworkassignmentstoapproximately5,000studentsintheCollegeofEngineeringandAppliedSciencesatStonyBrookUniversityoverthepast30semesters.Thebookcontainsnotesfortwenty-five80-minutelecturesandapproximately1,000
6、problemswithsolutions.CreatinganotherODEsbookisprobablymoreunnecessarythanreinventingthewheel.Yet,Iconstructedthismanuscriptdifferentlybyfocusingongatheringandinventingexamplesfromphysicalandlifesciences,engineering,economics,andotherreal-worldapplications.Theseexamples,partlyada
7、ptedfromwell-knowntextbooksandpartlyfreshlycomposed,focusonillustratingtheapplicationsofordinarydifferentialequations.Theexamplesaremuchstrongerstimulitostudentsforlearningtoprovethetheoremswhilemasteringtheartofapplyingthem.Whilepreparingthismanuscript,Ibenefitimmenselyfrommanyp
8、eopleincludingundergraduatestudentswhoto
