examples of applications of the power series method.pdf

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1、Examples of Applications of The Power Series... Series Method By Solut Leif Mejlbro Download free books at LeifMejlbroExamplesofApplicationsofThePowerSeriesMethodBySolutionofDifferentialEquationswithPolynomialCoefficientsCalculus3c-4ExamplesofApplicationsofThePowerSeriesMethodBySolutionofDifferentia

2、lEquationswithPolynomialCoefficients–Calculus3c-4©2008LeifMejlbro&VentusPublishingApSISBN978-87-7681-379-6Calculus3c-4ContentsContentsIntroduction51.Solutionofdierentialequationsbythepowerseriesmethod62.Largerexamplesofthepowerseriesmethod483.Aneigenvalueproblemsolvedbythepowerseriesmethod89Fast-tra

3、ckyourcareerMastersinManagementStandoutfromthecrowdDesignedforgraduateswithlessthanoneyearoffull-timepostgraduateworkexperience,LondonBusinessSchool’sMastersinManagementwillexpandyourPleaseclicktheadvertthinkingandprovideyouwiththefoundationsforasuccessfulcareerinbusiness.Theprogrammeisdevelopedinc

4、onsultationwithrecruiterstoprovideyouwiththekeyskillsthattopemployersdemand.Through11monthsoffull-timestudy,youwillgainthebusinessknowledgeandcapabilitiestoincreaseyourcareerchoicesandstandoutfromthecrowd.LondonBusinessSchoolApplicationsarenowopenforentryinSeptember2011.Regent’sParkLondonNW14SAUnit

5、edKingdomFormoreinformationvisitwww.london.edu/mim/Tel+44(0)2070007573Emailmim@london.eduemailmim@london.eduorcall+44(0)2070007573www.london.edu/mim/4Calculus3c-4IntroductionIntroductionHerefollowsacollectionofexamplesofhowonecansolvelineardifferentialequationswithpolynomialcoefficientsbythemethodofpo

6、werseries.ThereaderisalsoreferredtoCalculus3b,toCalculus3c-3,andtoComplexFunctions.ItshouldnolongerbenecessaryrigourouslytousetheADIC-model,describedinCalculus1candCalculus2c,becausewenowassumethatthereadercandothishimself.EvenifIhavetriedtobecarefulaboutthistext,itisimpossibletoavoiderrors,inparti

7、cularinthefirstedition.Itismyhopethatthereaderwillshowsomeunderstandingofmysituation.LeifMejlbro16thMay20085Calculus3c-4Solutionofdifferentialequationsbythepowerseriesmethod1Solutionofdifferentialequationsbyt