Differential Equations with YouTube Examples

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1、DifferentialEquationswithYouTubeExamplesJeffreyR.ChasnovDownloadfreebooksatJeffreyR.ChasnovDifferentialEquationswithYouTubeExamples2DownloadfreeeBooksatbookboon.comDifferentialEquationswithYouTubeExamples1stedition©2014JeffreyR.Chasnov&bookboon.comISBN978-87-403-065

2、6-93DownloadfreeeBooksatbookboon.comDifferentialEquationswithYouTubeExamplesContentsContentsPreface71First-orderdifferentialequations81.1Separableequations81.2Linearequations91.3Exactequations101.4Bernoulliequations111.5First-orderhomogeneousequations131.6Riccatiequ

3、ations142Second-orderdifferentialequationswithconstantcoefficients360°162.1Homogeneousequations162.2Inhomogeneousequationsthinking.173TheLaplacetransform214Powerseriessolutions23360°thinking.360°thinking.Discoverthetruthatwww.deloitte.ca/careersDiscoverthetruthatwww

4、.deloitte.ca/careers©Deloitte&ToucheLLPandaffiliatedentities.Discoverthetruthatwww.deloitte.ca/careers©Deloitte&ToucheLLPandaffiliatedentities.©Deloitte&ToucheLLPandaffiliatedentities.Discoverthetruthatwww.deloitte.ca/careers4ClickontheadtoreadmoreDownloadfreeeBooks

5、atbookboon.com©Deloitte&ToucheLLPandaffiliatedentities.DifferentialEquationswithYouTubeExamplesContents5Cauchy-Eulerequations256Systemsoflinearequations277Nonlineardifferentialequations327.1Fixedpointsandlinearstabilityanalysis327.2Bifurcationtheory338Fourierseries3

6、6AppendixA:TableofLaplacetransforms37AppendixB:AnswerstoAdditionalPractice381.1Separableequations381.2Linearequations391.3Exactequations391.4Bernoulliequations401.5First-orderhomogeneousequations411.6Riccatiequations432.1Homogeneousequations43IncreaseyourimpactwithM

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