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微分方程 英文PDF|Epub|txt|kindle电子书版本网盘下载

微分方程 英文
  • Richard Bronson 著
  • 出版社： 北京：高等教育出版社
  • ISBN：7040087588
  • 出版时间：2000
  • 标注页数：358页
  • 文件大小：10MB
  • 文件页数：369页
  • 主题词：

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图书目录

Chapter1 BASIC CONCEPTS1

Chapter2 CLASSIFICATIONS OF FIRST-ORDER DIFFERENTIAL EQUATIONS8

Chapter3 SEPARABLE FIRST-ORDER DIFFERENTIAL EQUATIONS14

Chapter4 EXACT FIRST-ORDER DIFFERENTIAL EQUATIONS24

Chapter5 LINEAR FIRST-ORDER DIFFERENTIAL EQUATIONS35

Chapter6 APPLICATIONS OF FIRST-ORDER DIFFERENTIAL EQUATIONS43

Chapter7 LINEAR DIFFERENTIAL EQUATIONS:THEORY OF SOLUTIONS67

Chapter8 SECOND-ORDER LINEAR HOMOGENEOUS DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS77

Chapter9 nTH-ORDER LINEAR HOMOGENEOUS DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS83

Chapter10 THE METHOD OF UNDETERMINED COEFFICIENTS88

Chapter11 VARIATION OF PARAMETERS97

Chapter12 INITIAL-VALUE PROBLEMS104

Chapter13 APPLICATIONS OF SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS108

Chapter14 THE LAPLACE TRANSFORM125

Chapter15 INVERSE LAPLACE TRANSFORMS138

Chapter16 CONVOLUTIONS AND THE UNIT STEP FUNCTION146

Chapter17 SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS BY LAPLACE TRANSFORMS154

Chapter18 SOLUTIONS OF LINEAR SYSTEMS BY LAPLACE TRANSFORMS161

Chapter19 MATRICES166

Chapter20 eA?175

Chapter21 REDUCTION OF LINEAR DIFFERENTIAL EQUATIONS TO A FIRST-ORDER SYSTEM183

Chapter22 SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS BY MATRIX METHODS191

Chapter23 LINEAR DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS199

Chapter24 REGULAR SINGULAR POINTS AND THE METHOD OF FRONBNIUS213

Chapter25 GAMMA AND BESSEL FUNCTIONS228

Chapter26 GRAPHICAL METHODS FOR SOLVING FIRST-ORDER DIFFERENTIAL EQUATIONS236

Chapter27 NUMERICAL METHODS FOR SOLVING FIRST-ORDER DIFFERENTIAL EQUATLONS DIFFERENTIAL EQUATIONS254

Chapter28 NUMERICAL METHODS FOR SYSTEMS272

Chapter29 SECOND-ORDER BOUNDARY-VALUE PROBLEME288

Chapter30 EIGENFUNCTION EXPANSIONS298

Appendix A LAPLACE TRANSFORMS305

ANSWERS TO SUPPLEMENTARY PROBLEMS311

INDEX355

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