Elementary Differential Equations and Boundary Value Problems by Boyce

Description: About this productProduct InformationWritten from the perspective of the applied mathematician, the latest edition of this bestselling book focuses on the theory and practical applications of Differential Equations to engineering and the sciences. Emphasis is placed on the methods of solution, analysis, and approximation.Product IdentifiersPublisherWiley & Sons, Incorporated, JohnISBN-100470383348ISBN-139780470383346eBay Product ID (ePID)65981183Product Key FeaturesAuthorRichard C. Diprima, William E. BoycePublication NameElementary Differential Equations and Boundary Value ProblemsFormatHardcoverLanguageEnglishPublication Year2008TypeTextbookNumber of Pages816 PagesDimensionsItem Length9.9inItem Height1.3inItem Width8.3inItem Weight0 OzAdditional Product FeaturesLc Classification NumberQa371Edition Number9Table of ContentPreface Chapter 1 Introduction 1 1.1 Some Basic Mathematical Models; Direction Fields 1.2 Solutions of Some Differential Equations 1.3 Classification of Differential Equations 1.4 Historical RemarksChapter 2 First Order Differential Equations 2.1 Linear Equations; Method of Integrating Factors 2.2 Separable Equations 2.3 Modeling with First Order Equations 2.4 Differences Between Linear and Nonlinear Equations 2.5 Autonomous Equations and Population Dynamics 2.6 Exact Equations and Integrating Factors 2.7 Numerical Approximations: Euler's Method 2.8 The Existence and Uniqueness Theorem 2.9 First Order Difference Equations Chapter 3 SecondOrder Linear Equations 135 3.1 Homogeneous Equations with Constant Coef'cients 3.2 Fundamental Solutions of Linear Homogeneous Equations; The Wronskian 3.3 Complex Roots of the Characteristic Equation 3.4 Repeated Roots; Reduction of Order 3.5 Nonhomogeneous Equations; Method of Undetermined Coefficients 3.6 Variation of Parameters 3.7 Mechanical and Electrical Vibrations 3.8 Forced VibrationsChapter 4 Higher Order Linear Equations 4.1 General Theory of nth Order Linear Equations 4.2 Homogeneous Equations with Constant Coef'cients 4.3 The Method of Undetermined Coef'cients 4.4 The Method of Variation of ParametersChapter 5 Series Solutions of Second Order Linear Equations 5.1 Review of Power Series 5.2 Series Solutions Near an Ordinary Point, Part I 5.3 Series Solutions Near an Ordinary Point, Part II 5.4 Euler Equations; Regular Singular Points 5.5 Series Solutions Near a Regular Singular Point, Part I 5.6 Series Solutions Near a Regular Singular Point, Part II 5.7 Bessel's Equation Chapter 6 The Laplace Transform 6.1 Definition of the Laplace Transform 6.2 Solution of Initial Value Problems 6.3 Step Functions 6.4 Differential Equations with Discontinuous Forcing Functions 6.5 Impulse Functions 6.6 The Convolution Integral Chapter 7 Systems of First Order Linear Equations 7.1 Introduction 7.2 Review of Matrices 7.3 Systems of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors 7.4 Basic Theory of Systems of First Order Linear Equations 7.5 Homogeneous Linear Systems with Constant Coefficients 7.6 Complex Eigenvalues 7.7 Fundamental Matrices 7.8 Repeated Eigenvalues 7.9 Nonhomogeneous Linear Systems Chapter 8 Numerical Methods 8.1 The Euler or Tangent Line Method 8.2 Improvements on the Euler Method 8.3 The Runge-KuttaMethod 8.4 Multistep Methods 8.5 More on Errors; Stability

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