Elementary Differential Equations with Boundary Value Problems

Pearson New International Edition

Häftad, Engelska, 2013

AvWerner Kohler,Lee Johnson

1 379 kr

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Elementary Differential Equations with Boundary Value Problems integrates the underlying theory, the solution procedures, and the numerical/computational aspects of differential equations in a seamless way. For example, whenever a new type of problem is introduced (such as first-order equations, higher-order equations, systems of differential equations, etc.) the text begins with the basic existence-uniqueness theory. This provides the student the necessary framework to understand and solve differential equations. Theory is presented as simply as possible with an emphasis on how to use it. The Table of Contents is comprehensive and allows flexibility for instructors.

Produktinformation

Utgivningsdatum2013-11-08
Mått220 x 277 x 30 mm
Vikt1 520 g
FormatHäftad
SpråkEngelska
Antal sidor728
Upplaga2
FörlagPearson Education
ISBN9781292039312

Tillhör följande kategorier

1: INTRODUCTION TO DIFFERENTIAL EQUATIONS1.1 Examples of Differential Equations1.2 Direction Fields 2: FIRST ORDER DIFFERENTIAL EQUATIONS2.1 Introduction 2.2 First Order Linear Differential Equations 2.3 Introduction to Mathematical Models 2.4 Population Dynamics and Radioactive Decay2.5 First Order Nonlinear Differential Equations2.6 Separable First Order Equations2.7 Exact Differential Equations2.8 The Logistic Population Model2.9 Applications to Mechanics2.10 Euler’s Method2.11 Review Exercises 3: SECOND AND HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS3.1 Introduction 3.2 The General Solution of Homogeneous Equations 3.3 Constant Coefficient Homogeneous Equations 3.4 Real Repeated Roots; Reduction of Order 3.5 Complex Roots 3.6 Unforced Mechanical Vibrations 3.7 The General Solution of a Linear Nonhomogeneous Equation 3.8 The Method of Undetermined Coefficients 3.9 The Method of Variation of Parameters 3.10 Forced Mechanical Vibrations, Electrical Networks, and Resonance3.11 Higher Order Linear Homogeneous Differential Equations3.12 Higher Order Homogeneous Constant Coefficient Differential Equations3.13 Higher Order Linear Nonhomogeneous Differential Equations3.14 Review Exercises 4: FIRST ORDER LINEAR SYSTEMS4.1 Introduction 4.2 Existence and Uniqueness 4.3 Homogeneous Linear Systems 4.4 Constant Coefficient Homogeneous Systems and the Eigenvalue Problem4.5 Real Eigenvalues and the Phase Plane 4.6 Complex Eigenvalues 4.7 Repeated Eigenvalues 4.8 Nonhomogeneous Linear Systems 4.9 Numerical Methods for Systems of Differential Equations 4.10 The Exponential Matrix and Diagonalization 4.11 Review Exercises 5: LAPLACE TRANSFORMS5.1 Introduction 5.2 Laplace Transform Pairs 5.3 The Method of Partial Fractions &nbs