Fundamentals Of Differential Equations ...7th EditionR. Kent Nagle, Edward B. Saff, Arthur David Snider Publisher: PEARSONISBN: 9780134768717
Fundamentals Of Differential Equations ...
Solutions for Fundamentals Of Differential Equations And Boundary Value Problems Plus Mylab Math With Pearson Etext -- Title-specific Access Card Package (7th ... Fundamentals Of Differential Equations)
Browse All Chapters of This Textbook
Chapter 1.1 - BackgroundChapter 1.2 - Solutions And Initial Value ProblemsChapter 1.3 - Direction FieldsChapter 1.4 - The Approximation Method Of EulerChapter 1.RP - Review Problems For Chapter 1Chapter 2.2 - Separable EquationsChapter 2.3 - Linear EquationsChapter 2.4 - Exact EquationsChapter 2.5 - Special Integrating FactorsChapter 2.6 - Substitutions And Transformations
Chapter 2.RP - Review Problems For Chapter 2Chapter 3.2 - Compartmental AnalysisChapter 3.3 - Heating And Cooling Of BuildingsChapter 3.4 - Newtonian MechanicsChapter 3.5 - Electrical CircuitsChapter 3.6 - Numerical Methods: A Closer Look At Euler’s AlgorithmChapter 3.7 - Higher-order Numerical Methods: Taylor And Runge–kuttaChapter 4.1 - Introduction: The Mass-spring OscillatorChapter 4.2 - Homogeneous Linear Equations: The General SolutionChapter 4.3 - Auxiliary Equations With Complex RootsChapter 4.4 - Nonhomogeneous Equations: The Method Of Undetermined CoefficientsChapter 4.5 - The Superposition Principle And Undetermined Coefficients RevisitedChapter 4.6 - Variation Of ParametersChapter 4.7 - Variable-coefficient EquationsChapter 4.8 - Qualitative Considerations For Variable-coefficient And Nonlinear EquationsChapter 4.9 - A Closer Look At Free Mechanical VibrationsChapter 4.10 - A Closer Look At Forced Mechanical VibrationsChapter 4.RP - Review Problems For Chapter 4Chapter 5.2 - Differential Operators And The Elimination Method For SystemsChapter 5.3 - Solving Systems And Higher-order Equations NumericallyChapter 5.4 - Introduction To The Phase PlaneChapter 5.5 - Applications To Biomathematics: Epidemic And Tumor Growth ModelsChapter 5.6 - Coupled Mass-spring SystemsChapter 5.7 - Electrical SystemsChapter 5.8 - Dynamical Systems, Poincaré Maps, And ChaosChapter 5.RP - Review Problems For Chapter 5Chapter 6.1 - Basic Theory Of Linear Differential EquationsChapter 6.2 - Homogeneous Linear Equations With Constant CoefficientsChapter 6.3 - Undetermined Coefficients And The Annihilator MethodChapter 6.4 - Method Of Variation Of ParametersChapter 6.RP - Review Problems For Chapter 6Chapter 7.2 - Definition Of The Laplace TransformChapter 7.3 - Properties Of The Laplace TransformChapter 7.4 - Inverse Laplace TransformChapter 7.5 - Solving Initial Value ProblemsChapter 7.6 - Transforms Of Discontinuous FunctionsChapter 7.7 - Transforms Of Periodic And Power FunctionsChapter 7.8 - ConvolutionChapter 7.9 - Impulses And The Dirac Delta FunctionChapter 7.10 - Solving Linear Systems With Laplace TransformsChapter 7.RP - Review Problems For Chapter 7Chapter 8.1 - Introduction: The Taylor Polynomial ApproximationChapter 8.2 - Power Series And Analytic FunctionsChapter 8.3 - Power Series Solutions To Linear Differential EquationsChapter 8.4 - Equations With Analytic CoefficientsChapter 8.5 - Cauchy–euler (equidimensional) EquationsChapter 8.6 - Method Of FrobeniusChapter 8.7 - Finding A Second Linearly Independent SolutionChapter 8.8 - Special FunctionsChapter 8.RP - Review Problems For ChapterChapter 9.1 - IntroductionChapter 9.2 - Review 1: Linear Algebraic EquationsChapter 9.3 - Review 2: Matrices And VectorsChapter 9.4 - Linear Systems In Normal FormChapter 9.5 - Homogeneous Linear Systems With Constant CoefficientsChapter 9.6 - Complex EigenvaluesChapter 9.7 - Nonhomogeneous Linear SystemsChapter 9.8 - The Matrix Exponential FunctionChapter 9.RP - Review Problems For Chapter 9Chapter 10.2 - Method Of Separation Of VariablesChapter 10.3 - Fourier SeriesChapter 10.4 - Fourier Cosine And Sine SeriesChapter 10.5 - The Heat EquationChapter 10.6 - The Wave EquationChapter 10.7 - Laplace’s EquationChapter 11.2 - Eigenvalues And EigenfunctionsChapter 11.3 - Regular Sturm–liouville Boundary Value ProblemsChapter 11.4 - Nonhomogeneous Boundary Value Problems And The Fredholm AlternativeChapter 11.5 - Solution By Eigenfunction ExpansionChapter 11.6 - Green’s FunctionsChapter 11.7 - Singular Sturm–liouville Boundary Value ProblemsChapter 11.8 - Oscillation And Comparison TheoryChapter 11.RP - Review Problems For Chapter 11Chapter 12.2 - Linear Systems In The PlaneChapter 12.3 - Almost Linear SystemsChapter 12.4 - Energy MethodsChapter 12.5 - Lyapunov’s Direct MethodChapter 12.6 - Limit Cycles And Periodic SolutionsChapter 12.7 - Stability Of Higher-dimensional SystemsChapter 12.8 - Neurons And The Fitzhugh–nagumo EquationsChapter 12.RP - Review Problems For Chapter 12Chapter 13.1 - Introduction: Successive ApproximationsChapter 13.2 - Picard’s Existence And Uniqueness TheoremChapter 13.3 - Existence Of Solutions Of Linear EquationsChapter 13.4 - Continuous Dependence Of SolutionsChapter 13.RP - Review Problems For Chapter 13Chapter A - Appendix A Review Of Integration Techniques
Book Details
Fundamentals of Differential Equations presents the basic theory of differential equations and offers a variety of modern applications in science and engineering. This flexible text allows instructors to adapt to various course emphases (theory, methodology, applications, and numerical methods) and to use commercially available computer software. For the first time, MyLab Math is available for this text, providing online homework with immediate feedback, the complete eText, and more.
Note that a longer version of this text, entitled Fundamentals of Differential Equations and Boundary Value Problems, 7th Edition, contains enough material for a two-semester course. This longer text consists of the main text plus three additional chapters (Eigenvalue Problems and Sturm–Liouville Equations; Stability of Autonomous Systems; and Existence and Uniqueness Theory).
Sample Solutions for this Textbook
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Given: 5dxdt+5x2+3=0 Calculation: Independent and dependent variables: If an equation involves the...Formula used: The formula of “Integration by parts” is given by,...Chapter 3.7, Problem 1EChapter 4.RP, Problem 1RPChapter 5.RP, Problem 1RPChapter 6.RP, Problem 1RPChapter 7.RP, Problem 1RPChapter 8.RP, Problem 1RPChapter 9.RP, Problem 1RP
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