Name: Fundamentals Of Differential Equations And Boundary Value Problems, Books A La Carte Edition (7th Edition)
Author: Nagle, R. Kent, Saff, Edward B., Snider, Arthur David
ISBN: 9780321977182

Chapter 1.1 - Background Chapter 1.2 - Solutions And Initial Value Problems Chapter 1.3 - Direction Fields Chapter 1.4 - The Approximation Method Of Euler Chapter 1.RP - Review Problems For Chapter 1 Chapter 2.2 - Separable Equations Chapter 2.3 - Linear Equations Chapter 2.4 - Exact Equations Chapter 2.5 - Special Integrating Factors Chapter 2.6 - Substitutions And Transformations

Chapter 2.RP - Review Problems For Chapter 2 Chapter 3.2 - Compartmental Analysis Chapter 3.3 - Heating And Cooling Of Buildings Chapter 3.4 - Newtonian Mechanics Chapter 3.5 - Electrical Circuits Chapter 3.6 - Numerical Methods: A Closer Look At Euler’s Algorithm Chapter 3.7 - Higher-order Numerical Methods: Taylor And Runge–kutta Chapter 4.1 - Introduction: The Mass-spring Oscillator Chapter 4.2 - Homogeneous Linear Equations: The General Solution Chapter 4.3 - Auxiliary Equations With Complex Roots Chapter 4.4 - Nonhomogeneous Equations: The Method Of Undetermined Coefficients Chapter 4.5 - The Superposition Principle And Undetermined Coefficients Revisited Chapter 4.6 - Variation Of Parameters Chapter 4.7 - Variable-coefficient Equations Chapter 4.8 - Qualitative Considerations For Variable-coefficient And Nonlinear Equations Chapter 4.9 - A Closer Look At Free Mechanical Vibrations Chapter 4.10 - A Closer Look At Forced Mechanical Vibrations Chapter 4.RP - Review Problems For Chapter 4 Chapter 5.2 - Differential Operators And The Elimination Method For Systems Chapter 5.3 - Solving Systems And Higher-order Equations Numerically Chapter 5.4 - Introduction To The Phase Plane Chapter 5.5 - Applications To Biomathematics: Epidemic And Tumor Growth Models Chapter 5.6 - Coupled Mass-spring Systems Chapter 5.7 - Electrical Systems Chapter 5.8 - Dynamical Systems, Poincaré Maps, And Chaos Chapter 5.RP - Review Problems For Chapter 5 Chapter 6.1 - Basic Theory Of Linear Differential Equations Chapter 6.2 - Homogeneous Linear Equations With Constant Coefficients Chapter 6.3 - Undetermined Coefficients And The Annihilator Method Chapter 6.4 - Method Of Variation Of Parameters Chapter 6.RP - Review Problems For Chapter 6 Chapter 7.2 - Definition Of The Laplace Transform Chapter 7.3 - Properties Of The Laplace Transform Chapter 7.4 - Inverse Laplace Transform Chapter 7.5 - Solving Initial Value Problems Chapter 7.6 - Transforms Of Discontinuous Functions Chapter 7.7 - Transforms Of Periodic And Power Functions Chapter 7.8 - Convolution Chapter 7.9 - Impulses And The Dirac Delta Function Chapter 7.10 - Solving Linear Systems With Laplace Transforms Chapter 7.RP - Review Problems For Chapter 7 Chapter 8.1 - Introduction: The Taylor Polynomial Approximation Chapter 8.2 - Power Series And Analytic Functions Chapter 8.3 - Power Series Solutions To Linear Differential Equations Chapter 8.4 - Equations With Analytic Coefficients Chapter 8.5 - Cauchy–euler (equidimensional) Equations Chapter 8.6 - Method Of Frobenius Chapter 8.7 - Finding A Second Linearly Independent Solution Chapter 8.8 - Special Functions Chapter 8.RP - Review Problems For Chapter Chapter 9.1 - Introduction Chapter 9.2 - Review 1: Linear Algebraic Equations Chapter 9.3 - Review 2: Matrices And Vectors Chapter 9.4 - Linear Systems In Normal Form Chapter 9.5 - Homogeneous Linear Systems With Constant Coefficients Chapter 9.6 - Complex Eigenvalues Chapter 9.7 - Nonhomogeneous Linear Systems Chapter 9.8 - The Matrix Exponential Function Chapter 9.RP - Review Problems For Chapter 9 Chapter 10.2 - Method Of Separation Of Variables Chapter 10.3 - Fourier Series Chapter 10.4 - Fourier Cosine And Sine Series Chapter 10.5 - The Heat Equation Chapter 10.6 - The Wave Equation Chapter 10.7 - Laplace’s Equation Chapter 11.2 - Eigenvalues And Eigenfunctions Chapter 11.3 - Regular Sturm–liouville Boundary Value Problems Chapter 11.4 - Nonhomogeneous Boundary Value Problems And The Fredholm Alternative Chapter 11.5 - Solution By Eigenfunction Expansion Chapter 11.6 - Green’s Functions Chapter 11.7 - Singular Sturm–liouville Boundary Value Problems Chapter 11.8 - Oscillation And Comparison Theory Chapter 11.RP - Review Problems For Chapter 11 Chapter 12.2 - Linear Systems In The Plane Chapter 12.3 - Almost Linear Systems Chapter 12.4 - Energy Methods Chapter 12.5 - Lyapunov’s Direct Method Chapter 12.6 - Limit Cycles And Periodic Solutions Chapter 12.7 - Stability Of Higher-dimensional Systems Chapter 12.8 - Neurons And The Fitzhugh–nagumo Equations Chapter 12.RP - Review Problems For Chapter 12 Chapter 13.1 - Introduction: Successive Approximations Chapter 13.2 - Picard’s Existence And Uniqueness Theorem Chapter 13.3 - Existence Of Solutions Of Linear Equations Chapter 13.4 - Continuous Dependence Of Solutions Chapter 13.RP - Review Problems For Chapter 13 Chapter A - Appendix A Review Of Integration Techniques

Book Details

An introduction to the basic theory and applications of differential equations. Fundamentals of Differential Equations and Boundary Value Problems 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.

Sample Solutions for this Textbook

We offer sample solutions for Fundamentals Of Differential Equations And Boundary Value Problems, Books A La Carte Edition (7th Edition) homework problems. See examples below:

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 1E Chapter 4.RP, Problem 1RP Chapter 5.RP, Problem 1RP Chapter 6.RP, Problem 1RP Chapter 7.RP, Problem 1RP Chapter 8.RP, Problem 1RP Chapter 9.RP, Problem 1RP

Chapter 10.7, Problem 2E Chapter 11.RP, Problem 1RP Chapter 12.RP, Problem 1RP Chapter 13.RP, Problem 1RP

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