This Book is in Good Condition. Clean Copy With Light Amount of Wear. 100% Guaranteed. Summary: Chapter 1: Introduction to Differential Equations Differential Equation Models. The Derivative. Integration. Chapter 2: First-Order Equations Differential Equations and Solutions. Solutions to Separable Equations. Models of Motion. Linear Equations. Mixing Problems. Exact Differential Equations. Existence and Uniqueness of Solutions. Dependence of Solutions on Initial Conditions. Autonomous Equations and Stability. Project 2.10 The Daredevil Skydiver. Chapter 3: Modeling and Applications Modeling Population Growth. Models and the Real World. Personal Finance. Electrical Circuits. Project 3.5 The Spruce Budworm. Project 3.6 Social Security, Now or Later. Chapter 4: Second-Order Equations Definitions and Examples. Second-Order Equations and Systems. Linear, Homogeneous Equations with Constant Coefficients. Harmonic Motion. Inhomogeneous Equations; the Method of Undetermined Coefficients. Variation of Parameters. Forced Harmonic Motion. Project 4.8 Nonlinear Oscillators. Chapter 5: The Laplace Transform The Definition of the Laplace Transform. Basic Properties of the Laplace Transform 241. The Inverse Laplace Transform Using the Laplace Transform to Solve Differential Equations. Discontinuous Forcing Terms. The Delta Function. Convolutions. Summary. Project 5.9 Forced Harmonic Oscillators. Chapter 6: Numerical Methods Eulers Method. Runge-Kutta Methods. Numerical Error Comparisons. Practical Use of Solvers. A Cautionary Tale. Project 6.6 Numerical Error Comparison. Chapter 7: Matrix Algebra Vectors and Matrices. Systems of Linear Equations with Two or Three Variables. Solving Systems of Equations. Homogeneous and Inhomogeneous Systems. Bases of a subspace. Square Matrices. Determinants. Chapter 8: An Introduction to Systems Definitions and Examples. Geometric Interpretation of Solutions. Qualitative Analysis. Linear Systems. Properties of Linear Systems. Project 8.6 Long-Term Behavior of Solutions. Chapter 9: Linear Systems with Constant Coefficients Overview of the Technique. Planar Systems. Phase Plane Portraits. The Trace-Determinant Plane. Higher Dimensional Systems. The Exponential of a Matrix. Qualitative Analysis of Linear Systems. Higher-Order Linear Equations. Inhomogeneous Linear Systems. Project 9.10 Phase Plane Portraits. Project 9.11 Oscillations of Linear Molecules. Chapter 10: Nonlinear Systems The Linearization of a Nonlinear System. Long-Term Behavior of Solutions. Invariant Sets and the Use of Nullclines. Long-Term Behavior of Solutions to Planar Systems. Conserved Quantities. Nonlinear Mechanics. The Method of Lyapunov. PredatorPrey Systems. Project 10.9 Human Immune Response to Infectious Disease. Project 10.10 Analysis of Competing Species. Chapter 11: Series Solutions to Differential Equations Review of Power Series. Series Solutions Near Ordinary Points. Legendres Equation. Types of Singular Points Eulers Equation. Series Solutions Near Regular Singular Points. Series Solutions Near Regular Singular Points the General Case. Bessels Equation and Bessel Functions Chapter 12: Fourier Series Computation of Fourier Series. Convergence of Fourier Series. Fourier Cosine and Sine Series. The Complex Form of a Fourier Series. The Discrete Fourier Transform and the FFT. Chapter 13: Partial Differential Equations Derivation of the Heat Equation. Separation of Variables for the Heat Equation. The Wave Equation. Laplaces Equation. Laplaces Equation on a Disk. Sturm Liouville Problems. Orthogonality and Generalized Fourier Series. Temperature in a Ball Legendre Polynomials. Time Dependent PDEs in Higher Dimension. Domains with Circular Symmetry Bessel Functions. Bookseller Inventory #
Synopsis: Combining traditional differential equation material with a modern qualitative and systems approach, this new edition continues to deliver flexibility of use and extensive problem sets. The second edition’s refreshed presentation includes extensive new visuals, as well as updated exercises throughout.
From the Back Cover: This book strikes a balance between the traditional and the modern—combining the traditional material with a modern systems emphasis. Chapter topics cover an introduction to differential equations, first-order equations, modeling and applications, second-order equations, the Laplace Transform, numerical methods, matrix algebra, an introduction to systems, linear systems with constant coefficients, nonlinear systems, power series solutions, Fourier series methods, and partial differential equations.
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Book Description Pearson. Hardcover. Condition: Good. 0131862367 Item in good condition. Textbooks may not include supplemental items i.e. CDs, access codes etc. Seller Inventory # Z0131862367Z3
Book Description Prentice Hall, 2005. Hardcover. Condition: Good. Item may show signs of shelf wear. Pages may include limited notes and highlighting. Includes supplemental or companion materials if applicable. Access codes may or may not work. Connecting readers since 1972. Customer service is our top priority. Seller Inventory # mon0001362500
Book Description Prentice Hall, 2005. Hardcover. Condition: Good. Item may show signs of shelf wear. Pages may include limited notes and highlighting. Includes supplemental or companion materials if applicable. Access codes may or may not work. Connecting readers since 1972. Customer service is our top priority. Seller Inventory # mon0001035925
Book Description Pearson. Hardcover. Condition: GOOD. Spine creases, wear to binding and pages from reading. May contain limited notes, underlining or highlighting that does affect the text. Possible ex library copy, thatâ€™ll have the markings and stickers associated from the library. Accessories such as CD, codes, toys, may not be included. Seller Inventory # 2856337111
Book Description Pearson. Hardcover. Condition: VERY GOOD. Light rubbing wear to cover, spine and page edges. Very minimal writing or notations in margins not affecting the text. Possible clean ex-library copy, with their stickers and or stamp(s). Seller Inventory # 2858177380
Book Description Condition: Good. There is heavy highlighting or handwriting throughout the book. Book may show some wear. Used books may not contain supplements such as access codes, CDs, etc. Every item ships the same or next business day with tracking number emailed to you. Get Bombed!!. Seller Inventory # 3U1GIF0003EB
Book Description Pearson, 2005. Hardcover. Condition: Used: Acceptable. Awesome Text For the Price!!!. Seller Inventory # 120306
Book Description Prentice Hall, 2005. Hardcover. Condition: Used: Good. Seller Inventory # SONG0131862367
Book Description Pearson, 2005. Hardcover. Condition: Good. Your support helps send textbooks to students abroad as we believe that affordable and accessible education is a right, not a privilege. Seller Inventory # mon0000117298
Book Description Pearson, 2005. Hardcover. Condition: Very Good. Great condition with minimal wear, aging, or shelf wear. Seller Inventory # P020131862367