Instant download Differential Equations Computing and Modeling 5th Edition pdf, docx, kindle format all chapters after payment. 0134873033, 9780134873039
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Pearson+ gives you access to much more than your eTextbook. Most titles also include audiobooks, study notes, flashcards and more to help you thrive in the classroom. For 1-semester sophomore- or junior-level courses in Differential Equations. The right balance between concepts, visualization, applications and skills Differential Equations: Computing and Modeling, 5th Edition provides the conceptual development and geometric visualization that are essential to science and engineering students. It balances traditional manual methods with the computer-based methods that illuminate qualitative phenomena. This comprehensive approach makes accessible a wider range of more realistic applications. The authors begin and end the text with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems and applications throughout.
Table of contents:
First-Order Differential Equations
1.1 Differential Equations and Mathematical Models
1.2 Integrals as General and Particular Solutions
1.3 Slope Fields and Solution Curves
1.4 Separable Equations and Applications
1.5 Linear First-Order Equations
1.6 Substitution Methods and Exact Equations
Mathematical Models and Numerical Methods
2.1 Population Models
2.2 Equilibrium Solutions and Stability
2.3 Acceleration—Velocity Models
2.4 Numerical Approximation: Euler’s Method
2.5 A Closer Look at the Euler Method
2.6 The Runge—Kutta Method
Linear Equations of Higher Order
3.1 Introduction: Second-Order Linear Equations
3.2 General Solutions of Linear Equations
3.3 Homogeneous Equations with Constant Coefficients
3.4 Mechanical Vibrations
3.5 Nonhomogeneous Equations and Undetermined Coefficients
3.6 Forced Oscillations and Resonance
3.7 Electrical Circuits
3.8 Endpoint Problems and Eigenvalues
Introduction to Systems of Differential Equations
4.1 First-Order Systems and Applications
4.2 The Method of Elimination
4.3 Numerical Methods for Systems
Linear Systems of Differential Equations
5.1 Matrices and Linear Systems
5.2 The Eigenvalue Method for Homogeneous Systems
5.3 A Gallery of Solution Curves of Linear Systems
5.4 Second-Order Systems and Mechanical Applications
5.5 Multiple Eigenvalue Solutions
5.6 Matrix Exponentials and Linear Systems
5.7 Nonhomogeneous Linear Systems
Nonlinear Systems and Phenomena
6.1 Stability and the Phase Plane
6.2 Linear and Almost Linear Systems
6.3 Ecological Models: Predators and Competitors
6.4 Nonlinear Mechanical Systems
6.5 Chaos in Dynamical Systems
Laplace Transform Methods
7.1 Laplace Transforms and Inverse Transforms
7.2 Transformation of Initial Value Problems
7.3 Translation and Partial Fractions
7.4 Derivatives, Integrals, and Products of Transforms
7.5 Periodic and Piecewise Continuous Input Functions
7.6 Impulses and Delta Functions
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