Differential Equations With Boundary-Value Problems 7th Edition by Dennis Zill, Michael Cullen ISBN 0495108367 9780495108368

Differential Equations With Boundary-Value Problems 7th Edition by Dennis G. Zill, Michael R. Cullen – Ebook PDF Instant Download/Delivery. 0495108367, 978-0495108368
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Product details:

ISBN 10:       0495108367
ISBN 13: 978-0495108368
Author:         Dennis G. Zill, Michael R. Cullen

Differential Equations With Boundary-Value Problems 7th Table of contents:

Chapter 1: Introduction to Differential Equations
1.1 Definitions and Terminology
1.2 Initial-Value Problems
1.3 Differential Equations as Mathematical Models

Chapter 2: First-Order Differential Equations
2.1 Solution Curves without a Solution
2.2 Separable Equations
2.3 Linear Equations
2.4 Exact Equations
2.5 Solutions by Substitutions
2.6 A Numerical Method

Chapter 3: Modeling with First-Order Differential Equations
3.1 Linear Models
3.2 Nonlinear Models
3.3 Modeling with Systems of First-Order DEs

Chapter 4: Higher-Order Differential Equations
4.1 Preliminary Theory – Linear Equations
4.2 Reduction of Order
4.3 Homogeneous Linear Equations with Constant Coefficients
4.4 Undetermined Coefficients—Superposition Approach
4.5 Undetermined Coefficients—Annihilator Approach
4.6 Variation of Parameters
4.7 Cauchy-Euler Equation
4.8 Green’s Functions
4.9 Solving Systems of Linear DEs by Elimination
4.10 Nonlinear Differential Equations

Chapter 5: Modeling with Higher-Order Differential Equations
5.1 Linear Models: Initial-Value Problems
5.2 Linear Models: Boundary-Value Problems
5.3 Nonlinear Models

Chapter 6: Series Solutions of Linear Equations
6.1 Review of Power Series
6.2 Solutions about Ordinary Points
6.3 Solutions about Singular Points
6.4 Special Functions

Chapter 7: The Laplace Transform
7.1 Definition of the Laplace Transform
7.2 Inverse Transforms and Transforms of Derivatives
7.3 Operational Properties I
7.4 Operational Properties II
7.5 The Dirac Delta Function
7.6 Systems of Linear Differential Equations

Chapter 8: Systems of Linear First-Order Differential Equations
8.1 Preliminary Theory – Linear Systems
8.2 Homogeneous Linear Systems
8.3 Nonhomogeneous Linear Systems
8.4 Matrix Exponential

Chapter 9: Numerical Solutions of Ordinary Differential Equations
9.1 Euler Methods and Error Analysis
9.2 Runge-Kutta Methods
9.3 Multistep Methods
9.4 Higher-Order Equations and Systems
9.5 Second-Order Boundary-Value Problems

Chapter 10: Plane Autonomous Systems
10.1 Autonomous Systems
10.2 Stability of Linear Systems
10.3 Linearization and Local Stability
10.4 Autonomous Systems as Mathematical Models

Chapter 11: Fourier Series
11.1 Orthogonal Functions
11.2 Fourier Series
11.3 Fourier Cosine and Sine Series
11.4 Sturm-Liouville Problem
11.5 Bessel and Legendre Series

Chapter 12: Boundary-Value Problems in Rectangular Coordinates
12.1 Separable Partial Differential Equations
12.2 Classical PDEs and Boundary-Value Problems
12.3 Heat Equation
12.4 Wave Equation
12.5 Laplace’s Equation
12.6 Nonhomogeneous Boundary-Value Problems
12.7 Orthogonal Series Expansions
12.8 Higher-Dimensional Problems

Chapter 13: Boundary-Value Problems in Other Coordinate Systems
13.1 Polar Coordinates
13.2 Polar and Cylindrical Coordinates
13.3 Spherical Coordinates

Chapter 14: Integral Transforms
14.1 Error Function
14.2 Laplace Transform
14.3 Fourier Integral
14.4 Fourier Transforms

Chapter 15: Numerical Solutions of Partial Differential Equations
15.1 Laplace’s Equation
15.2 Heat Equation
15.3 Wave Equation

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