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First Course in Differential Equations

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ISBN-10: 0534373887

ISBN-13: 9780534373887

Edition: 5th 2001 (Revised)

Authors: Dennis G. Zill

List price: $322.95
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Description:

The CLASSIC EDITION of Zill's respected book was designed for instructors who prefer not to emphasize technology, modeling, and applications, but instead want to focus on fundamental theory and techniques. Zill's CLASSIC EDITION, a reissue of the fifth edition, offers his excellent writing style, a flexible organization, an accessible level of presentation, and a wide variety of examples and exercises, all of which make it easy to teach from and easy for readers to understand and use.
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Book details

List price: $322.95
Edition: 5th
Copyright year: 2001
Publisher: Brooks/Cole
Publication date: 12/8/2000
Binding: Hardcover
Pages: 520
Size: 8.25" wide x 10.25" long x 1.25" tall
Weight: 2.838
Language: English

Introduction To Differential Equations
Basic Definitions and Terminology
Some Mathematical Models
Review
Exercises
First-Order Differential Equations
Preliminary Theory
Separable Variables
Homogeneous Equations
Exact Equations
Linear Equations
Equations of Bernoulli, Ricatti, and Clairaut
Substitutions
Picard's Method
Review
Exercises
Applications Of First-Order Differential Equations
Orthogonal Trajectories
Applications of Linear Equations
Applications of Nonlinear Equations
Review
Exercises
Essay: Population Dynamics
Linear Differential Equations Of Higher-Order
Preliminary Theory
Constructing a Second Solution from a Know Solution
Homogeneous Linear Equations with Constant Coefficients
Undetermined Coefficients: Superposition Approach
Differential Operators
Undetermined Coefficients: Annihilator Approach
Variation of Parameters
Review
Exercises
Essay: Chaos
Applications Of Second-Order Differential Equations: Vibrational Models
Simple Harmonic Motion
Damped Motion
Forced Motion
Electric Circuits and Other Analogous Systems
Review
Exercises
Essay: Tacoma Narrows Suspension Bridge Collapse
Differential Equations With Variable Coefficients
Cauchy-Euler Equation
Review of Power Series; Power Series Solutions
Solutions About Ordinary Points
Solutions About Singular Points
Two Special Equations
Review
Exercises
Laplace Transform
Laplace Transform
Inverse Transform
Translation Theorems and Derivatives of a Transform
Transforms of Derivatives, Integrals, and Periodic Functions
Applications
Dirac Delta Function
Review
Exercises
Systems Of Linear Differential Equations
Operator Method
Laplace Transform Method
Systems of Linear First-Order Equations
Introduction to Matrices
Matrices and Systems of Linear First-Order Equations
Homogeneous Linear Systems
Undetermined Coefficients
Variation of Parameters
Matrix Exponential
Review
Exercises
Numerical Methods For Ordinary Differential Equations
Direction Fields
The Euler Methods
The Three-Term Taylor Method
The Runge-Kutta Methods
Multistep Methods
Errors and Stability
Higher-Order Equations and Systems
Second-Order Boundary-Value Problems
Review
Exercises
Essay: Nerve Impulse Models
Gamma Function
Laplace Transforms
Review Of Determinants
Complex Numbers
Answers To Odd-Numbered Problems