Elementary Differential Equations

ISBN-10: 0201709260

ISBN-13: 9780201709261

Edition: 2003

List price: $124.00
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Book details

List price: $124.00
Copyright year: 2003
Publisher: Addison-Wesley Longman, Incorporated
Binding: Hardcover
Pages: 760
Size: 8.25" wide x 10.50" long x 1.25" tall
Weight: 3.146
Language: English

Introduction to Differential Equations
Examples of Differential Equations
Direction Fields
First Order Linear Differential Equations
Existence and Uniqueness
First Order Linear Homogeneous Differential Equations
First Order Linear Nonhomogeneous Differential Equations
Introduction to Mathematical Models
Mixing Problems and Cooling Problems
First Order Nonlinear Differential Equations
Existence and Uniqueness
Separable First Order Equations
Exact Differential Equations
Bernoulli Equations
The Logistic Population Model
One-Dimensional Motion with Air Resistance
One-Dimensional Dynamics with Distance as the Independent Variable
Euler's Method
Second Order Linear Differential Equations
Existence and Uniqueness
The General Solution of Homogeneous Equations
Fundamental Sets and Linear Independence
Constant Coefficient Homogeneous Equations
Real Repeated Roots; Reduction of Order
Complex Roots
Unforced Mechanical Vibrations
The General Solution of the Linear Nonhomogeneous Equation
The Method of Undetermined Coefficients
The Method of Variation of Parameters
Forced Mechanical Vibrations, Electrical Networks, and Resonance
Higher Order Linear Differential Equations
Existence and Uniqueness
The General Solution ofnth Order Linear Homogeneous Equation
Fundamental Sets and Linear Independence
Constant Coefficient Homogeneous Equations
Nonhomogeneous Linear Equations
First Order Linear Systems
The Calculus of Matrix Functions
Existence and Uniqueness
Homogeneous Linear Systems
Fundamental Sets and Linear Independence
Constant Coefficient Homogeneous Systems
Complex Eigenvalues
Repeated Eigenvalues
Nonhomogeneous Linear Systems
Euler's Method for Systems of Differential Equations
Diagonalization
Propagator Matrices, Functions of a Matrix and the Exponential Matrix
Laplace Transforms
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