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by Schaum and Richard Bronson

Edition: 2ND 94Copyright: 1994

Publisher: McGraw-Hill Publishing Company

Published: 1994

International: No

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A light revision of the author's Modern Introductory Differential Equations which will supplant both that Outline and Differential Equations by Ayres.

**Bronson, Richard : Fairleigh Dickinson College **

Basic Concepts.

Classification of First-Order Differential Equations.

Separable First-Order Differential Equations.

Exact First-Order Differential Equations.

Linear First-Order Differential Equations.

Applications of First-Order Differential Equations.

Linear Differential Equations: Theory of Solutions.

Second-Order Linear Homogeneous Differential Equations with Constant Coefficients.

nTH-Order Linear Homogeneous Differential Equations with Constant Coefficients.

The Method of Undetermined Coefficients.

Variation of Parameters.

Initial-Value Problems.

Applications of Second-Order Linear Differential Equations.

The Laplace Transform.

The Inverse Laplace Transform.

Convolutions and the Unit Step Function.

Solutions of Linear Systems by Laplace Transform.

Convolutions and the Unit Step Function.

Solutions of Linear Differential Equations with Constant Coefficients by Laplace Transform.

Solutions of Linear Differential Equations with Constant Coefficients by Laplace Transform.

Solutions of Linear Systems by Laplace Transform.

Matrices.

eAt.

Reduction of Linear Differential Equations to a First-Order System.

Solutions of Linear Differential Equations with Constant Coefficients by Matrix Methods.

Linear Differential Equations with Variable Coefficients.

Regular Singular Points and the Method of Frobenius.

Gamma and Bessel Functions.

Graphical Methods for Solving First-Order Differential Equations.

Numerical Methods for Solving First-Order Differential Equations.

Numerical Methods for Systems.

Second-Order Boundary-Value Problems.

Eigenfunction Expansions.

Appendix: Laplace Transforms.

Answers to Supplementary Problems.

Summary

A light revision of the author's Modern Introductory Differential Equations which will supplant both that Outline and Differential Equations by Ayres.

Author Bio

**Bronson, Richard : Fairleigh Dickinson College **

Table of Contents

Basic Concepts.

Classification of First-Order Differential Equations.

Separable First-Order Differential Equations.

Exact First-Order Differential Equations.

Linear First-Order Differential Equations.

Applications of First-Order Differential Equations.

Linear Differential Equations: Theory of Solutions.

Second-Order Linear Homogeneous Differential Equations with Constant Coefficients.

nTH-Order Linear Homogeneous Differential Equations with Constant Coefficients.

The Method of Undetermined Coefficients.

Variation of Parameters.

Initial-Value Problems.

Applications of Second-Order Linear Differential Equations.

The Laplace Transform.

The Inverse Laplace Transform.

Convolutions and the Unit Step Function.

Solutions of Linear Systems by Laplace Transform.

Convolutions and the Unit Step Function.

Solutions of Linear Differential Equations with Constant Coefficients by Laplace Transform.

Solutions of Linear Differential Equations with Constant Coefficients by Laplace Transform.

Solutions of Linear Systems by Laplace Transform.

Matrices.

eAt.

Reduction of Linear Differential Equations to a First-Order System.

Solutions of Linear Differential Equations with Constant Coefficients by Matrix Methods.

Linear Differential Equations with Variable Coefficients.

Regular Singular Points and the Method of Frobenius.

Gamma and Bessel Functions.

Graphical Methods for Solving First-Order Differential Equations.

Numerical Methods for Solving First-Order Differential Equations.

Numerical Methods for Systems.

Second-Order Boundary-Value Problems.

Eigenfunction Expansions.

Appendix: Laplace Transforms.

Answers to Supplementary Problems.

Publisher Info

Publisher: McGraw-Hill Publishing Company

Published: 1994

International: No

Published: 1994

International: No

**Bronson, Richard : Fairleigh Dickinson College **

Classification of First-Order Differential Equations.

Separable First-Order Differential Equations.

Exact First-Order Differential Equations.

Linear First-Order Differential Equations.

Applications of First-Order Differential Equations.

Linear Differential Equations: Theory of Solutions.

Second-Order Linear Homogeneous Differential Equations with Constant Coefficients.

nTH-Order Linear Homogeneous Differential Equations with Constant Coefficients.

The Method of Undetermined Coefficients.

Variation of Parameters.

Initial-Value Problems.

Applications of Second-Order Linear Differential Equations.

The Laplace Transform.

The Inverse Laplace Transform.

Convolutions and the Unit Step Function.

Solutions of Linear Systems by Laplace Transform.

Convolutions and the Unit Step Function.

Solutions of Linear Differential Equations with Constant Coefficients by Laplace Transform.

Solutions of Linear Differential Equations with Constant Coefficients by Laplace Transform.

Solutions of Linear Systems by Laplace Transform.

Matrices.

eAt.

Reduction of Linear Differential Equations to a First-Order System.

Solutions of Linear Differential Equations with Constant Coefficients by Matrix Methods.

Linear Differential Equations with Variable Coefficients.

Regular Singular Points and the Method of Frobenius.

Gamma and Bessel Functions.

Graphical Methods for Solving First-Order Differential Equations.

Numerical Methods for Solving First-Order Differential Equations.

Numerical Methods for Systems.

Second-Order Boundary-Value Problems.

Eigenfunction Expansions.

Appendix: Laplace Transforms.

Answers to Supplementary Problems.