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Differential Equations

Differential Equations - 2nd edition

ISBN13: 978-0070080195

Cover of Differential Equations 2ND 94 (ISBN 978-0070080195)
ISBN13: 978-0070080195
ISBN10: 0070080194
Cover type:
Edition/Copyright: 2ND 94
Publisher: McGraw-Hill Publishing Company
Published: 1994
International: No

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Differential Equations - 2ND 94 edition

ISBN13: 978-0070080195

Schaum and Richard Bronson

ISBN13: 978-0070080195
ISBN10: 0070080194
Cover type:
Edition/Copyright: 2ND 94
Publisher: McGraw-Hill Publishing Company

Published: 1994
International: No
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.

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