Schaum's Outline of Differential Equations, 3ed

by Bronson, Richard; Costa, Gabriel

• ISBN13: 9780071611626
• ISBN10: 0071611622
• Edition: 3rd
• Format: Paperback
• Copyright: 2009-05-20
• Publisher: McGraw-Hill

Summary

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Table of Contents

Basic Concepts

An Introduction to Modeling and Qualitative Methods

Classifications 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 for Linear Differential Equations

Applications of Second-Order Linear Differential Equations

Matrices

e^at

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

Graphical and Numerical Methods for Solving First-Order Differential Equations

Further Numerical Methods for Solving First-Order Differential Equations20. Numerical Methods for Solving Second-Order Differential Equations Via Systems

The Laplace Transform

Inverse Laplace Transforms

Convolutions and the Unit Step Function

Solutions of Linear Differential Equations with Constant Coefficients by Laplace Transforms

Solutions of Linear systems by Laplace Transforms

Solutions of Linear Differential Equations with Constant Coefficients by Matrix Methods

Power Series Solutions of Linear Differential Equations with Variable Coefficients

Series Solutions Near a Regular Singular Point

Some classical Different Equations

Gamma and Bessel Functions

An Introduction to Partial Differential Equations

Second-Order Boundary-Value Problems

Eigenfunction Expansions

An Introduction to Difference Equations

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