Schaum’s Outline of Differential Equations

Tough Test Questions? Missed Lectures? Not Enough Time?

Fortunately, there’s Schaum’s. This all-in-one-package includes more than 550 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 30 detailed videos featuring Math instructors who explain how to solve the most commonly tested problems–it’s just like having your own virtual tutor! You’ll find everything you need to build confidence, skills, and knowledge for the highest score possible.

More than 40 million students have trusted Schaum’s to help them succeed in the classroom and on exams. Schaum’s is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. Helpful tables and illustrations increase your understanding of the subject at hand.

This Schaum’s Outline gives you

• 563 fully solved problems
• Concise explanation of all course concepts
• Covers first-order, second-order, and nth-order equations
• Fully compatible with your classroom text, Schaum’s highlights all the important facts you need to know. Use Schaum’s to shorten your study time–and get your best test scores!
• Schaum’s Outlines–Problem Solved.

Chapter 1 Basic Concepts

Chapter 2 An Introduction to Modeling and Qualitative Methods

Chapter 3 Classifications of First -Order Differential Equations

Chapter 4 Separable First -Order Differential Equations

Chapter 5 Exact First -Order Differential Equations

Chapter 6 Linear First-Order Differential Equations

Chapter 7 Applications of First -Order Differential Equations

Chapter 8 Linear Differential Equations: Theory of Solutions

Chapter 9 Second-Order Linear Homogeneous Differential Equations with Constant Coefficients

Chapter 10 nth-Order Linear Homogeneous Differential Equations with Constant Coefficients

Chapter 11 The Method of Undetermined Coefficients

Chapter 12 Variation of Parameters

Chapter 13 Initial-Value Problems for Linear Differential Equations

Chapter 14 Applications of Second-Order Linear Differential Equations

Chapter 15 Matrices

Chapter 16 e[sup(At)]

Chapter 17 Reduction of Linear Differential Equations to a System of First-Order Equations

Chapter 18 Graphical and Numerical Methods for Solving First-Order Differential Equations

Chapter 19 Further Numerical Methods for Solving First-Order Differential Equations

Chapter 20 Numerical Methods for Solving Second-Order Differential Equations Via Systems

Chapter 21 The Laplace Transform

Chapter 22 Inverse Laplace Transforms

Chapter 23 Convolutions and the Unit Step Function

Chapter 24 Solutions of Linear Differential Equations with Constant Coefficients by Laplace Transforms

Chapter 25 Solutions of Linear Systems by Laplace Transforms

Chapter 26 Solutions of Linear Differential Equations with Constant Coefficients by Matrix Methods

Chapter 27 Power Series Solutions of Linear Differential Equations with Variable Coefficients

Chapter 28 Series Solutions Near a Regular Singular Point

Chapter 29 Some Classical Differential Equations

Chapter 30 Gamma and Bessel Functions

Chapter 31 An Introduction to Partial Differential Equations

Chapter 32 Second-Order Boundary-Value Problems

Chapter 33 Eigenfunction Expansions

Chapter 34 An Introduction to Difference Equations

Appendix A: Laplace Transforms

Appendix 8: Some Comments about Technology

About the Author

Richard Bronson, PhD, is a professor of mathematics at Farleigh Dickinson University. Dr. Bronson has served as an associate editor of the journal Simulation, as a contributing editor to SIAM News, and as a consultant to Bell Laboratories. He has conducted joint research in mathematical modeling and computer simulation at Technion-Israel Institute of Technology and the Wharton School of Business at the University of Pennsylvania. Dr. Bronson has published over 30 technical articles and books, the latter including Schaum’s Outline of Matrix Operations and Schaum’s Outline of Operations Research.

Gabriel B. Costa, Ph.D. is a Catholic priest and an associate professor of mathematical sciences at the United States Military Academy at West Pint, where he also functions as an associate chaplain. In addition to differential equations, Father Costa’s academic interests include mathematics education and sabermetrics, the search for objective knowledge about baseball.