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Schaum's Outlines-Problem Solved.
A complete guide to differential equations, including 563 solved problems.
If you want top grades and thorough understanding of differential equations, this powerful study tool is the best tutor you can have! It takes you step-by-step through the subject and gives you 563 accompanying problems with fully worked solutions. You also get plenty of practice problems to do on your own, working at your own speed. (Answers at the back show you how you're doing.) Famous for their clarity, wealth of illustrations and examples, and lack of dreary minutiae, Schaum’s Outlines have sold more than 30 million copies worldwide—and this guide will show you why!
About the Author
Richard Bronson, Ph.D.
, is a professorof mathematics at Fairleigh Dickinson University.
Gabriel Costa, Ph.D., is an associateprofessor of mathematics in the Department of MathematicalSciences at West Point.
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.