1.Exercises in this edition have been updated to better test and challenge students. Revisions are based on reviewer and user input, as well as the author's understanding of the course goals.
2.Chapter 6 now starts with a new section on the review of power series.
3.This edition contains an optional section on Green's functions in Chapter 4 and for those who have extra time in their course to consider this elegant application of variation of parameters in the solution of initial-value and boundary-value problems.
4.New projects have been added to the text to show how the concepts of Differential Equations will apply to students' intended careers.
Ch 1 Introduction to Differential Equations
Ch 2 First-Order Differential Eauations
Ch 3 Modeling with First-Order Differential Equations
Ch 4 Higher-Order Differential Equations
Ch 5 Modeling with Higher-Order Differential Equations
Ch 6 Series Solutions of Linear Equations
Ch 7 Laplace Transform
Ch 8 Systems of Linear First-Order Differential Eauations
Ch 9 Numerical Solutions of Ordinary Differential Equations
Appendix I Gamma Function
Appendix II Matrices
Appendix III Laplace Transforms
Answers for Selected Odd-Numbered Problems
作者:Dennis G. Zill
現職:Loyola Marymount University