Schaum's outline series theory and problems of differential equations /
Richard Bronson
- Second edition
- [New York] : McGraw Hill Education, c1994
- x, 358 pages : illustrations ; 28 cm .
Includes index.
Chapter 1. Basic Concepts -- Chapter 2. Classification of first-order differential equations -- Chapter 3. Separable first-order differential equations -- Chapter 4. Exact first-order differential equations -- Chapter 5. Linear first-order differential equations -- Chapter 6. Applications of first-order differential equations -- Chapter 7. Linear differential equations : theory of solutions -- Chapter 8. Second-order linear homogeneous differential equations with constant coefficients -- Chapter 9. nTH-order linear homogeneous differential equations with constant coefficients -- Chapter 10. The method of undetermined coefficients --Chapter 11. Variation of parameters -- Chapter 12. Initial-value problems -- Chapter 13. Applications of second-order linear differential equations -- Chapter 14. The laplace transform -- Chapter 15. The Inverse laplace transform -- Chapter 16. Convolutions and the unit step function -- Chapter 17. Solutions of linear differential equations with constant coefficients by Laplace transform -- Chapter 18. Solutions of linear systems by Laplace transforms -- Chapter 19. Matrices -- Chapter 20. eAt -- Chapter 21. Reduction of linear differential equations to a first-order system -- Chapter 22. Solutions of linear differential equations with constant coefficients by matrix methods -- Chapter 23. Linear differential equations with variable coefficients -- Chapter 24. Regular singular points and the method of frobenius -- Chapter 25. Gamma and bessel functions -- Chapter 26. Graphical methods for solving first-order differential equations -- Chapter 27. Numerical methods for solving first-order differential equations -- Chapter 28. Numerical methods for systems -- Chapter 29. Second-order boundary-value problems -- Chapter 30. Eigenfunction expansions .
Outlines both the classic theory of differential equations and the solution procedures that practitioners favor. This guide includes several problems with worked-out solutions to help students master the basics of this linchpin of modern mathematics. It also includes more than 800 supplementary problems with answers to reinforce comprehension.