2 results found. Sorted by relevance | date | title .
Item Image
Title Differential equations / Richard Bronson, PhD, Gabriel Costa, PhD.
Author Bronson, Richard, author.
Publication New York : McGraw-Hill Education, [2014]
Edition Fourth edition.
Description xiv, 385 pages : illustrations ; 28 cm.
Call # 515.35 B
Series Schaum's outline series
Schaum's outline series.
Note Previous edition published under title: Schaum's outlines of differential equations. 2006.
Includes index.
Contents 1. Basic concepts -- Differential equations -- Notation -- Solutions -- Initial-value and boundary-value problems -- 2. An introduction to modeling and qualitative methods -- Mathematical models -- The "modeling cycle" -- Qualitative methods -- 3. Classifications of first-order differential equations -- Standard form and differential form -- Linear equations -- Bernoulli equations -- Homogeneous equations -- Separable equations -- Exact equations -- 4. Separable first-order differential equations -- General solution -- Solutions to the initial-value problem -- Reduction of homogeneous equations -- 5. Exact first-order differential equations -- Defining properties -- Method of solution -- Integrating factors -- 6. Linear first-order differential equations -- Method of solution -- Reduction of Bernoulli equations -- 7. Applications of first-order differential equations -- Growth and decay problems -- Temperature problems -- Falling body problems -- Dilution problems -- Electrical circuits -- Orthogonal trajectories -- 8. Linear differential equations : theory of solutions -- Linear differential equations -- Linearly independent solutions -- The Wronskian -- Nonhomogeneous equations -- 9. Second-order linear homogeneous differential equations with constant coefficients -- The characteristic equation -- The general solution -- 10. nth-order linear homogeneous differential equations with constant coefficients -- 11. The method of undetermined coefficients -- 12. Variation of parameters -- 13. Initial-value problems for linear differential equations -- 14. Applications of second-order linear differential equations -- Spring problems -- Electrical circuit problems -- Buoyancy problems -- Classifying solutions -- 15. Matrices -- Matrices and vectors -- Matrix addition -- Scalar and matrix multiplications -- Powers of a square matrix -- Differentiation and integration of matrices -- The characteristic equation -- 16. eAt -- 17. Reduction of linear differential equations to a system of first-order equations -- 18. Graphical and numerical methods for solving first-order differential equations -- Qualitative methods -- Direction fields -- Euler's method -- Stability -- 19. Further numerical methods for solving first-order differential equations -- Modified Euler's method -- Runge-Kutta method -- Adams-Bashford-Moulton method -- Milne's method -- Starting values -- Order of a numerical method -- 20. Numerical methods for solving second-order differential equations via systems -- 21. The Laplace Transform -- 22. Inverse Laplace Transforms -- 23. Convolutions and the unit step function -- 24. Solutions of linear differential equations with constant coefficients by Laplace Transforms -- 25. Solutions of linear systems by Laplace Transforms -- 26. Solutions of linear differential equations with constant coefficients by matrix methods -- 27. Power series solutions of linear differential equations with variable coefficients -- 28. Series solutions near a regular singular point -- 29. Some classical differential equations -- Polynomial solutions and associated concepts -- 30. Gamma and Bessel functions -- Algebraic operations on infinite series -- 31. An introduction to partial differential equations -- 32. Second-order boundary-value problems -- Eigenvalue problems -- Sturm-Liouville problems -- 33. Eigenfunction expansions -- Piecewise smooth functions -- Fourier sine series -- Fourier cosine series -- 34. An introduction to difference equations -- Appendix A. Laplace Transforms -- Appendix B. Some comments about technology -- TI-89 -- MATHEMATICA.
Summary "This Schaum's Outline gives you: 563 fully solved problems; concise explanations of all course concepts; covers first-order, second-order, and nth-order equations."--Back cover.
Subject Differential equations -- Outlines, syllabi, etc.
Differential equations -- Problems, exercises, etc.
Differential equations. (OCoLC)fst00893446
Genre Outlines and syllabi. (OCoLC)fst01423836
Problems and exercises. (OCoLC)fst01423783
Outlines and syllabi.
Problems and exercises.
Addl. Author Costa, Gabriel B., author.
Bronson, Richard. Schaum's outlines of differential equations.
Addl. Title Schaum's outline of modern introductory differential equations
Alt Title Schaum's outlines differential equations
ISBN 9780071824859 (paperback) :
0071824855 (paperback)

Location CALL # Status Message
 Central 2nd Fl - SST Non-Fiction  515.35 B    DUE 07-06-21  
 Central 2nd Fl - SST Non-Fiction  515.35 B    CHECK SHELVES