Author 
Bronson, Richard, author.

Publication 
New York : McGrawHill 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  Initialvalue and boundaryvalue problems  2. An introduction to modeling and qualitative methods  Mathematical models  The "modeling cycle"  Qualitative methods  3. Classifications of firstorder differential equations  Standard form and differential form  Linear equations  Bernoulli equations  Homogeneous equations  Separable equations  Exact equations  4. Separable firstorder differential equations  General solution  Solutions to the initialvalue problem  Reduction of homogeneous equations  5. Exact firstorder differential equations  Defining properties  Method of solution  Integrating factors  6. Linear firstorder differential equations  Method of solution  Reduction of Bernoulli equations  7. Applications of firstorder 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. Secondorder linear homogeneous differential equations with constant coefficients  The characteristic equation  The general solution  10. nthorder linear homogeneous differential equations with constant coefficients  11. The method of undetermined coefficients  12. Variation of parameters  13. Initialvalue problems for linear differential equations  14. Applications of secondorder 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 firstorder equations  18. Graphical and numerical methods for solving firstorder differential equations  Qualitative methods  Direction fields  Euler's method  Stability  19. Further numerical methods for solving firstorder differential equations  Modified Euler's method  RungeKutta method  AdamsBashfordMoulton method  Milne's method  Starting values  Order of a numerical method  20. Numerical methods for solving secondorder 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. Secondorder boundaryvalue problems  Eigenvalue problems  SturmLiouville 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  TI89  MATHEMATICA. 
Summary 
"This Schaum's Outline gives you: 563 fully solved problems; concise explanations of all course concepts; covers firstorder, secondorder, and nthorder 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) 
