Differential Equations with Boundary-Value Problems

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Cengage Learning, 2012 M03 15 - 664 pages
DIFFERENTIAL EQUATIONS WITH BOUNDARY-VALUE PROBLEMS, 8th Edition strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This proven and accessible text speaks to beginning engineering and math students through a wealth of pedagogical aids, including an abundance of examples, explanations, Remarks boxes, definitions, and group projects. Written in a straightforward, readable, and helpful style, the book provides a thorough treatment of boundary-value problems and partial differential equations.
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Contents

Introduction to Differential Equations
1
FirstOrder Differential Equations
35
Modeling with FirstOrder Differential Equations
83
HigherOrder Differential Equations
116
Modeling with HigherOrder Differential Equations
192
Series Solutions of Linear Equations
231
The Laplace Transform
273
Systems of Linear FirstOrder Differential Equations
325
Fourier Series
419
BoundaryValue Problems in Rectangular Coordinates
455
BoundaryValue Problems in Other Coordinate Systems
493
Integral Transforms
510
Numerical Solutions of Partial Differential Equations
534
Appendixes
551
Answers for Selected OddNumbered Problems
575
Index
I-1

Numerical Solutions of Ordinary Differential Equations
362
Plane Autonomous Systems
385

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