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Full Description
This is the student solution manual for Differential Equations: Techniques, Theory, and Applications by Barbara D. MacCluer, Paul S. Bourdon, and Thomas L. Kriete. This manual has been prepared by the authors of the text and it contains solutions to all of the approximately 725 odd-numbered exercises. The solutions are detailed and carefully written with student readers in mind. The breadth and quality of the exercises are strengths of the original text. In addition to routine exercises that allow students to practice the basic techniques, the text includes many mid-level exercises that help students take the next step beyond the basics, and more challenging exercises, of both a theoretical and modeling nature, organized into manageable steps.
Contents
Introduction
First-order equations
Numerical methods
Higher-order linear homogeneous equations
Higher-order linear nonhomogeneous equations
Laplace transforms
Power series solutions
Linear systems I
Linear systems II
Nonlinear systems
Partial differential equations and Fourier series.