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Differential Equations and Boundary Value Problems

BOUNDARYAND BOUNDARYVALUE PROBLEMSVALUE PROBLEMSC omputing and ModelingFifth EditionC. Henry EdwardsDavid E. PenneyThe University of Georgiawith the assistance ofDavid CalvisBaldwin Wallace CollegeBoston Columbus Indianapolis New York San Francisco Upper Saddle RiverAmsterdam Cape Town Dubai London Madrid Milan Munich Paris Montr eal TorontoDehli Mexico City S ao Paulo Sydney Hong Kong Seoul Singapore Taipei :William HoffmanEditorial Assistant:Salena CashaProject Manager:Beth HoustonMarketing Manager:Jeff WeidenaarMarketing Assistant:Brooke SmithSenior Author Support/Technology Specialist:Joe VetereRights and Permissions Advisor:Aptara, Specialist:Carol MelvilleAssociate Director of Design:Andrea NixDesign Team Lead:Heather ScottText Design, Production Coordination, Composition:Dennis Kletzing, Kletzing Typesetting :George NicholsCover Design:Studio MontageCover Image.

Eigenvalue Methods and Boundary Value Problems 635 10.1 Sturm–Liouville Problems and Eigenfunction Expansions 635 10.2 Applications of Eigenfunction Series 647 10.3 Steady Periodic Solutions and Natural Frequencies 657 10.4 Cylindrical Coordinate Problems 666 10.5 Higher-Dimensional Phenomena 681 References for Further Study 698

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