supplement to BOB p10-1 - Supplement to BOB (page 10) 5.7,...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Supplement to BOB (page 10) 5.7, extra problems (1) C œ C œ sin cos sin $B $ $ PP P P P 11 1 1 1 ww w # Š‹ C Cœ œ! ww ## # $$ $ B $ $ B P P P 1 1 1 sin sin 9 (2) is an eigenvalue corresponding to the eigenfunction Case 1 - Cœ" no eigenvalues or eigenfunctions Case 2 - ! Case 3 - ! eigenvalues: , - 8 # œ 8œ"ß#ß$ßá 8 P 1 eigenfunctions: , C œ 8 œ "ß #ß $ß á 8 cos 8B P 1 (3) (formula 9) ' ! # ! # sin sin sin sin B " " % # .B œ  # B  B œ ! ’“ ¹ 9 (4) (formula 7) ' ! # ! % $ 4 cos sin % " $B " %$ # % % # 1 1 .B œ œ # mC m œ # ’Š ¹ È 11.2, extra problems (1) ' P P P P cos cos sin sin 7B P P # Ð 7 8 Ñ P # Ð 7 8 Ñ P Ð78Ñ B Ð78Ñ B .B œ ¹ 9 (formula 10) (2) (formula 8) '' ‹‹ P ! ! P sin sin sin ŠŠ
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/28/2010 for the course ESE 317 taught by Professor Hastings during the Fall '08 term at Washington University in St. Louis.

Ask a homework question - tutors are online