exam 4 fall 2007 - Engineering Mathematics(E35 317 Exam 4...

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Engineering Mathematics (E35 317) Exam 4 December 5, 2007 This exam contains seven multiple-choice problems worth two points each, eleven true-false problems worth one point each, and two free-response problems worth 15 points altogether, for an exam total of 40 points. There is a formula list on the last page of the exam. Part I. Multiple-Choice Clearly circle the only correct response. Each is worth two points. 1. Consider the differential equation .B C BC  Ð*B  %ÑC œ !#www# 2. Consider the following Sturm-Liouville problem. C C œ ! CÐ!Ñ œ ! C Ð Ñ œ ! ww w - 1 One eigenfunction is . (You do not need to verify this.) Find the corresponding C œ sin B # eigenvalue. (You do not need to solve the Sturm-Liouville problem in order to find the eigenvalue.) (A) (B) " " % # (C) (D) 1 1 % # (E) (F) 1 1 # # % # (G) (H) B B % # (I) (J) 1 1 B B % #
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3. Let on . Find . 0ÐBÑ œ B " Ÿ B Ÿ " ll B ll (A) !
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  • Fall '10
  • Sin, Cos, Boundary value problem, Partial differential equation, initial boundary value

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