m257_316_midterm2_sec101w2007

m257_316_midterm2_sec101w2007 - Math 257/316, Midterm 2,...

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Math 257/316, Midterm 2, Section 101 16 November 2007 Instructions. The duration of the exam is 55 minutes. Answer all questions. Calculators are not allowed. Maximum score 100. 1. Solve the following inhomogeneous initial boundary value problem for the heat equation: u t = u xx , 0 <x< 1 ,t> 0 u (0 ,t )=0 and u (1 )= t u ( x, 0) = 1 6 x ( x 2 1) [50 marks] 2. Consider the following initial-boundary value problem for a uniform string that is tied down at its
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This note was uploaded on 04/06/2012 for the course MATH 257 taught by Professor Peirce during the Fall '08 term at The University of British Columbia.

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