m257_316_midterm2_sec104w2008

m257_316_midterm2_sec104w2008 - Math 257/316, Midterm 2,...

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Math 257/316, Midterm 2, Section 104 17 November 2008 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 wave equation: u tt = c 2 u xx + e t sin (5 x ) , 0 <x< π 2 ,t> 0 u (0 ,t )=0 and u x ( π 2 )= t , t> 0 u ( x, 0) = 0 , u t ( x, 0) = sin 3 x + x, 0 π 2 [60 marks] 2. Use separation of variables to solve Laplace’s equation for the square plate: u xx + u
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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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