HW#3 - 2 = 0 ≤ x ≤ 1 subject to the boundary conditions dc dx ± ± ± ± x =0 = 0 dc dx ± ± ± ± x =1 = 0 does not have a unique solution 3

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ChBE 521 Homework 3 due Wednesday, September 16 1. Numerically solve the equation d 2 c dx 2 = c, 0 x 1 , subject to the boundary conditions c (0) = 1 , dc dx ± ± ± ± x =1 = 0 . Choose N large enough so that you do not observe any change in the solution. 2. Numerically show that the equation d 2 c dx
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Unformatted text preview: 2 = 0 , ≤ x ≤ 1 , subject to the boundary conditions dc dx ± ± ± ± x =0 = 0 , dc dx ± ± ± ± x =1 = 0 , does not have a unique solution. 3. Show that a set of n vectors in R m must be linearly dependent if n > m . 1...
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This note was uploaded on 11/30/2010 for the course CHBE CHBE521 taught by Professor Chrisrao during the Spring '10 term at University of Illinois, Urbana Champaign.

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