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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.
 Spring '10
 ChrisRao

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