Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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4.8.2 Еxample B
The system
(E – 3)uk + Vk = k,
%3D
(4.341)
3uk + (E – 5)vk = 4*
can be solved for up:
(E² – 8E + 12)uk :
1 – 4* – 4*.
(4.342)
The general solution of this equation is
c12* + c26k + 4*-1 – 4/sk – 19/25.
(4.343)
Uk =
From the first of equations (4.341), we obtain
´Vk = -(E – 3)uk + k
= c12k – 3c26* – 4k-1 _ 3/sk – 34/25.
(4.344)
Therefore, the general solution of the system given by equations (4.331) is
equations (4.343) and (4.344).
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Transcribed Image Text:4.8.2 Еxample B The system (E – 3)uk + Vk = k, %3D (4.341) 3uk + (E – 5)vk = 4* can be solved for up: (E² – 8E + 12)uk : 1 – 4* – 4*. (4.342) The general solution of this equation is c12* + c26k + 4*-1 – 4/sk – 19/25. (4.343) Uk = From the first of equations (4.341), we obtain ´Vk = -(E – 3)uk + k = c12k – 3c26* – 4k-1 _ 3/sk – 34/25. (4.344) Therefore, the general solution of the system given by equations (4.331) is equations (4.343) and (4.344).
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