Consider the pipe system below. x1 100 x2 490 x5 H 220 x3 270 хб 380 280 The input and output flow rates are given in the diagram. a) Find the unknown flow rates x1,...,x7. 100 498 C1 C2 220 + $3 + $2 C3 + $1 0 ICA C5 36 0 7. 1 1 -1 0 1 0 1 280 0 where $1, $2 and $3 are free variables. If there are fewer than 3 free variables, fill in the unused column vectors with zeros. b) Find the unknown flow rates if x3 = x7 = 0. 01 22 04 بع 25 يع 206 ||
Consider the pipe system below. x1 100 x2 490 x5 H 220 x3 270 хб 380 280 The input and output flow rates are given in the diagram. a) Find the unknown flow rates x1,...,x7. 100 498 C1 C2 220 + $3 + $2 C3 + $1 0 ICA C5 36 0 7. 1 1 -1 0 1 0 1 280 0 where $1, $2 and $3 are free variables. If there are fewer than 3 free variables, fill in the unused column vectors with zeros. b) Find the unknown flow rates if x3 = x7 = 0. 01 22 04 بع 25 يع 206 ||
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the pipe system below.
x1
100
x2
490
x5
H
220
x3
270
хб
380
280
The input and output flow rates are given in the diagram.
a) Find the unknown flow rates x1,...,x7.
100
498
C1
C2
220
+ $3
+ $2
C3
+ $1
0
ICA
C5
36
0
7.
1
1
-1
0
1
0
1
280
0
where $1, $2 and $3 are free variables. If there are fewer than 3 free variables, fill in the unused column
vectors with zeros.
b) Find the unknown flow rates if x3 = x7 = 0.
01
22
04
بع
25
يع
206
||
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