Form the system so that the first equation represents node A, the second equation node B, etc. Then take all the variable to one side such that all the constants are on one side and positive. From the equations form the required matrices and enter the appropriate values for A below. i i i i i i i i i i A = i i i i i i i i i i i i i i i
Form the system so that the first equation represents node A, the second equation node B, etc. Then take all the variable to one side such that all the constants are on one side and positive. From the equations form the required matrices and enter the appropriate values for A below. i i i i i i i i i i A = i i i i i i i i i i i i i i i
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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![Form the system so that the first equation represents node A, the second equation node B, etc. Then take all the variable to one
side such that all the constants are on one side and positive. From the equations form the required matrices and enter the
appropriate values for A below.
i
i
i
i
i
i
i
i
i
i
i
i
A =
i
i
i
i
i
i
i
i
i
i
i
i
i
i
i](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0750ee51-3131-4d16-ac4d-32586d17cc9b%2Faf623cab-4f15-4b16-bbfa-6d1f56b046c3%2Fb4s5eui_processed.png&w=3840&q=75)
Transcribed Image Text:Form the system so that the first equation represents node A, the second equation node B, etc. Then take all the variable to one
side such that all the constants are on one side and positive. From the equations form the required matrices and enter the
appropriate values for A below.
i
i
i
i
i
i
i
i
i
i
i
i
A =
i
i
i
i
i
i
i
i
i
i
i
i
i
i
i
![The accompanying figure shows known flow rates of hydrocarbons into and out of a network of pipes at an oil refinery.
200
E
X3
D
150
X1
X4
X5
X6
200
25
A
X2
B
175 C
(a) Set up a linear system whose solution provides the unknown flow rates.
X1
25
X 2
175
X 3
Find A so that A 7 = 3 where I
and y
X4
200
150
X5
200
X6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0750ee51-3131-4d16-ac4d-32586d17cc9b%2Faf623cab-4f15-4b16-bbfa-6d1f56b046c3%2Forituvd_processed.png&w=3840&q=75)
Transcribed Image Text:The accompanying figure shows known flow rates of hydrocarbons into and out of a network of pipes at an oil refinery.
200
E
X3
D
150
X1
X4
X5
X6
200
25
A
X2
B
175 C
(a) Set up a linear system whose solution provides the unknown flow rates.
X1
25
X 2
175
X 3
Find A so that A 7 = 3 where I
and y
X4
200
150
X5
200
X6
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