✓2.18 Find the system of equations resulting from starting with h₁,1x1 + h1,2x2 + h1,3x3 = d₁ h2,1x1 + h2,2x2 + h2,3x3 = d₂ and making this change of variable (i.e., substitution). X1 = 91,141 +91,2Y2 X2 = 92,1Y1 + 92,2Y2 X3 = 93,191 +93,292
✓2.18 Find the system of equations resulting from starting with h₁,1x1 + h1,2x2 + h1,3x3 = d₁ h2,1x1 + h2,2x2 + h2,3x3 = d₂ and making this change of variable (i.e., substitution). X1 = 91,141 +91,2Y2 X2 = 92,1Y1 + 92,2Y2 X3 = 93,191 +93,292
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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Question
Please show step by step and explain
![✓2.18 Find the system of equations resulting from starting with
h₁,1x1 + h1,2x2 + h1,3x3 = d₁
h2,1x1 + h2,2x2 + h2,3x3 = d₂
and making this change of variable (i.e., substitution).
X1 = 91,141 +91,2Y2
X2 = 92,1Y1 + 92,2Y2
X3 = 93,191 +93,292](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F892e817a-9b32-4eeb-b8fc-5dd7ffde6479%2Ff176ed32-a0d6-43e1-8317-60f5e4868f1d%2F5pzdxmk_processed.png&w=3840&q=75)
Transcribed Image Text:✓2.18 Find the system of equations resulting from starting with
h₁,1x1 + h1,2x2 + h1,3x3 = d₁
h2,1x1 + h2,2x2 + h2,3x3 = d₂
and making this change of variable (i.e., substitution).
X1 = 91,141 +91,2Y2
X2 = 92,1Y1 + 92,2Y2
X3 = 93,191 +93,292
Expert Solution
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Step 1
The system of equations in x1 , x2 , and x3 is given as
h1,1x1 + h1,2x2 + h1,3x3 = d1 . . . . . . . . . (1)
h2,1x1 + h2,2x2 + h2,3x3 = d2 . . . . . . . . . (2)
We are also given the relations
x1 = g1,1y1 + g1,2y2 . . . . . . . . (3)
x2 = g2,1y1 + g2,2y2 . . . . . . . . (4)
x3 = g3,1y1 + g3,2y2 . . . . . . . . (5)
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