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✓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
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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✓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
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
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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