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Solve the following system of nonlinear equation using Newton's Method. (you can use MS Excel) f₁(x) = 0.5x₁ + x₂ +0.5x3 x6 = 0 X7 f₂(x)= x3 + x4 + 2x5 0 f3(x) = x₁ + x₂ + x5 X7 f(x) = -28837x₁ - 139009x2 - 78213x3 + 18927x4 +8427x5 + 2 X7 1 = 0 fs(x) = x₁ + x₂ + x3 + x4 + x5-1=0 f(x) = 400x₁x3-1.7837x105x3x5 = 0 f(x)= x₁x3 - 2.6058x4 = 0 13492 x7 10690 X6 X7

Solve the following system of nonlinear equation using Newton's Method. (you can use MS Excel) f₁(x) = 0.5x₁ + x₂ +0.5x3 x6 = 0 X7 f₂(x)= x3 + x4 + 2x5 0 f3(x) = x₁ + x₂ + x5 X7 f(x) = -28837x₁ - 139009x2 - 78213x3 + 18927x4 +8427x5 + 2 X7 1 = 0 fs(x) = x₁ + x₂ + x3 + x4 + x5-1=0 f(x) = 400x₁x3-1.7837x105x3x5 = 0 f(x)= x₁x3 - 2.6058x4 = 0 13492 x7 10690 X6 X7

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. Solve the following system of nonlinear equation using Newton's Method. (you can use MS Excel) x6 f₁(x) = 0.5x₁ + x₂ +0.5x3- = 0 f₂(x) = x3 + x4 + 2x5 f3(x) = x₁ + x₂ + x5 f4(x) = -28837x₁ - 139009x2 - 78213x3 + 18927x4 +8427x5 + 2 -1=0 X7 1 -1=0 fs(x) = x₁ + x₂ + x3 + x4 + x5-1=0 400x₁x2-1.7837x105x3x5 = 0 f(x) = f(x) = x₁x3 - 2.6058x4 = 0 13492 x7 106906 = 0 x7
Transcribed Image Text:2. Solve the following system of nonlinear equation using Newton's Method. (you can use MS Excel) x6 f₁(x) = 0.5x₁ + x₂ +0.5x3- = 0 f₂(x) = x3 + x4 + 2x5 f3(x) = x₁ + x₂ + x5 f4(x) = -28837x₁ - 139009x2 - 78213x3 + 18927x4 +8427x5 + 2 -1=0 X7 1 -1=0 fs(x) = x₁ + x₂ + x3 + x4 + x5-1=0 400x₁x2-1.7837x105x3x5 = 0 f(x) = f(x) = x₁x3 - 2.6058x4 = 0 13492 x7 106906 = 0 x7
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