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Solve the following non-linear equations: 2 100x₁ - 10x₂² + 5x3³ = 70 3x₁² + 10x₂-X₁X3 = 5 X₁X₂ + 4x₂ + 10x₂ = 12 a) Use Newton-Raphson Method b) Use Gauss-Jacobi Method c) Use Gauss-Seidel Method

Solve the following non-linear equations: 2 100x₁ - 10x₂² + 5x3³ = 70 3x₁² + 10x₂-X₁X3 = 5 X₁X₂ + 4x₂ + 10x₂ = 12 a) Use Newton-Raphson Method b) Use Gauss-Jacobi Method c) Use Gauss-Seidel Method

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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Solve the following non-linear equations: 2 100x₁ - 10x₂² + 5x3³ = 70 3x₁2 + 10x₂-X₁X3 = 5 X₁X₂ + 4x₂ + 10x3 = 12 a) Use Newton-Raphson Method b) Use Gauss-Jacobi Method c) Use Gauss-Seidel Method Assume initial values of 1 for all variables and a tolerable error of 0.001.
Transcribed Image Text:Solve the following non-linear equations: 2 100x₁ - 10x₂² + 5x3³ = 70 3x₁2 + 10x₂-X₁X3 = 5 X₁X₂ + 4x₂ + 10x3 = 12 a) Use Newton-Raphson Method b) Use Gauss-Jacobi Method c) Use Gauss-Seidel Method Assume initial values of 1 for all variables and a tolerable error of 0.001.
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