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Consider the system. Foxy = X=Y+1=C Eg(x,y) = y=x²³²-1=0 For X₁₂₁= 1.1 and 4₁₂₁ = 2.1, we have Don't round off Fc (₁4₁). Fy (x₁, 4₂₁) = 9x (₁41) = gy (x₁, 4₁ ) = 11 System (1) has a solution near the point (x, y₁) = (1.1, 2.1). Taking the initial approximations X₁ = 1.1 and y₁ = 3.1, and applying one iteration of Neuton's method, gives the improved approximation": X₂ X1 [4₁ LY₂ Here Ax₂ = + AX₂₁ A41 gne Ay₁ =

Consider the system. Foxy = X=Y+1=C Eg(x,y) = y=x²³²-1=0 For X₁₂₁= 1.1 and 4₁₂₁ = 2.1, we have Don't round off Fc (₁4₁). Fy (x₁, 4₂₁) = 9x (₁41) = gy (x₁, 4₁ ) = 11 System (1) has a solution near the point (x, y₁) = (1.1, 2.1). Taking the initial approximations X₁ = 1.1 and y₁ = 3.1, and applying one iteration of Neuton's method, gives the improved approximation": X₂ X1 [4₁ LY₂ Here Ax₂ = + AX₂₁ A41 gne Ay₁ =

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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Consider the system... Fosys = x=y+1=0 £g(x,y) = y=x²-1=0 For X₁₂₁₂= 1.1 and 4₁ = 2.1, we have Don't round off F₂₁ (x₁₁4₁₂₁₂) = Fy (α₁, 4₁) = 9x (2₂₁, 4₁)= gy (x₁, y₁) = System (1) has a solution near the point (x₁, y₁) (1.1, 2.1). Taking the initial approximations X₁ = 1.1 and y₁=2.1, and applying che iteration of Newton's method, gives the improved approximation": Xz 42 = Here Ax₂ = X1 Ya + AX₁ A41 anel Ay₁ =
Transcribed Image Text:Consider the system... Fosys = x=y+1=0 £g(x,y) = y=x²-1=0 For X₁₂₁₂= 1.1 and 4₁ = 2.1, we have Don't round off F₂₁ (x₁₁4₁₂₁₂) = Fy (α₁, 4₁) = 9x (2₂₁, 4₁)= gy (x₁, y₁) = System (1) has a solution near the point (x₁, y₁) (1.1, 2.1). Taking the initial approximations X₁ = 1.1 and y₁=2.1, and applying che iteration of Newton's method, gives the improved approximation": Xz 42 = Here Ax₂ = X1 Ya + AX₁ A41 anel Ay₁ =
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