Q2: Use Newton's method with x(0) = 0 to compute x) for each of the followingnonlinear systems.4x – 20x, +3 + 8 = 0,|5x1x3+ 2x, – 5x2 + 8 = 0.Good Luck Ql: a) show that G = (g1, g2)' mapping D cR' into R° has a unique fixed pointb) Apply functional iteration to approximate the solution to within 10$, using the lo norm.G(x1, X2, X3) = (1 - cos(x).X2X3), 1 – (1 – x)\/4 – 0.05x3 + 0.15.x3, xỉ+ 0.1x3 – 0.01x2 + 1)';D = { (x1,X2, X3)' |-0.1 < x1 < 0.1, –0.1 < x2 < 0.3,0.5 < x3 < 1.1}

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Use Newton's method with x(0) = 0 to compute x) for each of the following nonlinear systems. 4x7 – 20x) + + 8 = 0, - r3+ 2x1 – 5x + 8 = 0.

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

Q2: Use Newton's method with x(0) = 0 to compute x) for each of the following
nonlinear systems.
4x – 20x, +
3 + 8 = 0,
|
5x1x3+ 2x, – 5x2 + 8 = 0.
Good Luck

Ql: a) show that G = (g1, g2)' mapping D cR' into R° has a unique fixed point
b) Apply functional iteration to approximate the solution to within 10$, using the lo norm.
G(x1, X2, X3) = (1 - cos(x).X2X3), 1 – (1 – x)\/4 – 0.05x3 + 0.15.x3, xỉ
+ 0.1x3 – 0.01x2 + 1)';
D = { (x1,X2, X3)' |-0.1 < x1 < 0.1, –0.1 < x2 < 0.3,0.5 < x3 < 1.1}

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