Use Newton 's method with x(0) 0 to compute x(2) for each of the following nonlinear systems a b sin(4 Iuml x1 x2) 2x2 x1 0, c x1(1 x1) 4x2 12, (x1 2)2 (2x2 3)2 25 d 5x21 x22 0, x2 0 25(sin x1 cos x2) 0 4x2 20ri TX5 8 0, 1x1x2 2x1 5x2 8 0 4...

Newtons method gives the followin ...

Use Newton's method with x(0) = 0 to compute x(2) for each of the following nonlinear systems.

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Use Newton's method with x(0) = 0 to compute x(2) for each of the following nonlinear systems.
a.

b. sin(4Ï€ x1 x2) ˆ’ 2x2 ˆ’ x1 = 0,

c. x1(1 ˆ’ x1) + 4x2 = 12,
(x1 ˆ’ 2)2 + (2x2 ˆ’ 3)2 = 25.
d. 5x21 ˆ’ x22 = 0,
x2 ˆ’ 0.25(sin x1 + cos x2) = 0.

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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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Question Posted: Mar 22, 2016 03:07 AM

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Use Newton's method with x(0) = 0 to compute x(2) for each of the following nonlinear systems.

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4x2-20ri +TX5 + 8 = 0, 1x1x2 +2x1-5x2 + 8 = 0. 4π

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