7. Use Newtons method with the given X(0) to compute X(2) for each of the following nonlinear systems: (a) sin(47x122) – 2x2 – x1 = 0 - 1 ) (e2r1 – e') + 4e'a} – 2e'x1 = 0 X(0) = (0,0)* (b) xỉ + xịx2 – x1x3+6 = 0 e#1 + e*2 – x3 = 0 x3 – 2x1x3 = 4 х0) — (-1,-2, 1)*.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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7. Use Newtons method with the given X(0) to compute X(2) for each of the
following nonlinear systems:
(a) sin(47x122) – 2x2 – x1 = 0
4т — 1
() (e2 – e') + 4e'g} – 2e'x1 = 0
X(0) = (0,0)
(b) xị + x7x2 - x1x3 + 6 = 0
e#1 + e"2 – x3 = 0
x3 – 2x103 = 4
X(0) = (-1, –2, 1)*.
Transcribed Image Text:7. Use Newtons method with the given X(0) to compute X(2) for each of the following nonlinear systems: (a) sin(47x122) – 2x2 – x1 = 0 4т — 1 () (e2 – e') + 4e'g} – 2e'x1 = 0 X(0) = (0,0) (b) xị + x7x2 - x1x3 + 6 = 0 e#1 + e"2 – x3 = 0 x3 – 2x103 = 4 X(0) = (-1, –2, 1)*.
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