The equation e* = 10(x² - 1) has two positive roots and one negative root. (a) Find all three roots correct to two decimal figures by writing the equation in the form x = g(x) in three different ways and performing the iteration procedure x+1 = g(x) for cach. Show the whole sequence of approximations generated by the method for each of the three cases. (b) For each of the roots. verify that the convergence condition is satisfied at the root.
The equation e* = 10(x² - 1) has two positive roots and one negative root. (a) Find all three roots correct to two decimal figures by writing the equation in the form x = g(x) in three different ways and performing the iteration procedure x+1 = g(x) for cach. Show the whole sequence of approximations generated by the method for each of the three cases. (b) For each of the roots. verify that the convergence condition is satisfied at the root.
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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Please answer question B
Transcribed Image Text:The equation
e* = 10(x² - 1)
has two positive roots and one negative root.
(a) Find all three roots correct to two decimal figures by writing the equation in the form
x = g(x)
in three different ways and performing the iteration procedure
x+1 = g(x)
for cach. Show the whole sequence of approximations generated by the method for each of the
three cases.
(b) For each of the roots. verify that the convergence condition is satisfied at the root.
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