The equation e² = 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 each. Show the whole sequence of approximations generated by the method for each of the three cases.
The equation e² = 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 each. Show the whole sequence of approximations generated by the method for each of the three cases.
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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
Transcribed Image Text:The equation
e² = 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 each. Show the whole sequence of approximations generated by the method for each of the
three cases.
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