[C] Purity was asked by her friend Joyce from the School of Mathematics on how to evaluate V6 since Joyce knew that she is studying Numerical Methods. Purity told Joyce that the approximate solution of V6 can be obtained from the recurrence relation Xp+1 = (xn + ) .6 Xn (i) Prove this relation. (ii)Perform four iterations to Purity's formula starting with an initial guess of xo = 1.2. X1 = X2 =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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[C] Purity was asked by her friend Joyce from the
School of Mathematics on how to evaluate
V6 since Joyce knew that she is studying
Numerical Methods. Purity told Joyce that the
approximate solution of
V6 can be obtained from the recurrence relation
Antl =D 윽(m + )
Хn+1
.6
Xn
(i) Prove this relation.
(ii)Perform four iterations to Purity's formula
starting with an initial guess of xo = 1.2.
X1
X2 =
X3 =
= br
Transcribed Image Text:[C] Purity was asked by her friend Joyce from the School of Mathematics on how to evaluate V6 since Joyce knew that she is studying Numerical Methods. Purity told Joyce that the approximate solution of V6 can be obtained from the recurrence relation Antl =D 윽(m + ) Хn+1 .6 Xn (i) Prove this relation. (ii)Perform four iterations to Purity's formula starting with an initial guess of xo = 1.2. X1 X2 = X3 = = br
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