b. Given is the elliptic integral of second kind ?(?) = ∫1√1−????2 ??? ?/20Evaluate E(0.25) by applying appropriate interpolation formula?(0.20) = 1.6596, ?(0.22) = 1.6698, ?(0.24) = 1.6804,?(0.26) = 1.6912, ?(0.28) = 1.7024, ?(0.30) = 1.7139 b. Given is the elliptic integral of second kind E (t) = S"deV1-tsin? eEvaluate E(0.25) by applying appropriate interpolation formulaE (0.20) = 1.6596,E (0.22) = 1.6698,E (0.24) = 1.6804,%3DE(0.26) = 1.6912,E (0.28) = 1.7024,E (0.30) = 1.7139

Here we use Newton's Forward Difference formula because point of X are equally spaced. We know that…

Answered: b. Given is the elliptic integral of…

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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b. Given is the elliptic integral of second kind ?(?) = ∫
1
√1−????2 ?
?? ?/2
0
Evaluate E(0.25) by applying appropriate interpolation formula
?(0.20) = 1.6596, ?(0.22) = 1.6698, ?(0.24) = 1.6804,
?(0.26) = 1.6912, ?(0.28) = 1.7024, ?(0.30) = 1.7139

b. Given is the elliptic integral of second kind E (t) = S"
de
V1-tsin? e
Evaluate E(0.25) by applying appropriate interpolation formula
E (0.20) = 1.6596,
E (0.22) = 1.6698,
E (0.24) = 1.6804,
%3D
E(0.26) = 1.6912,
E (0.28) = 1.7024,
E (0.30) = 1.7139

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