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18. Let xo < x, < x2, let {yo, y, y2} be given. Find the polynomial q(x) with deg(q) < 2 and such that q(xo) = yo, q'(x1) = y1, q(x2) = y2 What condition, if any, is required in order to have q(x) be uniquely determined from the given interpolation conditions?

18. Let xo < x, < x2, let {yo, y, y2} be given. Find the polynomial q(x) with deg(q) < 2 and such that q(xo) = yo, q'(x1) = y1, q(x2) = y2 What condition, if any, is required in order to have q(x) be uniquely determined from the given interpolation conditions?

Advanced Engineering Mathematics
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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18. Let xo < x1 < x2, let {yo, y, y2} be given. Find the polynomial q(x) with deg(q) < 2 and such that q(xo) = yo, q'(x1) = y1, q(x2) = = y2 %3D What condition, if any, is required in order to have q(x) be uniquely determined from the given interpolation conditions?
Transcribed Image Text:18. Let xo < x1 < x2, let {yo, y, y2} be given. Find the polynomial q(x) with deg(q) < 2 and such that q(xo) = yo, q'(x1) = y1, q(x2) = = y2 %3D What condition, if any, is required in order to have q(x) be uniquely determined from the given interpolation conditions?
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