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Use the Piecewise Linear Algorithm to approximate the solution to the boundary-value problem y" + cos —х, 0<х< 1, у(0) — У(1) — 0 16 0

Use the Piecewise Linear Algorithm to approximate the solution to the boundary-value problem y" + cos —х, 0<х< 1, у(0) — У(1) — 0 16 0

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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Use the Piecewise Linear Algorithm to approximate the solution to the boundary-value problem y" + cos —х, 0<х< 1, у(0) — У(1) — 0 16 0 <x < 1, y(0) = y(1) = 0 V = 4 4 using xo = 0, x1 0.3, x2 0.7, x3 = 1. Compare your results to the actual solution y(x) = -| cos x – * sin x+ cos x.
Transcribed Image Text:Use the Piecewise Linear Algorithm to approximate the solution to the boundary-value problem y" + cos —х, 0<х< 1, у(0) — У(1) — 0 16 0 <x < 1, y(0) = y(1) = 0 V = 4 4 using xo = 0, x1 0.3, x2 0.7, x3 = 1. Compare your results to the actual solution y(x) = -| cos x – * sin x+ cos x.
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