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Use the linear shooting method to approximate the solution to the following boundary-value problems. a. y"=-3y' + 2y + 2x +3, 0≤x≤ 1, y(0) = 2, y(1) = 1; use h = 0.1. b. y"=-4x-¹y' - 2x-2y + 2x-²1nx, 1 ≤ x ≤ 2, y(1) = -1, y(2) = In 2; use h = 0.05.

Use the linear shooting method to approximate the solution to the following boundary-value problems. a. y"=-3y' + 2y + 2x +3, 0≤x≤ 1, y(0) = 2, y(1) = 1; use h = 0.1. b. y"=-4x-¹y' - 2x-2y + 2x-²1nx, 1 ≤ x ≤ 2, y(1) = -1, y(2) = In 2; use h = 0.05.

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 linear shooting method to approximate the solution to the following boundary-value problems. a. y"=-3y' + 2y + 2x +3, 0≤x≤ 1, y(0) = 2, y(1) = 1; use h = 0.1. b._y"=-4x-¹y' - 2x-2y + 2x2 ln x, 1 ≤ x ≤ 2, y(1) = -1, y(2) = In 2; use h = 0.05.
Transcribed Image Text:Use the linear shooting method to approximate the solution to the following boundary-value problems. a. y"=-3y' + 2y + 2x +3, 0≤x≤ 1, y(0) = 2, y(1) = 1; use h = 0.1. b._y"=-4x-¹y' - 2x-2y + 2x2 ln x, 1 ≤ x ≤ 2, y(1) = -1, y(2) = In 2; use h = 0.05.
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