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.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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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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