Use the Linear Finite-Difference Algorithm to approximate the solution to the following

Chapter 11, Problem 11.3.3

(choose chapter or problem)

Use the Linear Finite-Difference Algorithm to approximate the solution to the following boundaryvalue problems. a. y = 3y + 2y + 2x + 3, 0 x 1, y(0) = 2, y(1) = 1; use h = 0.1. b. y = 4 x y + 2 x 2 y 2 x 2 ln x, 1 x 2, y(1) = 1 2 , y(2) = ln 2; use h = 0.05. c. y = (x + 1)y + 2y + (1 x 2)ex , 0 x 1, y(0) = 1, y(1) = 0; use h = 0.1. d. y = y x + 3 x 2 y + ln x x 1, 1 x 2, y(1) = y(2) = 0; use h = 0.1.

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