Solved: Use the Linear Finite-Difference Algorithm to approximate the solution to the

Chapter 11, Problem 3

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Use the Linear Finite-Difference Algorithm to approximate the solution to the following boundaryvalue problems. a. y" = 3y'+ 2y-P 2x + 3, 0 < x < 1, y(0) = 2, y(l) = 1; use/? = 0.1. b. y" = -4x-l y' + 2x~2 y -Ix'2 Inx, 1 < x < 2, y(l) =-\, y(2) = In 2; use h = 0.05. c. y" = -(x + l)y' + 2y + (1 -x 2 )e-x , 0 (!) = y(2) = 0; use/?= 0.1

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