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Given the following differential equation of second order y" + (1.4 - æ + 2.9)y' – 12.2 - z?y = - 8.8 · e-2 that satisfies the boundary conditions y(0.38) = 0.6 and y(0.71) = 1. Use the finite difference method to approximate the values of y(x) in the interval (0.38, 0.71] with the step size h = 0.11. Answer y(0.49) = 0.9517 x 0.81667795997529 y(0.6) z | 1.1049 x 0.93165677222108

Given the following differential equation of second order y" + (1.4 - æ + 2.9)y' – 12.2 - z?y = - 8.8 · e-2 that satisfies the boundary conditions y(0.38) = 0.6 and y(0.71) = 1. Use the finite difference method to approximate the values of y(x) in the interval (0.38, 0.71] with the step size h = 0.11. Answer y(0.49) = 0.9517 x 0.81667795997529 y(0.6) z | 1.1049 x 0.93165677222108

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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Given the following differential equation of second order y''+ (1.4 · x + 2.9)y' – 12.2 - æ?y = – 8.8 · e-z that satisfies the boundary conditions y(0.38) = 0.6 and y(0.71) = 1. Use the finite difference method to approximate the values of y(æ) in the interval [0.38, 0.71] with the step size h = 0.11. Answer y(0.49) z x 0.81667795997529 0.9517 y(0.6) z 1.1049 x 0.93165677222108
Transcribed Image Text:Given the following differential equation of second order y''+ (1.4 · x + 2.9)y' – 12.2 - æ?y = – 8.8 · e-z that satisfies the boundary conditions y(0.38) = 0.6 and y(0.71) = 1. Use the finite difference method to approximate the values of y(æ) in the interval [0.38, 0.71] with the step size h = 0.11. Answer y(0.49) z x 0.81667795997529 0.9517 y(0.6) z 1.1049 x 0.93165677222108
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