Solve using Newton-Raphson using xu as initial guess.y = 0.5x3 – 1.20x2 + 5.5x – 3, using xl = 0 and xu = 2, at absolute relative error of 2%y = 0.25e2x – 4.5cosx ,using xl = 0 and xu = 1.5, at absolute relative error of 1%

Newton Raphson Method Formula : xk+1 = xk - f xk f' xk

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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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Solve using Newton-Raphson using x_u as initial guess.

y = 0.5x³ – 1.20x² + 5.5x – 3, using x_l = 0 and x_u= 2, at absolute relative error of 2%
y = 0.25e^2x – 4.5cosx ,using x_l = 0 and x_u = 1.5, at absolute relative error of 1%

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