Problem:-1)Use Newton-Raphson algorithm to find the approximate root of the following equationwith xo = -0.2(x+1)f(x) = sin x –(x-1)'%3D%3DFor two iterative steps (only find xX1,X2 ) Also, find the iterative error at each step, whereEn = |xn+1 – Xnl2)Use Newton-Raphson algorithm to find the approximate roots of the following equationf (x) = =+ cos(x) = 0%3Dwith considering xo=3, for three iterative steps, and find the absolute errors at each step.

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Problem:- 1)Use Newton-Raphson algorithm to find the approximate root of the following equation f(x) = sin x (x+1) with xo = -0.2 %3D %3D (x-1)' For two iterative steps (only find x1,X2 ) Also, find the iterative error at each step, where En = |Xn+1 – Xn]

Problem:- 1)Use Newton-Raphson algorithm to find the approximate root of the following equation f(x) = sin x (x+1) with xo = -0.2 %3D %3D (x-1)' For two iterative steps (only find x1,X2 ) Also, find the iterative error at each step, where En = |Xn+1 – Xn]

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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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Problem:-
1)Use Newton-Raphson algorithm to find the approximate root of the following equation
with xo = -0.2
(x+1)
f(x) = sin x –
(x-1)'
%3D
%3D
For two iterative steps (only find xX1,X2 ) Also, find the iterative error at each step, where
En = |xn+1 – Xnl
2)Use Newton-Raphson algorithm to find the approximate roots of the following equation
f (x) = =+ cos(x) = 0
%3D
with considering xo=3, for three iterative steps, and find the absolute errors at each step.

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