Consider the equation ln(x + 3) = x2 a) Write a function f (x) that can be used to find the solutions of the above equation by using any root finding numerical methods.
Consider the equation ln(x + 3) = x2 a) Write a function f (x) that can be used to find the solutions of the above equation by using any root finding numerical methods.
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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Question
Consider the equation ln(x + 3) = x2
-
a) Write a function f (x) that can be used to find the solutions of the above equation by
using any root finding numerical methods.
-
b) Use the bisection and false position methods to find the solution of the equation over
[0, 2] . The precision is 0.01.
-
c) Use the Newton-Raphson method with initial guess 1.52 and precision 0.01.
- Please solve on paper
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