Coding in matlabNeed data table The equation x = ex has a solution x = a on the interval [0.5,0.6]. With kmax = 12, and tol = 1×10-8implement the Secant Method to obtain an approximation to a. In your solution include a copy of the SecantMethod script, a copy of the relevant data table, and state a conclusion.

Answered: The equation x = ex has a solution x =…

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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Coding in matlab Need data table

The equation x = ex has a solution x = a on the interval [0.5,0.6]. With kmax = 12, and tol = 1×10-8
implement the Secant Method to obtain an approximation to a. In your solution include a copy of the Secant
Method script, a copy of the relevant data table, and state a conclusion.

Expert Solution

Step 1: Introduction of the secant method

Secant method :

The method is used to find the approximate roots of non-linear equations, called the secant method.

$x subscript 2 equals x subscript 1 minus f left parenthesis x subscript 1 right parenthesis fraction numerator x subscript 1 minus x subscript 0 over denominator f left parenthesis x subscript 1 right parenthesis end subscript minus f left parenthesis x subscript 0 right parenthesis end fraction$

The equation is :

$x equals e to the power of negative x end exponent$ has solution $straight x equals straight alpha space space on space the space interval space left square bracket 0.5 comma 0.6 right square bracket.$

The tolerance $tol equals 1 cross times 10 to the power of negative 8 end exponent space space with space straight k subscript max equals 12$

The main aim is to find an approximate value of $alpha$ using the secant method script, a copy of the relevant data table, and state a conclusion.