Question

in matlab

4.1.6 Lambert's W function is defined as the inverse of xe. That is, y-W(x)if and only if x = ye, Write a function y=1ambertW(x) that computes W using fzero. Make a plot of W(x) for Osx34 it is a simple

Answer 1

MATLAB Script (Run it as a script, not from command window):

close all
clear
clc

x = linspace(0,4,100);
y = zeros(size(x));
for i = 1:length(x)
y(i) = lambertW(x(i));
end
plot(x,y), xlabel('x'), ylabel('y = W(x)')
title('Lambert Function')

function y = lambertW(x)
func = @(y) x - y*exp(y);
y0 = 0;
y = fzero(func, y0);
end

Plot:

Lambert Function 1.4 1.2 0.8 0.6 0.4 0.2 4 3.5 2.5 3 2 1.5 0.5