How can i linearise this equation in matlab? y=a*x*e^b*x

clc
clear all
close all
syms x y a b A B a0 a1     
%given dependent and independent datas
xdata=[0.1 0.2 0.4 0.6 0.9 1.3 1.5 1.7 1.8];
ydata=[0.75 1.25 1.45 1.25 0.85 0.55 0.35 0.28 0.18];
xlim([0 2])
ylim([0 1.8])
plot(xdata,ydata,'m')
grid on
xlabel('x')
ylabel('y')

y=@(X)     a*X*exp^(b*X)
Y=@(x)     a0+a1*x

K=@(X)      log(a)+log(X)+(b*X)
Y=log(y)
a0=ln(a1)
a1=b
x=X

[Rik]

This time I edited your question for you. Next time, please use the tools explained on this page to make your question more readable.

Also, what do you mean exactly by 'linearizing'? Have a read here. It will greatly improve your chances of getting an answer.

[James Tursa]

What is the context? I.e., what problem are you trying to solve and how do you expect "linearizing" (whatever that means in your context) to help?

Answer 1

[Alex Sha]

by linearization, the results are：

a: 9.66178585962543

b: -2.47330876570272

While if using nonlinear regression fitting directly, the results will be:

a 9.89736155015817

b -2.53186923697479

The method of "linearizing" is not recommended since the errors sometime are very large.