How can I solve the following integral equation

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parham kianian
parham kianian on 20 Apr 2020
Commented: Ameer Hamza on 21 Apr 2020
How can I solve the following integral equation in MATLAB numerically:
where:

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Answers (1)

Ameer Hamza
Ameer Hamza on 20 Apr 2020
Edited: Ameer Hamza on 20 Apr 2020
Try this
A = @(t) t.^2; % equation of A w.r.t. t. A(t) = t^2 for example
% f as function of t and w
f = @(t,w) A(t).*cos(w.*t) + integral(@(tau) w.*A(tau).*sin(w.*tau), 0, t);
Evaluate it like this
t = 10;
w = 2;
y = f(t,w);
>> y
y =
8.8335
  2 Comments
parham kianian
parham kianian on 21 Apr 2020
Function A(t) is unknown not f(t). I need to evaluate A(t).

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