I am tasked to write a program that solves Fredholm equation of the first kind using Tikhonov regularization method. So far, unfortunately, I've only found the general form of Fredholm equation of the first kind: $$\int_a^bK(x, s)u(s)ds = f(x)$$ Where $K$ and $f$ are supposed to be known and we must find $u$. Everything else seemed to be way beyond my understanding and generally not helpful for writing an algorithm.
As an example I am using the following equation: $$\int_0^{2\pi}cos(x + s)u(s)ds = \pi cos (x)$$ where $u(s)=cos (s)$