A specific problem of the Fredholm integral equation is given as
$$\phi(x) = \pi x^2+\int_0^\pi3(0.5\sin(3x)-tx^2)\phi(t)\,dt$$
and the exact solution is ##\phi(x) = \sin 3x##.
Nothing comes to mind.
The Attempt at a Solution
I'm unsure how to approach solving this numerically. I can immediately tell that ##\phi(0) = 0##. I'm trying to think of a simple procedural way of numerically solving this equation. Something like an Euler scheme. Any ideas or where to start?