Converting an initial value problem into a Volterra equation

Let $f$ and $K$ be such that the solution of the initial value problem

$$y"-3y'+2y=4\sin x,\quad y(0)=1, y'(0)=-2$$

satisfies the Volterra integral equation

$$y(x)=f(x)+\int_0^xK(x,t)\,y(t)\,dt.$$

Then which of the following statements are true?