Find the non-zero e-values and corresponding e-functions of a linear integral operator A with kernel

$\displaystyle K(x,y)=(x^2+\frac{1}{x})y, 1 \leq x,y \leq 2$.This operator acts on the space of continuous functions

$\displaystyle L={f(x),0 \leq x \leq 1}$ in the usual way;

(Af)(x)=(int0..1)K(x,y)f(y)dy.

No one knows how to do it even at the tutorials, and the lecturer don't wanna know lol. Help please