I would like to solve an equation of this type:
$$A-BK_0(\kappa r)-CK_1(\kappa r)=0\ \ \ \text{with}\ A,B,C,\kappa\in\mathbb{R},\ \text{known}$$
i.e. I am looking for the zeros of the l.h.s. I am not aware whether this kind of problem can be solved analytically in an explicit way. Can anyone help?