Consider a function f(a:) of the form f(w) = Acosh(km) + B sinh(ka:) for some real numbers A , B , and k . Find these real numbers A,B,k such that the following are all satisfied: (i) f\"(a:)=4f(w) . (ii) f(0)=3 , and (iii) f'(0)=2 - Hint: Plug the form of f(:c) into those conditions. You can then solve for A,B,k