You have constructed a model to describe the displacements of a vibrating circular membrane (radius R) clamped along its circumference. If its initial displacement is f(r) and its initial velocity is g(r), the boundary value problem to be solved for the displacement u(r,t) is: value d for the displacement ur.t)is:, , 00 at? u(R,t) 0 fort > 0, u(r,o) -h(r) and (r,0)-g Ou for 0