Consider the following partial differential equation (a) Determine the type of the differential equation in dependence of m. When will the equation be elliptic, hyperbolic and parabolic? Please set...

Consider the following partial differential equation

(a) Determine the type of the differential equation in dependence of m. When will the equation be elliptic, hyperbolic and parabolic? Please set now the parameter m = 0. The resulting equation should now be solved together with the boundary conditions

(b) Determine first the general solution of the problem.

(c) Use the two above given boundary conditions in order to predict the solution of the problem.