5. Given the wave equation
22u/0t^2 - 82u/c^2 * Ox^2, with the following initial/boundary conditions
du/dt (w,t = 0) = 0, (w,t = 0) = 0 Ot
u(s,t = 0) = b, u(c,t) = 0, b > 0, c > 0
Find the Laplace transform of the solution; call it: U(c,s). Then by inverting this Laplace transform, find the solution u(x,t) in terms of an infinite sum.