Problem 02: The solution of the Neumann wave problem Utt + Auxx = 0, 0 < x < T, t > 0
Ux(0,t) = 0, Ux(T,t) = 0 is u(x,t) = 4 + B' + Σ[An cos(Znt) + Bn sin(Znt)] cos(nx)
Find the particular solution that satisfies the initial conditions u(x,0) = x and ut(x,0) = 1