Consider: (PDE) Pu Ju +2- +u=2² at 01² 20²u 81² (0, f) = 0. (BC1) ди ər du (BC2) ər Classify all product solutions of the form u(z,t) = X(z)T(t) #0 satisfying (PDE)-(BCT)-(BC2) (a,t) = 0. 00, t> 0. t>0.

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