Titlebook: Analytical Methods in Applied Mathematics; Edmundo Capelas de Oliveira,José Emílio Maiorino Textbook 2025 The Editor(s) (if applicable) an

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The Method of Separation of Variables, also pay attention to the initial conditions and the boundary conditions. Once the general solution is known and the initial conditions and boundary conditions are satisfied, we have the complete solution of a given problem. In usual problems, the initial and/or boundary conditions are given, and w