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Key words: Artificial Neural Network (ANN) is used to solve the differential equation used in RF Engineering. Solution of Poisson's equation and wave equation are illustrated as example with different boundary conditions like pure Dirichlet, pure Neumann and mixed boundary condition. The formulation considers it as an optimization problem and therefore proposes solutions for both constrained and unconstrained optimization. The results are compared with the analytical results computed usingdoi:10.18000/ijisac.50028 fatcat:c62sbiex75cvxobrol27o774pu