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This lecture covers the formulation of the forced oscillator regime in vibratory mechanics, focusing on the decoupling of the forced regime by decomposition and the diagonal matrix of modal rigidities. It explains the solution of the forced regime using Laplace or convolution integral methods, with a return to spatial coordinates and consideration of non-zero initial conditions. The lecture also delves into the concept of a generalized conservative approach of order n in the modal base, emphasizing clean pulsations and independence. Additionally, it explores the EPFL transfer function and the return to the physical base through a linear combination of modal solutions.