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In this study, we introduce and explore a delay differential equation thatlends itself to explicit solutions in the Fourier-transformed space. Throughthe careful alignment of the initial function, we can construct a highlyaccurate solution to the equation. These findings open new avenues forunderstanding delay systems, demonstrating the efficacy of Fourier transformtechniques in capturing transient oscillatory dynamics.

Solving a Delay Differential Equation through Fourier Transform