Taki transform and its applications

In this study, we introduced a new integral transformation called the Taki transform. We examined the properties of this transformation and demonstrated that all integral transformations, from the Laplace transform to the latest ones such as Emad-Falih transforms and AR-Transform, are special cases of this transformation. Furthermore, we demonstrated the ease to use this integral transform for solving differential equations with constant coefficients de first or second ordre. PACS numbers: 78.67.Wj, 05.40.-a, 05.60.-k, 72.80.Vp