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The complex al-Tememe transformation is an extension of al-Tememe transformation, a tool used to solve both normal and partial differential equations. This shift may contribute to bridging certain gaps in physics and signal processing.In this thesis is to use a new integral transform which is called a complex al-Tememe transform to solve ordinary differential equations (ODE's) with variable coefficients which are subjected or non-subjected to initial conditions , as well as to find the derivation rule of a Complex al-Tememe transform.