Solving the Delay Differential Equations by Using the SEJI Integral Transform

In this paper, the suggested transform namely (Sadiq- Emad- Jinan) integral transform and denoted by “SEJI” integral transform is applied to solve a linear second-order delay differential equation with the initial-value problem for the equation. Firstly, we introduce the form of this equation and provide examples of its use in a wide variety of scientific disciplines. Then the proposed transform is defined and describe its essential features as well as the value of the SEJI integral transform for derivatives. After that, proved a theorem for getting the precise answer by using “SEJI integral transform”. The theoretical results were illustrating by a concrete example as presented above. As a result, an appropriate conclusion was introduced for this work.