Al-Zughair transform is one of the great tools for solving ordinary differential equations in addition to partial differential equations. This transformation is unique in solving a new type of equation called Ali equation, which will lead to the opening of new horizons in this field, especially in physical, mechanical and other applications. And that this conversion will have a large role in the completion of some of the integral transforms, which could not solve some of the types of ordinary equations, especially that the transform has been expanded and used this expansion to solve the equation of Euler.