A new general polynomial transforms for solving ordinary differential equations with variable coefficients

In this paper, we introduce the definition of a new general integral transform which call it "A new general polynomial transform ". Also, we introduce properties, theorems, proofs and transforms of the Logarithmic functions, polynomials functions and other functions. As well as, we discuss how we can apply this integral transform and its inverse to solve the ordinary differential equations with variable coefficients.

Keywords:

Integral transforms , Inverse integral transforms , Polynomial transform , Inverse polynomial transform