Solving Differential Equations by Partial Integrating Factors

The field of Wave Theory is quite substantial. This field is considered something where an imagination is required to understand. We have unknown questions in this field that need research conducted; contributing to progression of partial differential equations and mathematics in general. The goal of this paper is to develop new concepts in Wave Theory; specifically towards the Navier-Stokes equation. Part of this concept development is showing velocity and pressure functions to exist before moving forward in the field. Imagine a theory existing prior to its manifestation. The missing concepts may have been found. Lets begin by recalling a concept from ordinary differential equations.

Keywords: Partial Differential Equations; Differential Equations; Integrating Factors; Partial Integrating Factors; Partial Integration by Parts; Partial Integration with Exponentials.