On The Nield-Koznetsov Integral Function and Its Application to Airy’s Inhomogeneous Boundary Value Problem

In this work, we provide a solution to a two-point boundary value problem that involves an inhomogeneous Airy’s differential equation with a variable forcing function. The solution is expressed in terms of the recently introduced Nield-Koznetsov integral function, Ni(x), and another conveniently defined integral function, Ki(x). The resulting expressions involving these integral functions are then evaluated using asymptotic and ascending series.