Two Degree non Homogeneous Differential Equations with Polynomial Coefficients

Nikos Bagis

Abstract

We solve some forms of non homogeneous differential equations using a new function ug which is integral-closed form solution of a non homogeneous second order ODE with linear coefficients. The non homogeneous part is an arbitrary function of L2(R). Using this function ug as a base we give in closed integral form solutions of several two degree DE