SOLUTIONS OF ONE PROBLEM OF A LINEAR HOMOGENEOUS DIFFERENTIAL EQUATION OF THE SECOND ORDER

This article is devoted to the study of the general solution of a linear homogeneous differential equation of the second order by lowering the equation order. Today, there are many methods for finding a general solution of a homogeneous and inhomogeneous second-order differential equation. In this article, a new method is proposed for finding a general solution of a homogeneous second-order differential equation by lowering the order of the differential equation using the formula of the two functions product derivative