A REVIEW OF OPERATOR METHODS FOR SOLVING DIFFERENTIAL EQUATIONS

Abstract

In the article, during the review of operator methods for solving differential equations, the Heaviside operator, the local d-operator, the linear differential operator, and the operator solution of differential equations of non-integer order are considered. It is argued that the operator method is ideally suited for solving linear differential equations and that many practical problems can be solved using this method. It is shown that this is the Heaviside operator method, which helps to simplify the solution of ordinary differential equationфs and partial differential equations, and that the expression of the operator D is written in an expanded form in sufficient volume, but the derivatives and integrals of the cases under consideration can be expressed in a small form if they are written in one equality.. It is written about the brief properties of a linear differential operator and the solution of a non-integer differential equation found by the operator method is presented.