On a class of non-linear differential equations with exact solution

Abstract

The present paper deals with a class of non-linear ordinary second-order differential equations with exact solutions. A procedure for finding the general exact solution based on a known particular one is derived. For illustration solutions of some non-linear equations occurred in many problems of solid mechanics are considered.

Keywords

• Non-linear differential equation
• general exact solution
• varying coefficient iteration method
• procedure for finding exact solution