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

Dao Huy Bich, Nguyen Dang Bich

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

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DOI: https://doi.org/10.15625/0866-7136/34/1/424 Display counter: Abstract : 33 views. PDF : 26 views.

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