Abdi, Tadesse (PhD)Tadiyos, Gashawbeza2020-12-092023-11-042020-12-092023-11-042016-03-21http://etd.aau.edu.et/handle/123456789/23913In this paper, we visit a distributional solution of the di erential equation ty(n)(t) + my(n􀀀1)(t) + ty(t) = 0 where m and n are any integers with n 2 and t 2 R using Laplace transform technique. We nd that the types of Laplace transformable solution in the space of right-sided expiration depend on the relationship between m and n. Precisely, we have a distributional solution provided m n; and a weak solution otherwise.enCoexistenceDistributionalRational SolutionSome Linear Ordinary DifferentialEquationsThesis