%0 Journal Article %T On the generalized solutions of a certain fourth order Euler equations %A Liangprom, Amphon %A Nonlaopon, Kamsing %J Journal of Nonlinear Sciences and Applications %D 2017 %V 10 %N 8 %@ ISSN 2008-1901 %F Liangprom2017 %X In this paper, using Laplace transform technique, we propose the generalized solutions of the fourth order Euler differential equations \[t^4y^{(4)}(t)+t^3y'''(t)+t^2y''(t)+ty'(t)+my(t)=0,\] where \(m\) is an integer and \(t\in\mathbb{R}\). We find types of solutions depend on the values of \(m\). Precisely, we have a distributional solution for \(m=-k^4-5k^3-9k^2-4k\) and a weak solution for \(m=-k^4+5k^3-9k^2+4k,\) where \(k\in\mathbb{N}.\) %9 journal article %R 10.22436/jnsa.010.08.04 %U http://dx.doi.org/10.22436/jnsa.010.08.04 %P 4077--4084 %0 Journal Article %T Third order Euler method for numerical solution of ordinary differential equations %A M. A. Akanbi %J ARPN J. Eng. Appl. 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