Volume 35 • Number 4 • 2012   • Approximate Solutions of a Linear Differential Equation of Third Order Soon-Mo Jung Abstract. We will investigate the approximate solutions of the differential equation $$y'''(x) + (\alpha+\beta+\gamma) y''(x) + (\alpha\beta + \beta\gamma + \gamma\alpha) y'(x) + \alpha\beta\gamma y(x) = 0$$ under some conditions imposed on $\alpha$, $\beta$, $\gamma$, and on the domain of $y$, and we will compare the approximate solutions with the exact ones. 2010 Mathematics Subject Classification: Primary: 34A40, 39B82; Secondary: 26D10. Full text: PDF