Abstract

ON THE APPLICATION OF POWER SERIES METHOD TO THE SOLUTION OF A SECOND ORDER AUTONOMOUS AND NON-AUTONOMOUS AIRY?S DIFFERENTIAL EQUATIONS

E.O. Eze, 1 B.O. Osu1* and U.E. Obasi1

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In this paper, the existence of solution of autonomous and non-autonomous Airy?s equation were investigated using power series method. The differential equation for both autonomous and non-autonomous type have an ordinary point but no singular point. The result shows that the existence of ordinary point of the differential equation which is analytic at the point of definition confirms the existence of solutions. Furthermore, numerical simulations were used to describe the behaviour of the solution which extends some existing results in literature. Keywords: Power Series method; Autonomous; Non-autonomous; Airy?s Equation. Mathematics Subject Classification (2010): 34B15, 34C15, 34C25, 34K13

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