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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 1, Pages 183-188
doi:10.1155/S0161171292000206

A method of solving y(k)−f(x)y=0

P.J. O'Hara , R. Osteen and R.S. Rodriguez

Department of Mathematics, University of Central Florida, Orlando 32816, FL, USA

Abstract

An alternative method is shown for solving the differential equation y(k)−f(x)y=0 by means of series. Also included is a result for a sequence of functions {Sn(x)}n=1∞ which gives conditions under which limn(dkdxkSn(x))=dkdxk(limnSn(x)).