标题：A method of solving <mml:math alttext="$y^{\left( k \right)} - f\left( x \right)y = 0$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mi>y</mml:mi><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>k</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msup><mml:mo>−</mml:mo><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math>
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1992
卷号：15
DOI：10.1155/S0161171292000206
出版社：Hindawi Publishing Corporation
摘要：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)).
