Finding Integrating Factors of Some ODEs of Any Order
The method for obtaining rational integrating factors of some rational ODEs of any order based on examination of structures of denominator and numerator of the ODEs' right-hand-side is presented. The method embodied in relatively fast procedure koif_1 can determine the explicit expression of an integrating factor under the following restriction: the denominator of integrating factor is the product of co-factors each has at least one missing independent variable. The procedure koif_2 demonstrates potential of the method without the above-mentioned restriction. The experimentations with the procedures implemented in Maple confirm consistence and efficiency of proposed method.
