Details:
Title  Integrating Factors for Secondorder ODEs  Author(s)  Edgardo S. ChebTerrab, Austion D. Roche  Type  Article in Journal  Abstract  A systematic algorithm for building integrating factors of the form mü(x,y), mü(x,y') or mü(y,y') for second order ODEs is presented. The algorithm can determine the existence and explicit form of the integrating factors themselves without solving any differential equations, except for a linear ODE in one subcase of the mü(x; y) problem. Examples of ODEs not having point symmetries are shown to be solvable using this algorithm. The scheme was implemented in
Maple, in the framework of the ODEtools package and its ODEsolver. A comparison between this implementation and other computer algebra ODEsolvers in tackling nonlinear examples from Kamke's book is shown.  Length  19  Copyright  Academic Press 
File 
 URL 
dx.doi.org/10.1006/jsco.1999.0264 
Language  English  Journal  Journal of Symbolic Computation  Volume  27  Number  5  Pages  501519  Year  1999  Month  April  Edition  0  Translation 
No  Refereed 
No 
