|Title||Integrating Factors for Second-order ODEs|
|Author(s)|| Edgardo S. Cheb-Terrab, 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 ODE-solver. A comparison between this implementation and other computer algebra ODE-solvers in tackling non-linear examples from Kamke's book is shown.
|Journal||Journal of Symbolic Computation|