Resultant-factorization Technique for Obtaining Solutions to Ordinary Differential Equations

We propose a technique for obtaining solutions to ordinary differential equations. A system of differential equations sometimes has multiple solutions with distinct features. Prime ideal decomposition can be used for extracting the desired solution from these solutions. Solutions to algebraic equations contain many parameters, and in such a case, prime ideal decomposition is less tractable. As an alternative, we propose a resultant-factorization technique for extracting the desired solution. We also demonstrate the implementation of this technique and show its timing data.