A Maple/Aldor Package

for Solving 1st, 2nd and 3rd Order Homogeneous Linear Ordinary Differential Equations

This page demonstrates the joint use of the Aldor software bernina with some Maple code in order to solve 1st, 2nd and 3rd order linear ODEs with coefficients in

You can now compute the Galois group of an equation without computing a Liouvillian solution (see checkbox below). This is in particular useful for some 3rd order equations with large finite groups, for which computing the actual solution still takes a long time. This feature is complete for irreducible unimodular equations, for others you get partial information.