|L||A differential operator|
|m||A positive integer|
Returns a matrix
such that the radical solutions of L are described by
where and the are arbitrary constants. If a second argument is present, then only the solutions such that are returned.
radicalSolutions returns only the solutions that are radical over , i.e. the solutions such that for some integer . It does not return any eventual solution that is radical over but not over .
We compute the radical solutions of
1 --> L := 16*D^2 + 3/x^2; 2 --> r := radicalSolutions(L); 3 --> tex(r);
This means that the radical solutions of (7) form a two-dimensional vector space over the constants generated by and .
Usage within MAPLE
> L := 16*D^2 + 3/x^2; > radicalSolutions(L, D, x);