We deal with aspects of the direct and inverse problems in the parameterized Picard-Vessiot (PPV) theory. It is known that, for certain fields, a linear differential algebraic group (LDAG) G is a PPV Galois group over these fields if and only if G contains a Kolchin-dense finitely generated group. We show that for a class of LDAGs G, including unipotent… (More)