Chiellini [1] considered this system, and showed that knowledge of n solutions, not on the same (n 2) -flat, reduced the solution to quadratures (this generalizes (I)). In [2] it was shown that knowledge of k suitably independent solutions, 1 < k < n, reduces the solution to k quadratures and the solution of a matrix-vector linear homogeneous system of size n k (this generalizes (II) via Chiellini's result, and also generalizes (I)). In [2] it was also shown that the complete solution of (2) can be written in terms of n + 1 solutions, no n of which lie on the same (n 2) -flat; no quadratures are needed (this generalizes (III)).