Let A(y, Dy, ..., D'y) = 0 be an algebraic differential equation belonging to Strodt's class (D) [1, p. 5], and let M be a principal monomial [1, ?66] for A = 0. In search for principal solutions of A = 0 (i.e., solutions which are M) one substitutes y = M(1 + z). This almost always [2, ?121] leads to a differential equation P(z) = 0 in which P is an asymptotically quasilinear algebraic differential operator having a nonexceptional factorization sequence (WI, ***, W1) such that P is normal with respect to (W1, **, W, r) for a sufficiently large positive integer r. Strodt [2] has shown that P = 0 has at least one solution Z -< 1, and accordingly A = 0 has at least one solution Y= M(1 + Z) M; but if P is, in addition, uniformly quasilinear, then P = 0 has a u-parameter family of solutions -< 1 (and A = 0 has a u-parameter family of solutions M), where u is the number of indices i for which [IF] (Wi, 0