  In this paper we provide new examples of geometrically trivial strongly
minimal differential algebraic varieties living on nonisotrivial curves over
differentially closed fields of characteristic zero. These are systems whose
solutions only have binary algebraic relations between them. Our technique
involves developing a theory of $\tau$-forms, and building connections to
deformation theory. This builds on previous work of Buium and Rosen. In our
development, we answer several open questions posed by Rosen and
Hrushovski-Itai.
