Computing isogeny covariant differential modular forms

We present the computation modulo p(2) and explicit formulas for the unique isogeny covariant differential modular form of order one and weight chi(-p-1,-p) called f(jet), an isogeny covariant differential modular form of order two and weight chi(-p)2(-p,-1,-1) denoted by f(jet)h(jet), and an isogeny covariant differential modular form h(jet) of order two and weight chi(1-p)2(,0,-1).