A semi-empirical differential equation for the local dynamic behavior of a twistor wire is combined with demagnetization equations to yield a set of equations that describe, to the first order, the dynamic switching of a twistor wire segment. The dynamic equation expresses

as a function of

, and

, contains several adjustable parameters, and has solutions which agree with most of the observed first-order magnetic switching phenomena. When coupled with the demagnetization equations described in an earlier paper, a complete solution of the average

, together with the demagnetizing field

is readily generated by standard numerical methods. A solution so generated appears to be realistic, though experimental verification has not been attempted.