Abstract
This paper is concerned with the phenomenology of visco-elasticity approached by means of differential equations. Three results are given which are new and not generally known to workers in the field.1. The geometrical meaning of 1st order differential equations is given in the context of mechanical behavior of fibers.This frees the researcher of an obligation to interpret his equations in terms of springs and dash pots. 2. Operational methods are given for determining if any 1st order differential equation (linear or not) can provide an adequate description for a particular fiber. 3. For cases where a differential equation is satisfactory an operational method is given for contructing it directly in the laboratory rather than attempting to fit experimental trajectories to solutions of assumed differential equations.
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