Differentiable Functions With Constant Wronskians

Alicia Nicole Wagner

University of New Haven

Ramesh Sharma

University of New Haven


Abstract

We first give simple examples of pairs of functions with constant Wronskians. Next, we consider three differentiable (not necessarily analytic) real functions such that their Wronskians, when taken in pairs, are constants, and show the following possibilities: (i) constants are zero, (ii) functions are linearly dependent through those constants.