A SymPy derivation of Branin’s solution of uniform lossless transmission lines

Deriving Branin’s solution of uniform lossless transmission lines can be automated by using symbolic analysis and rewrite rules. This paper aims to show the derivation steps using SymPy, an application of this automation in SymPy on an electric circuit containing a uniform lossless transmission line, and the already existing applications of Branin’s equations in other software.