On rectangular systems of differential equations and their application to circuit theory

Abstract A system of differential equations A( d/d t) x = Bx+f, along with the initial condition x( 0 ) = k, is considered where A and B are m x n matrices. Generalized inverses of the matrix A are used to derive algebraic conditions for the existence and uniqueness of a solution. An example is presented to illustrate application of the results to circuit theory.