Discrete Mathematics Problems and Solutions - [Course Code] - Semester

This document provides a comprehensive solution to a discrete mathematics assignment, addressing several key concepts within the field. The assignment focuses on solving difference equations with given initial conditions, including both homogeneous and non-homogeneous cases. It explores the application of generating functions to solve difference equations related to a self-replicating robot scenario. The solution also involves analyzing the behavior of a difference equation through a cobweb diagram and identifying initial values that lead to constant sequences. The document includes detailed steps, calculations, and explanations to illustrate the solution process, along with references to relevant mathematical literature.