The main goal of the thesis is performing some investigations of functional equations as well as m-convex hull using the computer algebra system Maple. More precisely, it will focus on solving the class of linear functional equations of two variables and visualizing the animation of m-convex hull of the finite set of points P on the Cartesian plane. Both problems are investigated by using the concept of "mathability". Due to the developing of computer algebra system and Maple in particular, these problems can be handled in an effective way and become an important premise for further research in the area of functional equations as well as m-convexity model.