ABSTRACT
An ordinary differential equation (ODE) is an expression that involves one or more functions defined with respect to one independent variable along with the derivatives of such functions while a partial differential equation (PDE) is concerned with a relationship involving an unknown function of several independent variables and their partial derivatives with respect to these variables. The utility of an ODE is limited because a physical system very often depends on more than one independent variable. On the other hand, with the presence of a multitude of independent variables (at least two), PDEs address a far wider audience of various branches of mathematical and theoretical physics.
