ABSTRACT

Once the solution of a differential equation is established, the next question would be how to obtain them? It is realized that very few differential equations can be solved explicitly. In the absence of a method to find explicit solutions of a differential equation, one has to investigate its nature. To examine the nature of solutions of a differential equation, one way is to find out suitable criteria in terms of known quantities. One such criterion is the behavior of solutions of a differential equation in the neighborhood of a point as time increases.