ABSTRACT
In Chapters 2 and 3 certain types of differential equations have been discussed and methods for deriving their solutions have been described. When more general differential equations are considered it is not by any means obvious that they possess solutions. Spending a lot of time trying to solve a differential equation, which does not have a solution, can be very frustrating to say the least. Therefore, we shall give one theorem, which guarantees that a differential equation that satisfies its conditions possesses a solution, and say something about its ramifications. The proof of the theorem is given in the Appendix to this chapter as well as a method for finding the solution.
