Here we used this
method for solving systems of differential equations. It is demonstrated that
this method has the ability of solving systems of both linear and non-linear
differential equations. In Example 1, the system was a linear system and we
derived the exact solutions. There is another linear example in which we ob-
tained an exact solution. For non-linear systems, we usually derive a very good
approximations to the solutions, as in Example 2, and some times the exact
solutions can be found, as in Example 3. Extension of the method for solving