As stated before, the newly develop

As stated before, the newly developed methods for solving integral equa-
tions determine the solution in a series form. Unlike calculus where we deter-
mine the Taylor series for functions and the radius of convergence for each
series, it is required here that we determine the exact solution of the integral
equation if we determine its series solution. In what follows, we will discuss
some examples that will show how exact solution is obtained if the series
solution is given. Recall that the Taylor series exists for analytic functions
only.