ABSTRACT
We have devoted a major portion of this book to solving linear ordinary and partial differential solutions. For example, in the case of partial differential equations we introduced the method of separation of variables, which lead to a solution in terms of an eigenfunction expansion. However, this method is not the only one; in Section 11.6 we showed how a solution can be constructed using the superposition integral. Here we expand upon this idea and illustrate how a solution, called a Green’s function, to a differential equation forced by the Dirac delta function can be used in an integral representation of a solution when the forcing is arbitrary.
