Thanks for the help. I just need a little clarification.

I understand almost everything put the part quoted above. I am unsure of how you got:

. Unfortuneately, I do not have a book because my professor thinks that his handouts in class are better than a textbook when his handouts do not have a single example of this method (or any examples

) or any more explanation that what I gave you in the problem...

We can choose any of the homogeneous solutions:

right?

These are not particular solutions (because they only satisfy the homogenoues equation) or not?