The http://kr.cs.ait.ac.th/~radok/math/mat6/startdiall.htm [Broken] (it seems to be down at the moment) has answers/hints to selected problems if that's not in your book already.
yea ill check it out but from the looks of it that is the original edition of the book, the version i got is by fritz and courant.
I checked them out, the two books differ in exercises. Unfortunately that solution manual is not very helpful.
A good amount of the exercises in Courant's original book are in his new book with John Fritz. Some of the exercises are also ordered differently. Hopefully that website comes back up because that was my only online link to that book too.