It took them a while... maybe too long...
G'day,
My eMac, which presented with the "jibber" and hard-lock ups at the start of this year, was repaired free of charge in March, but only after I emailed Steve Jobs. Apple Australia ('s phone staff) weren't interested at all in the problem despite hundreds of people presenting with the problem.
Although a small amount of eMacs were crashing pre-06, and techs have reported seeing bulging caps on eMac logic boards that were not showing any symptoms in 05, it was in Dec/Jan05 that this problem really became apparent. It's thus taken Apple 6 months to respond, and in that time a great many first time Apple Mac owners have turned away in disgust, as the majority of those affected have simply been told to "save for a new computer" (I kid you not).
If you have an eMac built between Apr04-Feb05, whether it shows signs or not, I'd do as Asa suggested and look for badcaps under the RAM hatch. If you have an eMac pre-04 with these problems, unless the caps are the same batch (black/gold with the + on top), I doubt Apple will be interested.
Let's get this straight - it was a bad batch of caps, not necessarily cheap ones, that caused the problem. The same caps were used in the iMac G5, and for whatever reason in that machine these caps went bad within months, whereas in the eMac they "turn" after 18 months (you can nearly set your watch by it).
Yes, it's great that Apple have started this repair program - it's what a lot of people have been asking for for the past 6 months. But it's a shame they took so long to help "the little people", whilst quietly repairing school based eMacs with the problem, given that so many first timers have now been badly scarred by the experience.
cosmic