I didn't see this posted anywhere; apologies if someone already covered this.
"The iMac G5 Repair Extension Program for Video and Power Issues applies to first generation iMac G5 computers that have video or power-related issues as a result of a specific component failure. If your iMac G5 is exhibiting any of the symptoms listed below and your computer's serial number is within the noted ranges, your computer may be eligible for repair, free of charge. If Apple or an Apple Authorized Service Provider (AASP) determines that your iMac G5 computer is eligible as part of the program, the repair will be covered by Apple for up to two years from the original date of purchase even if your iMac G5 is out of warranty. This is a worldwide Apple program."
http://www.apple.com/support/imac/repairextensionprogram/
"The iMac G5 Repair Extension Program for Video and Power Issues applies to first generation iMac G5 computers that have video or power-related issues as a result of a specific component failure. If your iMac G5 is exhibiting any of the symptoms listed below and your computer's serial number is within the noted ranges, your computer may be eligible for repair, free of charge. If Apple or an Apple Authorized Service Provider (AASP) determines that your iMac G5 computer is eligible as part of the program, the repair will be covered by Apple for up to two years from the original date of purchase even if your iMac G5 is out of warranty. This is a worldwide Apple program."
http://www.apple.com/support/imac/repairextensionprogram/