Just wanted to supplement DC's solution with photos for those who would like to see the project before attempting. For the record this fix worked perfectly and my unit is back to perfect working order with all my recordings intact.
Start by removing the top cover of the unit.
Working from the back of the unit you'll see the hard drive on the left.
Remove the two screws indicated by the red circles in the picture above. Then slide the cover plate forward and remove.
Two cables are connected to the hard drive. Left side is power and the black ribbon is the data connector. Both come off pretty easily. After removing cables lift out hard drive. Here's what you get.
Better view of cables after removing the drive. Remove plastic drive liner.
Remove the four screws indicated by the red circles in the picture above. Note the one at the top. (I missed this one for a few moments while putting it back together.) Remove drive mount.
Viola! You now see the burned out capacitors. Also circled are the four screw holes you just removed screws from and a cable that must be disconnected. (see next pic)
Gently pry up on the black plastic part of the cable mounted on the power board. You can see in this picture how I've just started to get it off a bit. You may have to pull on the latch in the center of the mounting. I did but I don't know if it was necessary.
On the back of the unit remove one screw just above the power plug. Then rock and twist and hold your tongue just right to get the power supply board out.
You'll see the capacitor numbers labeled on the circuit board on the front and...
on the back. Use a soldering gun to melt the solder on these four spots rocking the capacitors out of the holes as you do so. Just don't get solder over to any adjacent circuits.
You end up with nicely marked pos/neg info on the board.
Get your new capacitors from Radio Shack or other electronics store.
The ones suggested by DC are more heavy duty so they are bigger. I chose to lay them on their side so as to not raise the height of the board components. There is plenty of room to do so making my decision to do so a no brainer.
I leave the leads on the capacitors long until the capacitors are positioned and soldered in good shape.
Then clip the extra lead down to the solder with a wire cutter.
Thats it. reverse the directions to re-assemble the unit.
Hope the pictures helped. They always seem to help me prepare for such an adventure.