I just changed the caps and the motherboard is functioning properly
again! Thanks Brian for your suggestion!
Changing the caps was relatively easy. If you have a good soldering
iron and a couple of extra hands, it would make life much easier. Be
careful not to break the circuit paths on the top of the circuit board
in addition to the bottom. Ideally, remove all the old solder when
removing the old cap (use either a solder sucker or desoldering braid.
Some flux on the tip of the soldering iron helps to thin the solder
out.
When you order the replacement caps (I got mine from Digikey), be sure
to get the physical dimensions right as well. A little patience, $20
in caps and my mother board is back in buisness!
Brian Campbell deserves all the props.  :o
As an aside, My PC with an MSI mobo also went on the fritz around the
same time but it’s caps were fine. The problem turned out to be
incompatible memory (after taking the whole thing apart and checking
each component!). The symptoms were very similar to my ECS mobo, so
there’s another thing to try if your PC is unstable.