I can see that Nichicon makes a 100uf 10V bi-polar electrolytic (6.3mm x 12.5mm), part number UVP1A101MED.
I looked again, and I don't think that the UVP1A101MED capacitor would be a good choice because it has a high-ESR ... whoops!
I ordered these. If you solder it horizontally, I think they will be appropriate ... Size(mm) L 16 x D 10

Thanks for posting that picture, the Nichicon MUSE series that you found (the UES part numbers) seems like it should be a great choice, even though they are a bit larger than the original Philips capacitor.
I look forward to hearing if you have any problems with physically fitting the new capacitor in that location.
For anyone whose distributor carries them, alternatives in the same Nichicon MUSE series are ...
UES0J101MPM 100uF 6.3V, 8.9mm x 11.5mm
UES1A101MPM 100uF 10.0V, 10.0mm x 12.5mm
UES1E101MPM 100uF 25.0V, 10.0mm x 16.0mm
Thanks. On my EP it was 6.3V, but of course these are prone to failure and might have been replaced in the past, so it might not have been the original original!
Well, the motherboard schematics do show a 6.3V rating for the 100uF C9 capacitor, and from the voltage readings that you took, a 6.3V capacitor *should* be fine (with my limited understanding of safety margins).
Now the 100uF capacitors at C11 and C12 are there to help smooth out the +5V power supply lines, and if you apply the normal x2 safety-factor for those, then I can understand why 10V capacitors were used for C11 and C12 instead of the 6.3V capacitors on the schematic.
Then from an ease-of-manufacturing standpoint, if they were buying 10V capacitors for C11 and C12, they would just use the same 10V capacitor for C9, even if it didn't need that rating.
I guess that we won't really know for sure until someone is brave enough to try a 6.3V bi-polar for C9!
