I agree with the others, dial-up is too slow to support streaming videos.
But, if you are very, very patient, if is possible that the entire video may
eventually download to a cache area on your hard drive. Once that has
completed, it might be possibly to play it without delays.
However, if you are patient, you might be able to download a single video,
then play it from your hard drive. The download part of that process will
be painfully slow, since most You-Tube downloads are several Meg to several
tens of Meg in size. You do the math to determine how long the downloading
of a single You-Tube file might take.
Of course, you might get a friend with broadband to do the downloading for
you.
To download a file you will need a third-party helper application. For the
browser called Firefox there is a good, easy-to-use add-in called
Downloadhelper. Both Firefox and Downloadhelper are free.
http://www.mozilla.com/en-US/firefox/
http://www.downloadhelper.net/
If you search the web, you might a similar helper application for Internet
Explorer.
Once downloaded, you will then need a player for FLV-type files. A good
free one is FLVPlayer:
http://www.flvplayer.com/
Note that once you log-in to AOL, you can use any browser, not just the AOL
browser, which is really a shell on top of Internet Explorer.
If you have any option on getting broadband, consider doing it. Broadband
is, of course, more expensive than dial-up. But, usually it is only about
twice the price per month for something like 50 to 200 times the speed.
Further, before I switched to broadband, I found that I was spending hours
each month baby-sitting the downloading of patches for XP, antivirus, and
other software. Even shopping on-line was painful, waiting for each small
picture of each item in a web-catalog to appear. And, sometimes I timed-out
or got disconnected while attempting to execute an on-line purchase. In the
end I figured that my time was worth the extra money.
An alternative to having your own broadband connection, is to check whether
your local library has PCs with internet. If yes, then they also probably
have broadband. However, a library may impose some filters on what you can
view, and will probably have limits on how long one person uses a PC.
Another alternative is to find a friend with broadband and either use their
PC, or if you have a portable PC, try to add it to their network (i.e., via
a wireless router).