Your ISP doesn't change your IP address, really.
If the ISP doesn't experience a problem (ie, if they don't have to restart the DHCP servers), then you'll keep the same IP address if you use your machine/modem often enough so that your IP 'lease' doesn't expire.
When you get a dynamic address, you have a 'lease time' on it. It's generally a day, 2 days, week, etc. If your modem/computer hasn't been active within that lease time, then you forfeit the address and it goes back to the pool. ISPs will adjust the time according to how many subcribers and IPs they have in the pool. They'll have a short lease time if they're 'tight' on IP addresses for the number of subcribers they have.
Under Windows 2000 (and probably XP) you can see your lease time via 'running' the command: "ipconfig /all"
By policy windows will 'renew' the lease when it's halfway expired. That way you'll tend to keep the same IP.
So, if the ISP doesn't restart their DHCP servers and you're not off-line (or if your modem doesn't get rebooted) for the entire lease period, you should retain your IP address.
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