Receiving and Sending servers

Sorry if this is a dumb question – but I have had a dialup configured inbox for several years and just got a broadband connect different ISP. I have been receiving my email on the broadband connection from my dialup isp pop3 server. But I can’t send- I have been trying to point my smtp link to the broadband connection service provider but outlook express doesn’t seem to like it. CAn you have your pop3 on one server and smtp on another – If I create the same login name on the broadband account would that work?