I can recieve email (mac email app), but I can't send!!!

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I can recieve email (mac email app), but I can't send!!!
I am running 10.4.8 and I cannot send email using apples mail app. I could send just fine before upgrading to 10.4.8. I am having this problem on two work computers, but not on my mac at home. The mail app. says it cannot connect to the outgoing server. I have no idea what to do. Any suggestions?
The two machines are a 1.25 G4 and a dual 800 G4. The Mac at home is a dual 867 G4.
Repaly
We need more info to help you with this. Do all the Macs have the same email account(s) set up in Mail's accounts preferences? What kind of account(s) are involved (like POP or IMAP)? Are the outgoing mail server settings identical for each account on each Mac? Is your ISP the same for home & work? Any proxies involved?
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