how to connect to mysql from another computer

Hi all,

I'm new at this, so please help.

I've successfully installed mysql on computer A (os = XP Pro) & have the service running (c:\mysql).
On computer B (os = win 2000), I mapped to drive to computer A (drive q= //winxp/mysql)
My application was written in java is on computer B would like to connect to mysql on computer A.
Within my application I tried to connect to mysql using jdbc (jdbc_connection=jdbc\:mysql\://192.168.0.10/database_name)
but I can't seem to make a connection. Am I missing something here. Please help.

ps: 192.168.0.10 is the ip address of computer A


thanks in advance