What you want to do is a bad idea. It would require you to embed your username and password in the app. This is a very bad idea as it might be possible to reverse engineer your APK and get the username and password to this publicly facing mysql server which may contain sensitive user data.
I would suggest making a web service to act as a proxy to the mysql server. I assume users need to be logged in, so you could use their username/password to authenticate to the web service.