Closing Database Connection

I have an all purpose Database Class. There are two methods in this
class: DBConnect() and DBClose().

(DBConnect)----------------------------------------------------------
package Program;

import java.sql.*;

public class Database{

    public void DBConnect(){
    Connection conn = null;

           try
           {
               String userName = "root";
               String password = "passwor";
               String url = "jdbc:mysql://localhost/program";
               Class.forName ("com.mysql.jdbc.Driver").newInstance ();
               conn = DriverManager.getConnection (url, userName,
password);
               System.out.println ("Database connection established");
           }
           catch (Exception e)
           {
               System.err.println ("Cannot connect to database
server");
           }

    }

    public void DBClose(String conn){
        try
                   {
                       conn.close ();
                       System.out.println ("Database connection
terminated");
                   }
                   catch (Exception e) { /* ignore close errors */ }

    }
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I can connect to the database just fine. My question, is that when
calling the DBClose() method, how do I pass along the connection I
created when I called DBConnect()? I have a sample program setup that
opens the database connection and then tries to close it.

(DBClose)---------------------------------------------------------------
package Program;

public class Processing {
    public void Login(String Username, String Password){

        Database dbconnection = new Database();

        dbconnection.DBConnect();
        //Database operations go here
        dbconnection.DBClose(conn);

    }
}
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