Backup all databases on Microsoft SQL Server. Make sure to update the @path before running.

backupDatabases.sql

DECLARE @name VARCHAR(50) -- database name  
DECLARE @path VARCHAR(256) -- path for backup files  
DECLARE @fileName VARCHAR(256) -- filename for backup  
DECLARE @fileDate VARCHAR(20) -- used for file name
 
-- specify database backup directory
SET @path = 'E:\DB_Backups\'  

-- specify filename format
SELECT @fileDate = CONVERT(VARCHAR(20),GETDATE(),112) 
 
DECLARE db_cursor CURSOR FOR  
SELECT name 
FROM master.dbo.sysdatabases 
WHERE name NOT IN ('master','model','msdb','tempdb')  -- exclude these databases

OPEN db_cursor   
FETCH NEXT FROM db_cursor INTO @name   
 
WHILE @@FETCH_STATUS = 0   
BEGIN   
       SET @fileName = @path + @name + '_' + @fileDate + '.BAK'  
       BACKUP DATABASE @name TO DISK = @fileName  

       FETCH NEXT FROM db_cursor INTO @name   
END

CLOSE db_cursor   
DEALLOCATE db_cursor

backupLogs.sql

DECLARE @name VARCHAR(50) -- database name   
DECLARE @path VARCHAR(256) -- path for backup files   
DECLARE @fileName VARCHAR(256) -- filename for backup   
DECLARE @fileDate VARCHAR(20) -- used for file name  

SET @path = 'E:\DB_Backups\'   

SELECT @fileDate = CONVERT(VARCHAR(20),GETDATE(),112)  
   + '_'  
   + REPLACE(CONVERT(VARCHAR(20),GETDATE(),108),':','') 

DECLARE db_cursor CURSOR FOR   
SELECT name  
FROM master.dbo.sysdatabases  
WHERE name NOT IN ('master','model','msdb','tempdb')  
   AND DATABASEPROPERTYEX(name, 'Recovery') IN ('FULL','BULK_LOGGED') 

OPEN db_cursor    
FETCH NEXT FROM db_cursor INTO @name    

WHILE @@FETCH_STATUS = 0    
BEGIN    
       SET @fileName = @path + @name + '_' + @fileDate + '.TRN'   
       BACKUP LOG @name TO DISK = @fileName   

       FETCH NEXT FROM db_cursor INTO @name    
END    

CLOSE db_cursor    
DEALLOCATE db_cursor