MySQL CASE for at opdatere flere kolonner

UPDATE tablename
SET col1 = CASE WHEN name = 'name1' THEN 5 
                WHEN name = 'name2' THEN 3 
                ELSE 0 
           END
 , col2 = CASE WHEN name = 'name1' THEN '' 
               WHEN name = 'name2' THEN 'whatever' 
               ELSE '' 
          END
;