sql - Update SQLite table based on data in another table

Question

I have two tables in SQLite which look like this

TABLE_X    
____________________
| id | C1 | C2 | C3 | C4 |
| 10 | 99 | 03 | 04 | 00 |
| 60 | 88 | 20 | 30 | 40 |


TABLE_Y
___________     
| id | C2 |
| 10 | 11 |
| 60 | 22 |

I am trying to write query to update records on Table X based on records in Table Y The condition for the updateis something like the following

update table_x
   set table_x.c1 = 100,
       table_x.c2 = table_y.c2
 where table_x.id = table_y.id

But when I try to do this I get an error message saying

NO such column: table_y.c2