違える

1. ichidan verb, transitive to change; to alter
2. to mistake; to make a mistake
3. to fail to keep (e.g. one's promise)
4. to sprain (a muscle); to dislocate (e.g. one's neck)

たがえる

1. ichidan verb, transitive to change; to alter
2. to run counter to; to go against; to break (one's word)
3. to make a mistake (in); to err