Contradiction with 2 Kings 2:2
While 2 Kings 2:6 has Elijah instructing Elisha to stay behind, in 2 Kings 2:2 Elijah also tells Elisha to tarry, yet Elisha insists on staying with him.
2 Kings 2:2: And Elijah said unto Elisha, Tarry here, I pray thee; for the LORD hath sent me to Bethel. And Elisha said [unto him, As] the LORD liveth, and [as] thy soul liveth, I will not leave thee. So they went down to Bethel.
Contradiction with 2 Kings 2:4
Similar to 2 Kings 2:6, Elijah tells Elisha to stay back, but Elisha reaffirms his commitment to follow him, contradicting the intention of Elijah's instruction.
2 Kings 2:4: And Elijah said unto him, Elisha, tarry here, I pray thee; for the LORD hath sent me to Jericho. And he said, [As] the LORD liveth, and [as] thy soul liveth, I will not leave thee. So they came to Jericho.