Contradiction with Lamentations 3:18
While Psalms 13:5 speaks of trust in mercy and salvation, Lamentations 3:18 expresses the loss of hope and strength.
Lamentations 3:18: And I said, My strength and my hope is perished from the LORD:
Contradiction with Job 30:20
Psalms 13:5 expresses trust in God's mercy, whereas Job 30:20 describes feeling abandoned and unheard by God.
Job 30:20: I cry unto thee, and thou dost not hear me: I stand up, and thou regardest me [not].
Contradiction with Habakkuk 1:2
Psalms 13:5 conveys trust in God's salvation, but Habakkuk 1:2 questions why God does not save or listen.
Habakkuk 1:2: O LORD, how long shall I cry, and thou wilt not hear! [even] cry out unto thee [of] violence, and thou wilt not save!