Contradiction with Ecclesiastes 2:17
This verse expresses hatred for life due to toil and trouble, in contrast to Psalms 13:6, which speaks of singing and trust in the Lord's dealings.
Ecclesiastes 2:17: Therefore I hated life; because the work that is wrought under the sun [is] grievous unto me: for all [is] vanity and vexation of spirit.
Contradiction with Job 30:20
Job describes calling for help without an answer, which contradicts the idea of rejoicing in the Lord's salvation as in Psalms 13:6.
Job 30:20: I cry unto thee, and thou dost not hear me: I stand up, and thou regardest me [not].
Contradiction with Lamentations 3:8
The feeling of prayers being shut out contrasts with the joyful trust and singing to the Lord in Psalms 13:6.
Lamentations 3:8: Also when I cry and shout, he shutteth out my prayer.
Contradiction with Psalm 22:1
A cry of abandonment by God, which differs from the trust and gratitude for the Lord’s bountiful dealings in Psalms 13:6.
Psalm 22:1: [To the chief Musician upon Aijeleth Shahar, A Psalm of David.] My God, my God, why hast thou forsaken me? [why art thou so] far from helping me, [and from] the words of my roaring? [Aijeleth...: or, the hind of the morning] [helping...: Heb. my salvation]
Contradiction with Habakkuk 1:2
The cry for help without being heard contrasts with the notion of divine generosity and resultant joy in Psalms 13:6.
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!