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Question 67Asked in DSSSB TGT Computer Science (Technical), 13 Sep 2025, Shift 3 (5:00 PM)

Which of the following options is the particular integral of the differential equation d²y/dx² − 4y = sinh t ?

  1. A−sinh t / 3
  2. B−sinh t
  3. Csinh t / 3
  4. Dsinh t
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Correct answer: (A) −sinh t / 3

Explanation

sinh t = (eᵗ − e⁻ᵗ)/2. Replacing D² by 1 in 1/(D² − 4) gives 1/(1 − 4), so the particular integral is −sinh t / 3.

From DSSSB TGT Computer Science PYQ (Technical), 13 Sep 2025, Shift 3 (5:00 PM)

This is question 67 of DSSSB TGT Computer Science PYQ (Technical), 13 Sep 2025, Shift 3 (5:00 PM). See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.