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Question 79Asked in DSSSB TGT Computer Science (Technical), 12 Sep 2025, Shift 1 (9:00 AM)

Which of the following options is the particular solution of the differential equation y'' − 6y' + 9y = 2e^(3t)?

  1. Ae^(3t) / 2
  2. Bt²e^(3t)
  3. Ce^(3t)
  4. De^(3t) / 9
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Correct answer: (B) t²e^(3t)

Explanation

The auxiliary equation (m - 3)² = 0 has 3 as a double root, so try At²e^(3t). Substituting gives 2A = 2, so A = 1 and the particular solution is t²e^(3t).

From DSSSB TGT Computer Science PYQ (Technical), 12 Sep 2025, Shift 1 (9:00 AM)

This is question 79 of DSSSB TGT Computer Science PYQ (Technical), 12 Sep 2025, Shift 1 (9:00 AM). 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.