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Question 71Asked in DSSSB TGT Computer Science (Technical), 12 Sep 2025, Shift 1 (9:00 AM)

The particular solution of the differential equation (D⁴ − 18D² + 81)y = 72e^(3x) is __________.

  1. A72x²e^(3x) / 104
  2. Bx²e^(3x)
  3. C2x²e^(3x)
  4. D12x²e^(3x)
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Correct answer: (B) x²e^(3x)

Explanation

The operator is (D² - 9)² = (D - 3)²(D + 3)², so 3 is a double root. PI = 72 x² e^(3x) / (2! x (3 + 3)²) = 72 x² e^(3x) / 72 = x² e^(3x).

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

This is question 71 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.