UTpaper

Free mock tests & test series

Question 72Asked in DSSSB TGT Computer Science (Technical), 12 Sep 2025, Shift 3 (5:00 PM)

The particular integral of the differential equation d²y/dx² + 2(dy/dx) + y = x² + 2x is _______.

  1. Ax² + 2x − 2
  2. Bx² + 2x + 2
  3. Cx² − 2x + 2
  4. Dx² − 2x − 2
Show answerHide answer

Correct answer: (C) x² − 2x + 2

Explanation

Try y = x² + bx + c. Then y'' + 2y' + y = x² + (4 + b)x + (2 + 2b + c). Matching with x² + 2x gives b = −2 and c = 2, so the particular integral is x² − 2x + 2.

From DSSSB TGT Computer Science PYQ (Technical), 12 Sep 2025, Shift 3 (5:00 PM)

This is question 72 of DSSSB TGT Computer Science PYQ (Technical), 12 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.