UTpaper

Free mock tests & test series

Question 69Asked in DSSSB TGT Computer Science (Technical), 12 Sep 2025, Shift 1 (9:00 AM)

Which of the following options is the differential equation corresponding to y = ae^(2x) + be^(−x), where a and b are arbitrary?

  1. Ay'' − 2y' + y = 0
  2. By'' + 2y' + y = 0
  3. Cy'' + y' − 2y = 0
  4. Dy'' − y' − 2y = 0
Show answerHide answer

Correct answer: (D) y'' − y' − 2y = 0

Explanation

The exponents 2 and -1 are roots of the auxiliary equation (m - 2)(m + 1) = m² - m - 2 = 0, so the differential equation is y'' - y' - 2y = 0.

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

This is question 69 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.