Question 71Asked in DSSSB TGT Computer Science (Technical), 12 Sep 2025, Shift 2 (1:00 PM)

The integrating factor of the differential equation x(dy/dx) − y = x³ − 2x is:

  1. A1/x
  2. Bx
  3. Clog x
  4. Deˣ
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Correct answer: (A) 1/x

Explanation

Dividing by x gives dy/dx - (1/x)y = x² - 2, so P = -1/x. IF = e^(∫ -1/x dx) = e^(-ln x) = 1/x.

From DSSSB TGT Computer Science PYQ (Technical), 12 Sep 2025, Shift 2 (1:00 PM)

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