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Question 157Asked in DSSSB TGT Computer Science, 24 Jun 2023, Shift 3 (4:30 PM)

The general solution of dy/dx = e^(x+y) is:

  1. Ae^(−x) − e^(−y) = c
  2. Be^(−x) + e^y = c
  3. Ce^x + e^(−y) = c
  4. De^(−x) + e^y = c
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Correct answer: (C) e^x + e^(−y) = c

Explanation

Separating variables gives e^(−y) dy = e^x dx. Integrating gives −e^(−y) = e^x + k, so e^x + e^(−y) = c.

From DSSSB TGT Computer Science PYQ, 24 Jun 2023, Shift 3 (4:30 PM)

This is question 157 of DSSSB TGT Computer Science PYQ, 24 Jun 2023, Shift 3 (4:30 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.