Question 73Asked in DSSSB TGT Computer Science (Technical), 13 Sep 2025, Shift 3 (5:00 PM)

The order and degree of the differential equation (1 + dy/dx + cos(d²y/dx²))^(3/4) = d³y/dx³ is __________.

  1. A3 and 1
  2. B4 and 3
  3. C3 and 4
  4. D3 and 3
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Correct answer: (C) 3 and 4

Explanation

The highest derivative is d³y/dx³, so the order is 3. The key gets degree 4 by raising both sides to the 4th power. Strictly, the cos(d²y/dx²) term means the degree is not defined.

From DSSSB TGT Computer Science PYQ (Technical), 13 Sep 2025, Shift 3 (5:00 PM)

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