imo class 12 differential equations

The order of the differential equation representing the family of curves y = a sin(x + b), where a and b are arbitrary constants, is:

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The order of the differential equation representing the family of curves y = a sin(x + b), where a and b are arbitrary constants, is:

  • A. 1
  • B. 2
  • C. 3
  • D. 4

Answer: B) 2

Explanation: There are two independent arbitrary constants (a and b) in the given family of curves. Hence, the differential equation will be of order 2.

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