imo class 12 differential equations

The number of arbitrary constants in the general solution of a differential equation of fourth order is:

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The number of arbitrary constants in the general solution of a differential equation of fourth order is:

  • A. 0
  • B. 2
  • C. 3
  • D. 4

Answer: D) 4

Explanation: The general solution of an nth-order differential equation contains exactly n independent arbitrary constants. Thus, for a 4th-order DE, there are 4 constants.

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