imo class 12 differential equations

The differential equation formed from y = Csin x is:

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The differential equation formed from y = Csin x is:

  • A. dy/dx = y
  • B. d²y/dx² + y = 0
  • C. d²y/dx² − y = 0
  • D. dy/dx + y = 0

Answer: B) d²y/dx² + y = 0

Explanation: Differentiating twice gives d²y/dx² = −Csin x = −y.

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