imo class 12 differential equations

The differential equation formed from y=C₁eˣ+C₂e⁻ˣ is:

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The differential equation formed from y=C₁eˣ+C₂e⁻ˣ is:

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

Answer: A) d²y/dx²−y=0

Explanation: Differentiating twice gives d²y/dx²=y.

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