imo class 12 differential equations

The family y²=x²+C leads to the differential equation:

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The family y²=x²+C leads to the differential equation:

  • A. y(dy/dx)=x
  • B. dy/dx=x/y
  • C. y=x(dy/dx)
  • D. x+y=0

Answer: A) y(dy/dx)=x

Explanation: Differentiating gives 2y(dy/dx)=2x.

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