imo class 12 differential equations

The family y = Cx² leads to the differential equation:

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The family y = Cx² leads to the differential equation:

  • A. x dy/dx = 2y
  • B. x dy/dx = y
  • C. dy/dx = x
  • D. dy/dx = 2x

Answer: A) x dy/dx = 2y

Explanation: Differentiating gives dy/dx = 2Cx. Since C = y/x², x(dy/dx)=2y.

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