imo class 12 differential equations

The solution of dy/dx = x/y is:

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The solution of dy/dx = x/y is:

  • A. y² − x² = C
  • B. x² + y² = C
  • C. y − x = C
  • D. xy = C

Answer: A) y² − x² = C

Explanation: Separating variables: ydy = xdx. Integrating gives y²/2 = x²/2 + C.

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