imo class 12 differential equations

The solution of dy/dx = (x²+1)/(2y) is:

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The solution of dy/dx = (x²+1)/(2y) is:

  • A. y²=(x³/3)+x+C
  • B. y=(x³/3)+x+C
  • C. y²=x²+C
  • D. xy=C

Answer: A) y²=(x³/3)+x+C

Explanation: 2ydy=(x²+1)dx. Integrating yields y²=(x³/3)+x+C.

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