imo class 12 differential equations

The solution of dy/dx = 3x² satisfying y = 2 when x = 0 is:

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The solution of dy/dx = 3x² satisfying y = 2 when x = 0 is:

  • A. x³ + 2
  • B.
  • C. 3x² + 2
  • D. x³ − 2

Answer: A) x³ + 2

Explanation: Integrating gives y = x³ + C. Using y(0)=2, C=2.

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