imo class 12 differential equations

Solve x(dy/dx) + 2y = x²log x. The integrating factor is:

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Solve x(dy/dx) + 2y = x²log x. The integrating factor is:

  • A. x
  • B.
  • C. log x
  • D. 1/x²

Answer: B)

Explanation: Divide by x: dy/dx + (2/x)y = x log x. P = 2/x. IF = e^(∫(2/x)dx) = e^(2 log x) = x².

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