imo class 12 differential equations

What is the integrating factor of x(dy/dx) + 2y = x²?

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What is the integrating factor of x(dy/dx) + 2y = x²?

  • A. x
  • B.
  • C. log x
  • D.

Answer: B)

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

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