imo class 12 differential equations

Find the integrating factor of the differential equation dy/dx + (1/x)y = x³.

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Find the integrating factor of the differential equation dy/dx + (1/x)y = x³.

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

Answer: B) x

Explanation: Here, P = 1/x. IF = e^(∫P dx) = e^(∫(1/x)dx) = e^(log x) = x.

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