imo class 12 differential equations

The integrating factor (I.F.) of the linear differential equation dy/dx + Py = Q is given by:

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The integrating factor (I.F.) of the linear differential equation dy/dx + Py = Q is given by:

  • A. e^(∫Q dx)
  • B. e^(∫P dy)
  • C. e^(∫P dx)
  • D. e^(∫Q dy)

Answer: C) e^(∫P dx)

Explanation: By definition, for a first-order linear differential equation in y, dy/dx + Py = Q, the integrating factor is e^(∫P dx).

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