imo class 12 differential equations

The solution of dy/dx + y = eˣ is:

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The solution of dy/dx + y = eˣ is:

  • A. ½eˣ + Ce⁻ˣ
  • B. eˣ + Ceˣ
  • C. eˣ + C
  • D. Ce⁻ˣ

Answer: A) ½eˣ + Ce⁻ˣ

Explanation: IF=eˣ. Then d(yeˣ)/dx=e²ˣ. Integrating gives y=½eˣ+Ce⁻ˣ.

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