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Question 370005
JEE Mathematics · Medium

Differential Equations: Linear DE MCQ

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Linear DEMediumQuestion 370005

Question

The integrating factor (IF) for the linear DE dy/dx + Py = Q (P, Q functions of x) is:
  1. A
    e^(∫P dx)
    Correct
  2. B
    e^(−∫P dx)
  3. C
    ∫P dx
  4. D
    P itself

Correct answer

e^(∫P dx)

Explanation

For dy/dx + P(x)y = Q(x): multiply through by IF = e^(∫P dx). The left side becomes d/dx[y × IF] = Q × IF. Integrate to find y.

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