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Mathematics · JEE | DIFFERENTIAL EQUATIONS

हिन्दी

Which of the following functions serves as the integrating factor for the linear differential equation \( \frac{dx}{dy} + P_1 x = Q_1 \)?

  1. A
    \( e^{\int P_1 \, dx} \)
  2. B
    \( e^{\int Q_1 \, dy} \)
  3. C
    \( e^{\int Q_1 \, dx} \)
  4. D
    \( e^{\int P_1 \, dy} \)
View Answer & Solution

Correct answer · Option D

\( e^{\int P_1 \, dy} \)

Explanation

When \( x \) is the dependent variable and \( y \) is the independent variable, the integrating factor is \( e^{\int P_1 dy} \).
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