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BIHAR CET Integrating Factor — practice questions

Explore 1 free Integrating Factor questions in BIHAR CET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Integrating Factor questions and exercises with answers

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The integrating factor for the linear DE $\dfrac{dy}{dx} + P(x)y = Q(x)$ is:Read the answer and worked solution →

Worked practice questions

The integrating factor for the linear DE $\dfrac{dy}{dx} + P(x)y = Q(x)$ is:

  1. $\int P\,dx$
  2. $e^{\int P\,dx}$
  3. $e^{-\int P\,dx}$
  4. $e^{Q}$
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Correct answer: B. $e^{\int P\,dx}$

Multiplying by $\mu = e^{\int P\,dx}$ turns the LHS into $\dfrac{d}{dx}(\mu y)$. **Then integrate both sides:** $\mu y = \int Q\mu\,dx + c$.

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