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

Question

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

Accepted 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:** $\mu y = \int Q\mu\,dx + c$.

Answer

$\int P\,dx$

Answer

$e^{-\int P\,dx}$

Answer

$e^{Q}$

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