If the integrating factor of the differential equation $\frac{dy}{dx} + P(x)y = Q(x)$ is $x$, then $P(x)$ is

Question

Dr. Abubacker · Accepted Answer

(c)
Given, $IF = x$
$	herefore$ $e^{\int_{}^{}{P\ dx}} = x$
$\Rightarrow$ $\int_{}^{}Pdx = \log x$
$\Rightarrow$ $P = \frac{d}{dx}\log x = \frac{1}{x}$

Q. If the integrating factor of the differential equation $\frac{dy}{dx} + P(x)y = Q(x)$ is $x$, then $P(x)$ is

Explanation

Reviewed by Dr. Abubacker

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