Question

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

• A. $x$
• B. $x^2/2$
• C. $1/x$
• D. $1/x^2$
• E. $1/2x$

Answer 1

Answer: (C)

Given that, $IF=x$
$\therefore$ $e^{\int Pdx}=x$
$\Rightarrow$ $\int Pdx=\log x$
$\Rightarrow$ $P=\frac{d}{dx}\log x=\frac{1}{x}$