Q. The integrating factor of the differential equation $\frac{dy}{dx} + \frac{1}{x}.y = 3x$ is
A) $x$
B) $\ln x$
C) $0$
D) $\infty$
Explanation
(a)
Given, $\frac{dy}{dx} + \frac{1}{x}.y = 3x$
$\therefore$ $IF = e^{\int_{}^{}{\frac{1}{x}\ dx}} = e^{\log x} = x$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.