Integrating factor of the differential equation $x \frac{d y}{d x}-y=3 x^2$ is:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) - $\frac{1}{x}$
Divide equation by (x)
$⇒\frac{dy}{dx}-\frac{y}{x}=3x$
$I.F.=e^{\int -\frac{1}{x}dx}=e^{-\log x}=\frac{1}{x}$