Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:

The integrating factor of the differential equation $\frac{dy}{dx}(xlogx)+y=2logx$ is given by:

Options:

log (log x)

ex

log x

x

Correct Answer:

log x

Explanation:

$\frac{dy}{dx}+\frac{1}{x\,log\,x}y=\frac{2}{x}⇒I.F.=e^{\int\frac{1}{x\,log\,x}}=e^{\log(log\, x)}=log x$