Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:

Integrating factor of the differential equation  x y' − y = Sin x is :

Options:

log x

log(log x)

x

1/x

Correct Answer:

1/x

Explanation:

xy' - y = Sin x 

y' - \(\frac{y}{x}\) = \(\frac{Sin x}{x}\)

Integrating factor : e\(\int_{}^{}d\)x (-1/x) = e -log x = 1/x