Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:

Integrating factor of the differential equation $\cos x \frac{d y}{d x}+y \sin x=1$ is :

Options:

cos x

tan x

sec x

sin x

Correct Answer:

sec x

Explanation:

$\frac{d y}{d x}+y \frac{\sin x}{\cos x}=\frac{1}{\cos x}$

Here P = tan x, Q = sec x

∴ I. F. = $e^{\int \tan x d x}=e^{\log \sec x}=\sec x$

Hence (3) is the correct answer.