Integrating factor of the differential e

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Differential Equations

Question:

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

Options:

$\sin x$

$\sec x$

$\tan x$

$\cos x$

Correct Answer:

$\sec x$

Explanation:

We have,

$\frac{d y}{d x}+(\tan x) y=\sec x$

∴ Integrating factor = $e^{\int \tan x d x}=e^{\log \sec x}=\sec x$