The integrating factor of linear differential equation d y d x +y… - Vidyadip

MCQ

The integrating factor of linear differential equation $\frac{d y}{d x}+y \sec x=\tan x$ is

A
$\sec x-\tan x$
B
$\sec x \cdot \tan x$
C
$\sec x+\tan x$
D
$\sec x \cdot \cot x$

✓

Answer

$\frac{d y}{d x}+P \cdot y=Q$
therefore P=secx
I. $f=e^{\int \sec x d x}=e^{\log |s e x+\tan x|}$
=secx+tanx

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