class 12 maths differential equations

The integrating factor of differential equation
$\frac{{dy}}{{dx}} + y\tan x - \sec x = 0$ is

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📘 Differential Equations NCERT EXEMP.Q.53,Page.198 MCQ 1 mark

The integrating factor of differential equation
$\frac{{dy}}{{dx}} + y\tan x - \sec x = 0$ is

Official Solution

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Given that, $\frac{{dy}}{{dx}} + y\tan x - \sec x = 0$

Here, $P = \tan x,Q = \sec x$

$IF = {e^{\int P dx}} = {e^{\int {\tan } xdx}}$

$= {e^{(\log \sec x)}}$
$= \sec x$

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