Differential Equations — Class 12 Maths Solution

exemplar objective MCQ NCERT EXEMP.Q.53,Page.198
Question

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

  • (a) $\cos x$
  • (b) $\sec x$ ✓ Correct
  • (c) ${e^{\cos x}}$
  • (d) ${e^{\sec x}}$
Step-by-step Solution
Correct answer: option (b)

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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NCERT & Exemplar solution for CBSE Class 12 Mathematics, Differential Equations. Curated by Sachin Sharma. Free for all students.