Differential Equations
NCERT Exemplar Class 12
CBSE
Grade 12
Question:
The integrating factor of $\dfrac{dy}{dx} + y \sec x = \tan x$ is:
(a) $\sec x + \tan x$
(b) $\sec x$
(c) $\tan x$
(d) $\log(\sec x + \tan x)$
Step-by-Step Solution
IF = e^{\int \sec x dx} = e^{\log(\sec x + \tan x)} = \sec x + \tan x. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Selecting $\sec x + \tan x$: 1.0 Mark
Correct Answer: $\sec x + \tan x$
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