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Mathematics · JEE | DIFFERENTIAL EQUATIONS
हिन्दीGiven below are two statements: Statement I: A homogeneous differential equation can always be reduced to a separable variable form by substituting \( y = vx \). Statement II: The integrating factor of the differential equation \( \frac{dy}{dx} + y \sec x = \tan x \) is \( \sec x + \tan x \). In the light of the above statements, choose the most appropriate answer from the options given below:
View Answer & Solution
Correct answer · Option A
Both Statement I and Statement II are correct.
Explanation
Both statements are standard theoretical properties. I.F. = \( e^{\int \sec x \, dx} = e^{\ln(\sec x + \tan x)} = \sec x + \tan x \).
