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Please solve RD Sharma Class 12 Chapter 21 Differential Equation Exercise Multiple choice Question Question 39 maths textbook solution.

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Answer : (a)\ sec \; x+\tan\; x

Hint: The given differential equation is linear in y so find the integrating factor of the equation.

Given :  \frac{dy}{dx}+y\sec x=\tan\; x

Explanation: I F=e^{\int \sec x d x}

\begin{aligned} &=e^{\log (\sec x+\tan x)} \\ &=\sec x+\tan x \end{aligned}

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