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  • Please solve RD Sharma Class 12 Chapter 21 Differential Equation Exercise Multiple Choice Question Question 40 maths textbook solution.

Please solve RD Sharma Class 12 Chapter 21 Differential Equation Exercise Multiple choice Question Question 40 maths textbook solution.

Answers (1)

Answer :  (c) \sec\; x

Hint: The given differential equation is linear in y.

Given : \cos x \frac{d y}{d x}+y \sin x=1

Explanation: divide both sides by \cos x

\Rightarrow \frac{d y}{d x}+y \tan x=\sec x \quad\left[\frac{\sin x}{\cos x}=\tan x, \frac{1}{\cos x}=\sec x\right]

So the linear equation becomes linear in y

\begin{aligned} &I F=e^{\int \tan x d x} \\ &=e^{\log \sec x} \\ &=\sec x \end{aligned}

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