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  • Explain solution RD Sharma Class 12 Chapter 21 Differential Equation exercise 21.5 question 22 Maths.

Explain solution RD Sharma Class 12 Chapter 21 Differential Equation exercise 21.5 question 22 Maths.

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Answer: C=1

Hint: Find value of C.

Given: \sin\left ( \frac{dy}{dx} \right )=k

Solution: \sin\left ( \frac{dy}{dx} \right )=k,y=1

\begin{aligned} &\frac{d y}{d x}=\sin ^{-1} k \\ &\int d y=\int \sin ^{-1} k d x \\ &\Rightarrow y=x \sin ^{-1} k+C \\ &\Rightarrow 1=0+C \\ &\Rightarrow C=1 \end{aligned}

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