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Please solve RD Sharma Class 12 Chapter 21 Differential Equation Exercise Multiple Choice Question Question 2 maths textbook solution.

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Answer : (b)\; y=kx

Hint :Use variable separable method and then integrate.

Given : \frac{dy}{dx}=\frac{y}{x}

Explanation : \frac{dy}{dx}=\frac{y}{x}

\frac{d y}{y}=\frac{d x}{x}

Integrate both sides

\begin{aligned} &\log y=\log x+\log k \\ \\&\log y=\log k x \\ \\&y=k x \end{aligned}

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