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Need solution for  RD Sharma maths Class 12 Chapter 21 Differential Equation Exercise Multiple choice Question Question 50 textbook solution.

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Answer : (c)\; \frac{1}{x}

Hint : The equation is linear in y

Given : x \frac{d y}{d x}-y=2 x^{2}

Explanation : Divide on both sides by x

\begin{aligned} &\Rightarrow \frac{d y}{d x}-\frac{y}{x}=2 x \\ \\&I F=e^{\int-\frac{1}{x} d x} \\ &\qquad \begin{array}{l} \\=e^{-\log x} \\ \\=e^{\log \frac{1}{x}} \\ \\=\frac{1}{x} \end{array} \end{aligned}

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