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

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

Answers (1)

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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