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  • Please solve RD Sharma Class 12 Chapter 21 Differential Equation Exercise Multiple choice Question Question 38 maths textbook solution.

Please solve RD Sharma Class 12 Chapter 21 Differential Equation Exercise Multiple choice Question Question 38 maths textbook solution.

Answers (1)

Answer : (c)\; \log\; x

Hint: The given differential equation is linear in y.

Given : (x \log x) \frac{d y}{d x}+y=2 \log x

Explanation: Divide on both sides by x \log x

\Rightarrow \frac{d y}{d x}+y\left(\frac{1}{x \log x}\right)=\frac{2}{x}

The equation is linear in y

\begin{aligned} &I F=e^{\int \frac{1}{x \log x} d x} \\ &\text { Let } \log x=t \Rightarrow \frac{1}{x} d x=d t \\ &I F=e^{\int \frac{1}{t} d t}=e^{\log t}=t \\ &I F=\log x \end{aligned}

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