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Please solve RD Sharma class 12 chapter Differential Equation exercise 21.2 question 3 subquestion (iii) maths textbook solution

Answers (1)

Answer:

 y+x\frac{\mathrm{d} y}{\mathrm{d} x}=0

Hint:

 Differentiating the given equation, where a-Parameter

Given:

 xy=a^{2}

Solution:

xy=a^{2}

\begin{aligned} &\frac{\mathrm{d} }{\mathrm{d} x}(xy)=\frac{\mathrm{d} }{\mathrm{d} x}(a^{2}) \\ &(1)y+x\frac{\mathrm{d} y}{\mathrm{d} x}=0 \\ &y+x\frac{\mathrm{d} y}{\mathrm{d} x}=0 \end{aligned}

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Gurleen Kaur

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