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  • Please solve RD Sharma class 12 chapter Differential Equation exercise 21.2 question 16 subquestion (i) maths textbook solution

Please solve RD Sharma class 12 chapter Differential Equation exercise 21.2 question 16 subquestion (i) maths textbook solution

Answers (1)

Answer:

 The required equation is

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

Hint:

 The given equation is the equation of a circle

Given:

 x^{2}+y^{2}=a^{2}

Solution:

x^{2}+y^{2}=a^{2}

Differentiating with respect to x,

\begin{aligned} &2x+2y\frac{\mathrm{d} y}{\mathrm{d} x}=0\\ &x+y\frac{\mathrm{d} y}{\mathrm{d} x}=0 \end{aligned}

The required equation is

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

Posted by

Gurleen Kaur

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