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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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