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  • Need solution for RD Sharma maths class 12 chapter Differential Equation exercise 21.2 question 16 subquestion (iii)

Need solution for RD Sharma maths class 12 chapter Differential Equation exercise 21.2 question 16 subquestion (iii)

Answers (1)

Answer:

 The required equation is

y-2x\frac{\mathrm{d} y}{\mathrm{d} x}=0

Hint:

 The equation is the equation of parabola

Given:

 y^{2}=4ax

Solution:

y^{2}=4ax

\begin{aligned} &2y\frac{\mathrm{d} y}{\mathrm{d} x}=4a\\ &\frac{\mathrm{d} y}{\mathrm{d} x}=\frac{2a}{y}\\ &\frac{\mathrm{d} y}{\mathrm{d} x}=\frac{2}{y}\left ( \frac{y^{2}}{4x} \right )\\ &\frac{\mathrm{d} y}{\mathrm{d} x}=\frac{y}{2x}\\ &2x\frac{\mathrm{d} y}{\mathrm{d} x}=y \end{aligned}

The required equation is

y-2x\frac{\mathrm{d} y}{\mathrm{d} x}=0

Posted by

Gurleen Kaur

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