Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • 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

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Latest Question