Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Explain solution RD Sharma class 12 chapter Differential Equation exercise 21.2 question 15.3 subquestion (iii) maths

Explain solution RD Sharma class 12 chapter Differential Equation exercise 21.2 question 15.3 subquestion (iii) maths

Answers (1)

Answer:

 4xy\frac{\mathrm{d} y}{\mathrm{d} x}+x^{2}-2y^{2}=0

Hint:

 Using the formula (a+b)2 and differentiating the given equation

Given:

 (x-a)^{2}+2y^{2}=a^{2}

Solution:

\begin{aligned} &2(x-a)+2y.2\frac{\mathrm{d} y}{\mathrm{d} x}=0\\ &(x-a)=-2y\frac{\mathrm{d} y}{\mathrm{d} x}\\ &a=x+2y\frac{\mathrm{d} y}{\mathrm{d} x}\\ &\left ( 2+\frac{\mathrm{d} y}{\mathrm{d} x} \right )^{2}+2y^{2}=x^{2}+\left ( 2+\frac{\mathrm{d} y}{\mathrm{d} x} \right )^{2}+2x.2y\frac{\mathrm{d} y}{\mathrm{d} x} \end{aligned}

4xy\frac{\mathrm{d} y}{\mathrm{d} x}+x^{2}-2y^{2}=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

Trending Articles/News

anam-khan

‘More exhausting than manual’: How CBSE on-screen marking system is draining teachers it was meant to help
anam-khan

CBSE Class 12 Accountancy Paper Analysis: Moderate overall; competency-based MCQs, no journal entry questions
anam-khan

CBSE Class 12 Board Exam 2026 LIVE: Accountancy 12th paper 'moderate' in difficulty; set 1, 2 answer keys

Latest Question