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 R.D.Sharma Maths Class 12 Chapter 21 Differential Equations Exercise Revision Exercise Question 13 Maths Textbook Solution.

Need Solution for R.D.Sharma Maths Class 12 Chapter 21 Differential Equations Exercise Revision Exercise Question 13 Maths Textbook Solution.

Answers (1)

Answer: y^{2}-x^{2}-xy=a is the solution of the given differential equation

Hint: Find first and second order derivative and put values in differential equation to be verified.

Given: y^{2}-x^{2}-xy=a,\left ( x-2y \right )\frac{dy}{dx}+2x+y=0

Solution:  y^{2}-x^{2}-xy=a

\begin{aligned} &2 \mathrm{y} \frac{\mathrm{dy}}{\mathrm{dx}}-2 \mathrm{x}-\mathrm{x} \frac{\mathrm{dy}}{\mathrm{dx}}-\mathrm{y}=0 \text { differentiating } w \cdot r . t \text { to } x \\ &-\left[(x-2 y) \frac{d y}{d x}+2 x+y\right]=0 \\ &\therefore(\mathrm{x}-2 \mathrm{y}) \frac{d y}{d x}+2 x+y=0 \end{aligned}

Thusy^{2}-x^{2}-xy=a is the solution of the given differential equation

 

Posted by

infoexpert21

View full answer

Crack CUET with india's "Best Teachers"

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

Similar Questions

Latest Question