Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Please solve RD Sharma class 12 chapter Differential Equations exercise 21.7 question 5 maths textbook solution

Please solve RD Sharma class 12 chapter Differential Equations exercise 21.7 question 5 maths textbook solution

Answers (1)

Answer: \frac{y^{3}}{3}+\frac{y^{2}}{2}=\frac{x^{2}}{2}+\log |x|+c

Hint: Separate the terms of x and y and then integrate them.

Given: x y(y+1) d y=\left(x^{2}+1\right) d x

Solution:x y(y+1) d y=\left(x^{2}+1\right) d x

        \begin{aligned} &y(y+1) d y=\frac{\left(x^{2}+1\right) d x}{x} \\\\ &\left(y^{2}+y\right) d y=\left(\frac{x^{2}}{x}+\frac{1}{x}\right) d x \end{aligned}

        Integrating both sides

        \begin{aligned} &\int\left(y^{2}+y\right) d y=\int\left(x+\frac{1}{x}\right) d x \\\\ &\frac{y^{3}}{3}+\frac{y^{2}}{2}=\frac{x^{2}}{2}+\log |x|+c \end{aligned}

Posted by

infoexpert26

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

CBSE Exam Dates 2026 LIVE: CBSE Class 10th, 12th revised date sheet at cbse.gov.in; how to download, updates
anam-khan

CBSE board exam 2026 scheduled on March 3 postponed for Class 10, 12; revised date sheet out
anam-khan

CBSE practical exams 2026 will be cancelled over non-compliance with guidelines, says board

Latest Question