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 21 Differential Equation Exercise 21.10 Question 6 maths textbook solution.

Please solve RD Sharma Class 12 Chapter 21 Differential Equation Exercise 21.10 Question 6 maths textbook solution.

Answers (1)

Answer : y=(2 x-1)+C e^{-2 x}

Hint : To solve this equation we will use differentiate different.

Give: \frac{dy}{dx}+2y=4x

Solution : \frac{dy}{dx}+Py=Q

               \begin{aligned} &P=2, Q=4 x \\ &I f=e^{\int P d x} \\ &=e^{\int 2 d x} \\ &=e^{-2 x} \end{aligned}

               \begin{aligned} &y \times I f=\int Q \times I f d x+C \\ &y e^{2 x}=\int 4 x e^{2 x} d x+C \\ &y e^{2 x}=4 \int x e^{2 x} d x+C \end{aligned}

                \begin{aligned} &y e^{2 x}=4\left[\frac{x e^{2 x}}{2}\right]-\left[\frac{e^{2 x}}{2} d x\right]+C \\ &y e^{2 x}=2 x e^{2}-2 \frac{e^{2 x}}{2}+C \\ &y=(2 x-1)+C e^{-2 x} \end{aligned}

Posted by

infoexpert23

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

PM Modi's Pariksha Pe Charcha 2025 to be held next month, registrations open till January 14
anam-khan

CBSE Board Exams 2025: Online portal for availing exemptions by CWSN students opens
anam-khan

Board Exams: States agree to equivalence; no question paper ‘jumbling’ from next year, says PARAKH CEO

Latest Question