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 2 maths textbook solution.

Please solve RD Sharma Class 12 Chapter 21 Differential Equation Exercise 21.10 Question 2 maths textbook solution.

Answers (1)

Answer : y=\frac{-5}{4} e^{-3 x}+C e^{-2 x}

Hint : To solve this equation we use e\; \int \; fx\; dx formula

Given : 4\frac{dy}{dx}+8y=5e^{-3x}

Solution : \frac{dy}{dx}+2y=\frac{5}{4}e^{-3x}

               \begin{aligned} &P(x)=2, Q(x)=\frac{5}{4} e^{-3 x} \\ &I f=e^{\int f(x) d x} \\ &=e^{\int 2 d x} \\ &=e^{2 x} \end{aligned}

               \begin{aligned} &=y e^{2 x}=\int e^{2 x} \times \frac{5}{4} e^{-3 x} d x+C \\ &=y e^{2 x}=\frac{-5}{4} e^{-x} d x+C \\ &=y=\frac{-5}{4} e^{-3 x}+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