Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Provide Solution For R.D.Sharma Maths Class 12 Chapter 21 Differential Equations Exercise Revision Exercise Question 2 Maths Textbook Solution.

Provide Solution For R.D.Sharma Maths Class 12 Chapter 21 Differential Equations Exercise  Revision Exercise Question 2 Maths Textbook Solution.

Answers (1)

Answer:

                Verified

Hint:

Find double derivatives of given equation and put values to verify

Given:

            y=e^{-3x}

Prove that y=e^{-3x}  is the solution of \frac{d^{2}y}{dx^{2}}+\frac{dy}{dx}-6y=0

Solution:

                y=e^{-3x}

                \begin{aligned} &\frac{d y}{d x}=-3 e^{-3 x} \\ &\frac{d^{2} y}{d x^{2}}=(-3)(-3) e^{-3 x} \\ &\frac{d^{2} y}{d x^{2}}=9 e^{-3 x} \end{aligned}

Put it in equation

                        \begin{aligned} &\frac{d^{2} y}{d x^{2}}+\frac{d y}{d x}-6 y=0 \\ &9 e^{-3 x}-3 e^{-3 x}-6 e^{-3 x}=0 \\ &\Rightarrow 0 \end{aligned}

Hence proved.

 

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

Trending Articles/News

anam-khan

CBSE Single Girl Child Scholarship 2024: Registration extended till January 10; eligibility criteria, amount
anam-khan

CBSE wants international boards reined in; letter to education ministry seeks directions for AIU
anam-khan

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

Latest Question