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 RD Sharma maths class 12 chapter Higher Order Derivatives exercise 11.1 question 6

Provide solution for RD Sharma maths class 12 chapter Higher Order Derivatives exercise 11.1 question 6

Answers (1)

Answer:

        \frac{d^{2}y}{dx^{2}}+y=0

Hint:

You have to know about how to find derivative of second order

Given:

If y=2sin x+3cos x,show that

        \frac{d^{2}y}{dx^{2}}+y=0

Solution:

Let y=2sin x+3cos x

        \begin{aligned} &\frac{d y}{d x}=2 \cos x-3 \sin x \quad \quad\left(\frac{d \cos x}{d x}=-\sin x, \frac{d \sin x}{d x}=\cos x\right) \\ &\frac{d^{2} y}{d x^{2}}=-2 \sin x-3 \cos x \\ &\frac{d^{2} y}{d x^{2}}=-y \\ &\frac{d^{2} y}{d x^{2}}+y=0 \end{aligned}

Hence proved

Posted by

Gurleen Kaur

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 Results 2024: Marks verification from 4th day of result declaration; board issues schedule
anam-khan

CBSE 10th, 12th results 2024 ‘shortly’; board issues Digilocker access code for students
anam-khan

CBSE Class 10, 12 results 2024 likely after May 20, says result portal

Latest Question