Home
Class 12
MATHS
If y=5cosx-3sinx,then prove that (d^(2)y...

If `y=5cosx-3sinx`,then prove that `(d^(2)y)/(dx^(2))+y=0`

Text Solution

Verified by Experts

The correct Answer is:
RHS
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART IX) Sample Questions |5 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART XI) QUESTION FOR PRACTICE (4 MARK) |7 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART VIII) QUESTION FOR PRACTICE (1 MARK) |2 Videos

  • CHSE ODISHA EXAMINATION PAPER 2020

    ARIHANT PUBLICATION|Exercise GROUP C (ANSWER ANY ONE QUESTIONS)|11 Videos

  • DETERMINANTS

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE |39 Videos

Similar Questions

Explore conceptually related problems

If y=asinx+bcosx , then prove that (d^(2)y)/(dx^(2))+y=0

If y=e^(x)sinx , then prove that (d^(2)y)/(dx^(2))-2(dy)/(dx)+2y=0 ,

If y=tanx+secx , then prove that (d^(2)y)/(dx^(2))=(cosx)/((1-sinx)^(2))

If y=x^(x) , then prove that (d^(2)y)/(dx^(2))-(1)/(y)((dy)/(dx))^(2)-(y)/(x)=0

If y=sqrt(x+1)-sqrt(x-1) , then prove that (x^(2)-1)(d^(2)y)/(dx^(2))+x(dy)/(dx)-1/4y=0 .

If x=asec theta, y=b tan theta , then prove that (d^(2)y)/(dx^(2))=-(b^(4))/(a^(2)y^(3))

If y=tan^(-1)(cosx/(1+sinx)), then prove that dy/dx=-1/2

If y =x log (x/(a+bx)) then prove that x^3(d^2y)/(dx^2)=(x(dy)/(dx)-y)^2 .