Home
Class 12
MATHS
If y=2sinx+3cosx, prove that : y+(d^(2)y...

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

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE 5(l) (SHORT ANSWER TYPE QUESTIONS)|15 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE 5(l) (LONG ANSWER TYPE QUESTIONS (I))|23 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE 5(k) (SHORT ANSWER TYPE QUESTIONS)|19 Videos
  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 Videos

Similar Questions

Explore conceptually related problems

If y=5sinx-3sinx , prove that : (d^(2)y)/(dx^(2))+y=0 .

If y=Asinx+Bcosx , prove that (d^(2)y)/(dx^(2))+y=0 .

Knowledge Check

  • If y= 2 sin x+3 cosx , then y + (d^(2)y)/(dx^(2)) is

    A
    1
    B
    0
    C
    2
    D
    3
  • Similar Questions

    Explore conceptually related problems

    If y=A sin mx+B cos mx, then prove that (d^(2)y)/(dx^(2))+m^(2)y=0

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

    y=5cos x-3sin x prove that (d^(2)y)/(dx^(2))+y=0

    If y=e^(ax)cosbx , then prove that : (d^(2)y)/(dx^(2))-2ady/dx+(a^(2)+b^(2))y=0 .

    If y=e^(x)(sin x+cos x) prove that (d^(2)y)/(dx^(2))-2(dy)/(dx)+2y=0

    If y=e^(x)(sin x+cos x) prove that (d^(2)y)/(dx^(2))-2(dy)/(dx)+2y=0

    If y=5" cos"x-3" sin"x , prove that (d^(2)y)/(dx^(2))+y=0.