Home
Class 12
MATHS
If y=5 cos x-3 sin x, prove that (d^2y)/...

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

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|53 Videos
  • DETERMINANTS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|116 Videos

Similar Questions

Explore conceptually related problems

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

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

If y=3e^(2x)+2 e^(3x) , prove that (d^2y)/(dx^2)-5 (dy/dx)+6 y=0

If y=sin(logx) prove that x^2(d^2y)/dx^2+xdy/dx+y=0 .

If y=3e^(2x)+2e^(3x) , prove that (d^2y)/(dx^2)-5dy/dx+6y=0

If y=ae^(5x)+be^(-5x) , show that (d^2y)/(dx^2)-25y=0

If y=sin 2x , Prove that dy/dx=2cos2x

Find (d^2y)/(dx^2) y=x^2+3x+2

a) Find (dy/dx) if i) y=sin (x^3+7) ii) x=a(t-sin t), y=a(1-cos t) b) If y=a cos (log x)+b sin (log x) Prove that x^2 (d^2 y)/(d x^2)+x (dy/dx)+y=0

If y=sin(m sin^-1x) , Hence prove that (1-x^2)(d^2y)/dx^2-xdy/dx+m^2y=0 .