Home
Class 12
MATHS
If y=cos^(-1)x, then show that : (1-x^...

If `y=cos^(-1)x`, then show that :
`(1-x^(2))(d^(2)y)/(dx^(2))-xdy/dx=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=asin^(-1)x , then show that : (1-x^(2))(d^(2)y)/(dx^(2))-xdy/dx=0

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

If y=cos(mcos^(-1)x) , then prove that : (1-x^(2))(d^(2)y)/(dx^(2))-xdy/dx+m^(2)y=0 .

If y=sin^(-1)x , show that (1-x^(2))(d^(2)y)/(dx^(2))-xdy/dx=0 .

If y=sin^(-1)x show that (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)=0

If y=e^(a cos^(-1)x),-1<=x<=1 then show that (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)-a^(2)y=0

If y = cos ( m cos ^(-1) x ) then show that (1-x^(2) ) (d^(2) y)/(dx^(2)) -x (dy)/(dx) + m ^(2) y =0

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

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

If y=(sin^(-1)x)^(2),"show that "(1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)=2

Home
Profile