Home
Class 12
MATHS
If y=sin^(-1) x, then show that (1-x^(2)...

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

Text Solution

Verified by Experts

The correct Answer is:
0
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

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

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART VIII) QUESTION FOR PRACTICE (4 MARK) |14 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART VII) QUESTION FOR PRACTICE (4 MARK) |5 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=tan^(-1)x , then show that (1+x^(2))(d^(2)y)/(dx^(2))+2x(dy)/(dx)=0

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

If x = sint and y= sin (pt) , then show that (1-x^(2) ) (d^2y)/( dx^2) - x (dy)/( dx) + p^(2) y =0 .

If x=cos theta and y=sin 5 theta , then prove that (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)+25y=0

x=tan((1)/(2)" log y") , then show that (1+x^(2))(d^(2)y)/(dx^(2))+(2x-2)(dy)/(dx)=0

If y=(sin^(-1)x)/(sqrt(1-x^(2))) , the prove that (1-x^(2))(d^(2)y)/(dx^(2))-3x(dy)/(dx)-y=0 .

If y=(x+sqrt(1+x^(2)))^(n) , then show that (1+x^(2))(d^(2)y)/(dx^(2))+x(dy)/(dx)=n^(2)y .

If y=log[x+sqrt(x^(2)+1)] , then prove that (x^(2)+1)(d^(2)y)/(dx^(2))+x(dy)/(dx)=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=acos theta+bsin theta and y=a sin theta-bcos theta , then show that y^(2)(d^(2)y)/(dx^(2))-x(dy)/(dx)+y=0