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

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

Text Solution

Verified by Experts

The correct Answer is:
`(1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)=2`
Promotional Banner

Topper's Solved these Questions

  • II PUC TOPPER ANSWERS MARCH-2016

    OSWAAL PUBLICATION|Exercise PART - E|2 Videos
  • II PUC TOPPER ANSWERS MARCH-2016

    OSWAAL PUBLICATION|Exercise PART - C|14 Videos
  • II PUC MARCH-2016

    OSWAAL PUBLICATION|Exercise PART - E|2 Videos
  • II PUC TOPPER'S ANSWERS MARCH (2017)

    OSWAAL PUBLICATION|Exercise PART - E Answer any one question :|4 Videos

Similar Questions

Explore conceptually related problems

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),-2lexle1 , show that (1-x^(2))(d^(2)y)/(dx^(2))-xdy/dx-a^(2)y=0

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

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

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

If y=tan^(-1)sqrt(x^(2)-1) , then the ratio (d^(2)y)/(dx^(2)):(dy)/(dx)=

If y=tan^(-1)sqrt(x^(2)-1) , then the ratio (d^(2)y)/(dx^(2)):(dy)/(dx)=