Home
Class 12
MATHS
IF y=sqrt(x+1)-sqrt(x-1), Prove that, ...

IF `y=sqrt(x+1)-sqrt(x-1)`, Prove that,
`(x^2-1)(d^2y)/(dx^2)+xdy/dx=1/4y`

Answer

Step by step text solution for IF y=sqrt(x+1)-sqrt(x-1), Prove that, (x^2-1)(d^2y)/(dx^2)+xdy/dx=1/4y by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Multiple correct answer type)|5 Videos

  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Integer answer type)|5 Videos

  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Short Answer type Question|50 Videos

  • REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams E (Assertion - Reason Type )|2 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion-Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

If y=sin (2sin^-1x) , Prove that, (1-x^2)(d^2y)/(dx^2)=xdy/dx-4y .

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

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

If y=[log(x+sqrt(x^2+1))]^2 , show that, (1+x^2)(d^2y)/(dx^2)+xdy/dx=2

If y=cos (2 sin^-1 x), prove that (1-x^2)(d^2y)/(dx^2)+xdy/dx+4=0

If y=e^(msin^-1x)(-1lexle1) , Prove that, (1-x^2)(d^2y)/(dx^2)-xdy/dx=m^2y .

IF y=A (x+sqrt(x^2-1))^n+B(x-sqrt(x^2-1))^n , Show that, (1-x^2)(d^2y)/(dx^2)-xdy/dx+n^2y=0

If y=sqrt((1-x)/(1+x)) , prove that , (1-x^(2)) (dy)/(dx)+y=0

IF y=xsinx, prove that, x^2(d^2y)/(dx^2)-2xdy/dx+(2+x^2)y=0

If y=x^(n-1)logx , Prove that, x^2(d^2y)/(dx^2)+(3-2n)xdy/dx+(n-1)^2y=0

Home
Profile