Home
Class 12
MATHS
If y= [Log(x+sqrt(x^2+1))]^2 then show t...

If `y= [Log(x+sqrt(x^2+1))]^2` then show that `(x^2+1)y_2+xy_1=0`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 9|3 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 7|11 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

If sqrt(x^2 +1) y = log(sqrt(x^2+1)-x) , then show that (x^2 +1) dy/dx + xy + 1=0

If y = (sqrt(x+1) - sqrt(x-1)) , then prove that (x^2-1) y_2 +xy_1 = 1/4 y

y = [x + sqrt(x^2 + 1)]^p , prove that (x^2 + 1)y_2 + xy_1 - p^2y = 0

If y = [ x + 5 + sqrt(x^2 + 10x + 1)]^n then prove that (x^2 + 10x + 1) y_2 + (x + 5) y_1 - n^2y = 0 .

IF y =[log (x+ sqrt(1+ x^2))]^2 ,show that (1+ x^2) (d^2y) /dx^2 +x(dy/dx) =0

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

Find the second order derivative of the following functions If y = log[x + sqrt(x^2 + a^2)] , show that (x^2 + a^2) (d^2y)/(dx^2) + x (dy)/(dx) = 0

If ysqrt(x^(2)+1)=log(x+sqrt(x^(2)+1)) , show that (x^(2)+1)(dy)/(dx)+xy-1=0 .