Home
Class 12
MATHS
Given, y=sqrt(tan^-1x show <be> (1+x^2)y...

Given, `y=sqrt(tan^-1x` show `(1+x^2)y(d^2y)/(dx^2)+(1+x^2)(dy/dx)^2+2xydy/dx=0`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    MAXIMUM PUBLICATION|Exercise EXAMPLE|57 Videos

  • DETERMINANTS

    MAXIMUM PUBLICATION|Exercise EXAMPLE|121 Videos

Similar Questions

Explore conceptually related problems

Given, y=sqrt(tan^-1x show 2(1+x^2)ydy/dx=1

(dy)/(dx)=(1+x^2)(1+y^2)

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

Let y=(x+sqrt(1+x^2))^m Show that (1+x^2)(d^2y)/dx^2+xdy/dx-m^2y=0 .

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

If e^y(x+1)=1 , show that (d^2y)/(dx^2)=(dy/dx)^2

If e^y(x+1)=1 , show that (d^2y)/(dx^2)=(dy/dx)^2

Find (d^2y)/(dx^2) y=tan^(-1)x

Let y=(x+sqrt(1+x^2))^m i) Find (dy/dx) ii) Show that (1+x^2) (d^2 y)/(d x^2)+x (dy/dx)-m^2 y=0 .

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