Home
Class 12
MATHS
If y=(cot^(-1)x)^2 , prove that y2(x^2+1...

If `y=(cot^(-1)x)^2` , prove that `y_2(x^2+1)^2+2x(x^2+1)y_1=2` .

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • FUNCTION

    RD SHARMA ENGLISH|Exercise All Questions|406 Videos

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA ENGLISH|Exercise All Questions|232 Videos

Similar Questions

Explore conceptually related problems

If y=(tan^(-1)x)^2 , show that (x^2+1)^2y_2+2x(x^2+1)y_1=2

If y=(tan^(-1)x)^2 , then prove that (1+x^2)^2\ y_2+2x\ (1+x^2)y_1=2 .

If y=(sin^(-1)x)^2 , prove that (1-x^2)y_2-x y_1-2=0 .

If y=(sin^(-1)x)^2 ,prove that (1-x^2)y_2-x y_1-2=0.

If y=e^(tan^(-1)x) , prove that (1+x^2)y_2+(2x-1)y_1=0 .

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

If y=e^(tan^-1x), prove that (1+x^2)y_2+(2x-1)y_1=0

If y=e^"tan"^((-1)"x")), prove that (1+x^2)y_2+(2x-1)y_1=0.

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

If y=e^("mcos"^(-1)x) , prove that: (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)=m^(2)y

Home
Profile