If `y=(cot^(-1)x)^(2)`, then show that `(x^(2)+1)^(2)(d^(2)y)/(dx^(2))+2x(x^(2)+1)(dy)/(dx)=2.`
Channel: Doubtnut
Date: 2020-04-19

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