if y= [log(x+root x2+1)]2 show that (1+x2) d2y/dx2 +xdy/dx =2
Here is the link given below for the answer similar to your query :
https://www.meritnation.com/ask-answer/question/if-y-log-x-root-x2-1-then-prove-that-x2-1-dy/math/4405227
https://www.meritnation.com/ask-answer/question/if-y-log-x-root-x2-1-then-prove-that-x2-1-dy/math/4405227