please show me how to solve the following.
i have tried differentiation twice , but i cant get the same results..
First, I believe there's a typo. I think it should be and not .
If you consider
then differentiating both sides wrt twice and adding the same expression gives
Expanding gives - the first result.
If we let then we have the hierarchy of differential equations
.
By induction we can show that
and at
Substitution into (1) leads to the second result
.