Find f(x) if f is continuous for x>0 and (f(x))^2 = (integral of f(t) dt from 0 to x) + 9
The question is:Originally Posted by Susie38
Find if is continuous for ,
and:
.
If you differentiate this last equation you get:
,
which is an ODE which you should be able to solve
(though you may have to take extra care about points
where ).
RonL