f'(x)=1/2f(x)-4
Find f(x).
It is easy to estimate f(x).
It must be squarerootx+2. I found the result by experience. What operations can I do?
Slip - you're misreading the problem. You are solving this:
But the OP meant this:
Starting with:
Rearrange and you get to:
Integrate:
where c is any arbitrary constant. This then yields:
.
So yes, is a solution, but so is , as well as , etc.
LaTex Tutorial
It is how we are formatting math equations to be readable on these forums.