- #1

gop

- 58

- 0

## Homework Statement

Determine all functions [tex]H:(0,\infty)\to\mathbb{R}[/tex]

so that [tex]H(x)=\frac{1}{x}\int_{2}^{x}t(3-2H'(t))\ dt,\ \ x>0[/tex]

## Homework Equations

## The Attempt at a Solution

I tried to integrate by parts to change the integral into to the form of a differential equation, or at least an equation that could be differentiated to yield a differential equation. However; I always end up with a 1/x term in from of my integral thus making it impossible to get only H'(x) and H(x). Basically, I can't eliminate the integral of H(x) from my equation