- #1
gop
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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