Solution
= Solution
From $dF=-S,dT-p,dV$, Maxwell gives $(\partial S/\partial V)_T=(\partial p/\partial T)_V$. With $dE=T,dS-p,dV$, $(\partial E/\partial V)_T=T(\partial p/\partial T)_V-p=T^2\partial_T(p/T)|_V$.
= Solution
From $dF=-S,dT-p,dV$, Maxwell gives $(\partial S/\partial V)_T=(\partial p/\partial T)_V$. With $dE=T,dS-p,dV$, $(\partial E/\partial V)_T=T(\partial p/\partial T)_V-p=T^2\partial_T(p/T)|_V$.