阿摩線上測驗
題組內容
Problem 1 (20%) ป็น 8น Let u be a solution to the heat equation:
with boundary conditions: u(0, x) = f(x), O ≤ s ≤ I, and
=0, 0≤t＜∞.
(a) (10%) Define the thermal energy
u(t,x)da. Show that under the above assumptions, T(t)
is constant in time; i.e., 
f(x)dr, for all t≥0.