Find the temperature in Prob. 11 with L = Ï, c = 1, and f (x) =
Question:
f (x) = cos 2x
Data from Prob. 11
Adiabatic means no heat exchange with the neighborhood, because the bar is completely insulated, also at the ends. Physical Information: The heat flux at the ends is proportional to the value of u/x there.
Show that for the completely insulated bar ux(0, t) = 0, ux(L, t) = 0, u(x, t) = f(x) and separation of variables gives the following solution, with An given by (2) in Sec. 11.3.
Transcribed Image Text:
ο ,- (cn π/L?t u(x, ) -Αο + ΣAμ ηπχ cos n=1
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