A thin bar of length L = 3 meters is situated along the x axis so that one end is at x = 0 and the other end is at x = 3. The thermal diffusivity of the bar is k = 0.4. The bar's initial temperature is given by the function f(x) = 120 - 12x degrees Celsius. The ends of the bar (x = 0 and x = 3) are then put in an icy bath and kept at a constant 0 degrees C. Let u(x, t) be the temperature in the bar at x at time t, with t measured in seconds. Find u(x, t) and then u4(2, 0.1). %3D Put us(2, 0.1) calculated accurately to the nearest thousandth (3 decimal places) in the answer box.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A thin bar of length L = 3 meters is situated along the x axis so that
one end is at x = 0 and the other end is at x = 3. The thermal
diffusivity of the bar is k = 0.4. The bar's initial temperature is given
by the function f(x) = 120 - 12x degrees Celsius. The ends of the bar
(x = 0 and x =
degrees C. Let u(x, t) be the temperature in the bar at x at time t,
with t measured in seconds. Find u(x, t) and then u4 (2, 0.1).
3) are then put in an icy bath and kept at a constant 0
Put us(2. 0.1) calculated accurately to the nearest thousandth (3
decimal places) in the answer box.
Transcribed Image Text:A thin bar of length L = 3 meters is situated along the x axis so that one end is at x = 0 and the other end is at x = 3. The thermal diffusivity of the bar is k = 0.4. The bar's initial temperature is given by the function f(x) = 120 - 12x degrees Celsius. The ends of the bar (x = 0 and x = degrees C. Let u(x, t) be the temperature in the bar at x at time t, with t measured in seconds. Find u(x, t) and then u4 (2, 0.1). 3) are then put in an icy bath and kept at a constant 0 Put us(2. 0.1) calculated accurately to the nearest thousandth (3 decimal places) in the answer box.
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