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Suppose we have a thin bar of length 27, and suppose the bar is fully insulated, including the ends. Suppose the bar has an initial temperature u(r, 0) = 4 cos(6r) + 10. Find a function u(r,t) that describes the temperature of a point a distance r along the bar at time t. Use c=1.

Suppose we have a thin bar of length 27, and suppose the bar is fully insulated, including the ends. Suppose the bar has an initial temperature u(r, 0) = 4 cos(6r) + 10. Find a function u(r,t) that describes the temperature of a point a distance r along the bar at time t. Use c=1.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Suppose we have a thin bar of length 2n, and suppose the bar is fully insulated, including the ends. Suppose the bar has an initial temperature u(r, 0) = 4 cos(6r) + 10. Find a function u(r,t) that describes the temperature of a point a distance r along the bar at time t. Use c = 1.
Transcribed Image Text:Suppose we have a thin bar of length 2n, and suppose the bar is fully insulated, including the ends. Suppose the bar has an initial temperature u(r, 0) = 4 cos(6r) + 10. Find a function u(r,t) that describes the temperature of a point a distance r along the bar at time t. Use c = 1.
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