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5 An insulated uniform metal bar, 10 units long, has the temperature of its ends maintained at 0°C and at t=0 the temperature distribution f(x) along the bar is defined by f(x) = x(10-x). Solve the heat 2²u 1 ди conduction equation 22 t with c24 to determine the = temperature u of any point in the bar at time t.

5 An insulated uniform metal bar, 10 units long, has the temperature of its ends maintained at 0°C and at t=0 the temperature distribution f(x) along the bar is defined by f(x) = x(10-x). Solve the heat 2²u 1 ди conduction equation 22 t with c24 to determine the = temperature u of any point in the bar at time t.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5 An insulated uniform metal bar, 10 units long, has the temperature of its ends maintained at 0°C and at t=0 the temperature distribution f(x) along the bar is defined by f(x) = x(10-x). Solve the heat 2²u 1 ди conduction equation with c²4 to determine the ах2 c2 at temperature u of any point in the bar at time t. =
Transcribed Image Text:5 An insulated uniform metal bar, 10 units long, has the temperature of its ends maintained at 0°C and at t=0 the temperature distribution f(x) along the bar is defined by f(x) = x(10-x). Solve the heat 2²u 1 ди conduction equation with c²4 to determine the ах2 c2 at temperature u of any point in the bar at time t. =
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