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Determine 0(x,t).

Determine 0(x,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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Dear Sir,

 

Please can you slove this equation.

Partial differentiation or sepration of variable using fourier series.

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Given a metal bar of 1m long and of constant section (s) which is very close to zero. The temperature at the x = 0 end is maintained at 10°C and the temperature at the end x = 1 is maintained at 90 ° c. The temperature variation(0) along the bar at time t = 0 is given by 0(x,0) = 50 pour 0<x<1. Determine 0(x,t). the thermal diffusivity is 4 m?/s. Use the separation variable 9(x,t) = 80x + 10 + w(x,t).
Transcribed Image Text:Given a metal bar of 1m long and of constant section (s) which is very close to zero. The temperature at the x = 0 end is maintained at 10°C and the temperature at the end x = 1 is maintained at 90 ° c. The temperature variation(0) along the bar at time t = 0 is given by 0(x,0) = 50 pour 0<x<1. Determine 0(x,t). the thermal diffusivity is 4 m?/s. Use the separation variable 9(x,t) = 80x + 10 + w(x,t).
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