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The temperature distribution U(x,t) in...

The temperature distribution U(x,t) in a 2-m long brass rod is governed by the problem

a^2Uxx = Ut (0<x<2 0<t0)U(x,0) = 50x (0<x<1)

100-5x (1<x<2)

where a^2=2.9*10^(-5) m^2/seca) Determine the solution for U(x,t)

b)Compute the temperature at the midpoint of the rod at the end of 1hour

c)Compute the time it will take for the temperature at that point to diminish to 5C

d)Compute the time it will take for the temperature at that point to diminish to 1C

a^2Uxx = Ut (0<x<2 0<t0)U(x,0) = 50x (0<x<1)

100-5x (1<x<2)

where a^2=2.9*10^(-5) m^2/seca) Determine the solution for U(x,t)

b)Compute the temperature at the midpoint of the rod at the end of 1hour

c)Compute the time it will take for the temperature at that point to diminish to 5C

d)Compute the time it will take for the temperature at that point to diminish to 1C

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