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A rod has length 20 cm has its ends A and B kept at 30°C and 90°C
respectively, until steadystate conditions prevail. If the temperature at
each end is then suddenly reduced to 0°C and maintained so. The
temperature u(x, 0) at a distance x from A at time t = 0 is given by
Nnx
u(x,0) = > bn sin = 3x + 30, 0<x< 20.
20
n=1
Find the Euler-Fourier coefficient b,n-

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