Question: Using cosine transform to show that the steady temperature in the semi-infinite solid y > 0 when temperature on the surface y 0 is

Using cosine transform to show that the steady temperature in the semi-infinite

Using cosine transform to show that the steady temperature in the semi-infinite solid y > 0 when temperature on the surface y 0 is kept at unity over strip |x| > a and zero outside the strip is +x tan 1 TT +tan-1 It is given that - -1sinbxdx tan"! b > 0, c> 0

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