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Find the steady state temperature distribution in a thin sheet of metal plate which occupies the semi-infinite strip, 0x

Find the steady state temperature distribution in a thin sheet of metal plate which occupies the semi-infinite strip, ≤ 0≤x<∞ and 0≤y≤l when the edge x=0 is kept at temperature u(0,y)=g(y),0≤y≤l while the edges y=0 and y=l are kept at zero temperature.

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