Determine the steady state temperature distribution in the semi-infinite metal plate shown in figure. The temperature of the two horizontal borders is kept as zero while the left boundary is
200\deg C
. Use Separation of Variables Method,
T(x,y)=x(x)Y(y)
, to solve the problem. Start with the
Y(y)
part and remember that the temperature of the plate should have a finite value even at
x->\infty
. (
50pts