1) Consider the steady state temperature problem DE: Tri + Tyy = 0, x>0, y> 0 BC: T(0,y) = 1, T(x,0) = 0 a) Use the mapping w = Log z to map the first quadrant onto a horizontal strip and state the new boundary conditions b) Solve the related problem and use the fact that Im Log z = arctan to solve the original problem c) Find and describe the isotherms and lines of flow 1) Consider the steady state temperature problem DE: Tri + Tyy = 0, x>0, y> 0 BC: T(0,y) = 1, T(x,0) = 0 a) Use the mapping w = Log z to map the first quadrant onto a horizontal strip and state the new boundary conditions b) Solve the related problem and use the fact that Im Log z = arctan to solve the original problem c) Find and describe the isotherms and lines of flow