4.4.22 and 4.4.23 all sections

4.4.23 Solve Laplace's equation in the 45 wedge if the boundary condition is u= 0 on both (b) Find a solution with zero boundary conditions other than u=0. 4.4.22 For the mapping w = sin z show how real points in the w-plane correspond to boundary points of a "blocked channel above the interval from z = - 1/2 to z = 1/2. Sketch the streamlines in the 2-plane that correspond to horizontal lines in the w-plane. (a) Where does F(z)=z4 map the wedge? sides y=0 and y = X. 4.4.23 Solve Laplace's equation in the 45 wedge if the boundary condition is u= 0 on both (b) Find a solution with zero boundary conditions other than u=0. 4.4.22 For the mapping w = sin z show how real points in the w-plane correspond to boundary points of a "blocked channel above the interval from z = - 1/2 to z = 1/2. Sketch the streamlines in the 2-plane that correspond to horizontal lines in the w-plane. (a) Where does F(z)=z4 map the wedge? sides y=0 and y = X