Chapter 14.4, Problem 52E

Stream function Recall that if the vector field F = (f, g) is source free (zero divergence), then a stream function ψ exists such that f = ψ_y and g = –ψ_x.

a.    Verify that the given vector field has zero divergence.

b.    Integrate the relations f = ψ_y and g = ψ_x to find a stream function for the field.

52.    F = (x², –2xy)