1. The problem statement, all variables and given/known data The velocity components in a steady, incompressible, 2-D flow field are u = 2y v = 4x Find the corresponding stream function. 2. Relevant equations u = ∂Ψ/∂y v = -∂Ψ/∂x 3. The attempt at a solution I can verify that a stream function exists for this problem because conservation of mass is satisfied. (∂u/∂x + ∂v/∂y = 0) After plugging in my values for u and v, I get that Ψ = y2 + f(x) and Ψ = -2x2 + f(y). I then equate the 2 equations to give me f(x) + y2 = -2x2 + f(y). I then set f(y) to 0, to give me that f(x) = -2x2 - y2. I then put f(x) back into my original Ψ equation to give me that Ψ = -2x2 and this is the function that I get for my stream function. However, my book is telling me that Ψ = -2x2 + y2 should be my stream function. Am I doing something wrong? Thanks in advance.