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Problem 3 (a) Show that a constant value in the stream function Ψ between the two...

Problem 3
(a) Show that a constant value in the stream function Ψ between the two points P(x, y) and Q(x + dx, y + dy) is a
streamline.
(b) Sketch the vector field v(x, y) = h2xy, x2 − y2i. Find the stream function for the vector field and the equation of the line that passes through (x, y) = (2, 2). Draw the resulting streamline on your vector plot.


for question b), the v(x,y) is (2xy,x^2-y2)
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