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**Fluid Dynamics Question about streamlines...help!?**

If the velocity field, v, of a fluid depends on x and y, v(x,y) and we know there exists some function psi(x,y) such that

vx= partial w.r.t (y) of psi

vy = -(partial w.r.t (x) of psi)

show that the curves psi(x,y) = constant, are streamlines of the flow. (a streamline is a curve which is everywhere tangent to v)

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