The components of velocity of an inviscid incompressible fluid in the x and y directions are u

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The components of velocity of an inviscid incompressible fluid in the x and y directions are u and v respectively, where

U = x - y (.x + y) and V = 2xy (x+ y)

Find the stream function Ψ(x, y) such that

d = vdx - udy and verify that it satisfies Laplace's equation   dra  + = 0

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