Evaluate the stream function for a flow with the following velocity components. [begin{aligned}& v_{x}=2 x+e^{x} cos (y)
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Evaluate the stream function for a flow with the following velocity components.
\[\begin{aligned}& v_{x}=2 x+e^{x} \cos (y) \\& v_{y}=-3 x^{2}-2 y-e^{x} \sin (y)\end{aligned}\]
Find the stream function if the velocity components are inverted. What are the requirements for a stream function to exist?
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