[lesson 1] First worked example solve u_xy = 0 and u_yx = 0 | Partial Differential Equations PDE

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This question is a bit goofy and there is not much to go off of in the book so I looked at it from many angles and made a conclusion.
[lesson 1] First worked example solve u_xy = 0 and u_yx = 0 | Partial Differential Equations PDE
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