## Question

###### Show that the function satisfies the two-dimensional Laplace's equation $u_{x x}+u_{y y}=0 .$ $$ u=e^{-x} \cos y+e^{-y} \cos x $$

Show that the function satisfies the two-dimensional Laplace's equation $u_{x x}+u_{y y}=0 .$ $$ u=e^{-x} \cos y+e^{-y} \cos x $$

## Answers

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