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## Main Question or Discussion Point

We look at a Laplace equation ([tex]\Delta u(x, y)=0)[/tex] ) on a square [0, 1]* [0, 1]

If we know that [tex]u|_{x = 0}[/tex]= siny , [tex]u|_{x = 1}[/tex]= cosy

[tex]u'_{y}|_{y = 0}[/tex]= 0 , [tex]u'_{y}|_{y = 1}[/tex]= 0 we differentiate here by y. proove that |u|<=1.

If we know that [tex]u|_{x = 0}[/tex]= siny , [tex]u|_{x = 1}[/tex]= cosy

[tex]u'_{y}|_{y = 0}[/tex]= 0 , [tex]u'_{y}|_{y = 1}[/tex]= 0 we differentiate here by y. proove that |u|<=1.