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(Solution Library) A steady state temperature function u = u(x,y) for a thin flat plate satisfies Laplace’s equation: d2u/dx2 + d2u/dy2 = 0. Determine which

Question: A steady state temperature function u = u(x,y) for a thin flat plate satisfies Laplace’s equation: d2u/dx2 + d2u/dy2 = 0. Determine which of the following functions satisfy Laplace’s equation:

U = ln (square root of (x ² +y ² )
U = square root of (x ² +y ² )
U = arctan (y+x)
U = e ^-x siny

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(Solution Library) A steady state temperature function u = u(x,y) for a thin flat plate satisfies Laplace’s equation: d2u/dx2 + d2u/dy2 = 0. Determine which

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