A steady state temperature function u = u(x,y) for a thin flat plate satisfies Laplace’s equation: d


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:

a. U = ln (square root of (x2 +y2)

b. U = square root of (x2+y2)

c. U = arctan (y+x)

d. U = e-xsiny

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Solution: The answer consists of 4 pages
Solution Format: Word Document

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