The heat conduction equation in two space dimensions is 2(uxx + uyy) = ut . Assuming

Chapter 10, Problem 26

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The heat conduction equation in two space dimensions is 2(uxx + uyy) = ut . Assuming that u( x, y, t) =X( x)Y ( y)T (t), find ordinary differential equations that are satisfied by X( x), Y ( y), and T (t).

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