The heat conduction equation in two space dimensions is2(uxx + uyy) = ut.Assuming that u(x, y, t) = X(x)Y(y)T(t), find ordinary differential equations that aresatisfied by X(x), Y(y), and T(t).
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Elementary Differential Equations and Boundary Value Problems | 10th Edition
The heat conduction equation in two space dimensions is2(uxx + uyy) = ut.Assuming that u(x, y, t) = X(x)Y(y)T(t), find ordinary differential equations that aresatisfied by X(x), Y(y), and T(t).
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The heat conduction equation in two space dimensions