Question

Solution of two dimension heat equation in the rectangle 0

Answer 1

Answer:

Suppose the dimensions of the plate are a×b. The plate is heated in some way, and then insulated along its top and bottom. u(x,y,t) =temperature of plate at position (x,y) and time t. For a fixed t, the height of the surface z = u(x,y,t) gives the temperature of the plate at time t and position (x,y).

Answer 2

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