Answer: A 6-cm by 5-cm rectangular silver plate has heat being uniformly generated at

Chapter 12, Problem 8

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A 6-cm by 5-cm rectangular silver plate has heat being uniformly generated at each point at the rate q = 1.5 cal/cm3 s. Let x represent the distance along the edge of the plate of length 6 cm and y be the distance along the edge of the plate of length 5 cm. Suppose the temperature u along the edges is kept at the following temperatures: u(x, 0) = x(6 x), u(x, 5) = 0, 0 x 6, u(0, y) = y(5 y), u(6, y) = 0, 0 y 5,

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