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Consider an isolated room divided into two parts by a screen

Math

Consider an isolated room divided into two parts by a screen. The transferred heat from one part to another depends on the diffusion constant through the screen, k = 0.5. Introduce also a heater on the left part with source h = 2oC rise per hour. If initially the temperatures on each part of the room are of 13oC on the left part and of 21oC on the right part, when do the temperatures of the two zones coincide

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