A copper rod 50 cm long with insulated lateral surface has

Chapter , Problem 14

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A copper rod 50 cm long with insulated lateral surface has initial temperature u.x; 0/ D 2x, and at time t D 0 its two ends are insulated. (a) Find u.x; t /. (b) What will its temperature be at x D 10 after 1 min? (c) After approximately how long will its temperature at x D 10 be 45C

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