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The Ends of a Rod 40 Cm in Length Are

Question 38

Multiple Choice

The ends of a rod 40 cm in length are connected to reservoirs that maintain the temperature at 12°C at x = 0 and 14°C at x = 40. The initial boundary value problem governing how heat conducts through the rod is as follows:
The ends of a rod 40 cm in length are connected to reservoirs that maintain the temperature at 12°C at x = 0 and 14°C at x = 40. The initial boundary value problem governing how heat conducts through the rod is as follows:   What is the solution u(x, t)  of the initial boundary value problem? A)  u(x, t)  = v(x)  * w(x, t)  B)  u(x, t)  = v(x)  + w(x, t)  + C, where C is an arbitrary real constant. C)  u(x, t)  = v(x)  + w(x, t)  D)  u(x, t)  = w(x, t)  - v(x)
What is the solution u(x, t) of the initial boundary value problem?


A) u(x, t) = v(x) * w(x, t)
B) u(x, t) = v(x) + w(x, t) + C, where C is an arbitrary real constant.
C) u(x, t) = v(x) + w(x, t)
D) u(x, t) = w(x, t) - v(x)

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