Question 6. The temperature u(x, t) of a narrow metal rod of length L by the heat equation: = 1 is modelled Ut = Solve the equation if the initial temperature u(x,0) kept at 0 degrees: = x, and the temperature at the ends is u(0, t) = u(1, t) = 0, t > 0. Hint: find Fourier sine series for the function f(x) = x in the initial condition.

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