Determine by using separation ofvariables the solution u = (x, t) to the heat conduction problem ux = u; 0 < x < 20, t > 0, that satisfies the given set of boundary conditions and initial temperature: u(0, t) = 100 u(20, t) = 0 u(x, 0) s100; 0 < x < 10 l 0; 10 < x < 20 Detail it as much as you can.

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