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Math · Calculus
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(1 point) Consider the partial differential equation for heat in a one-dimensional rod with temperature u(x, t): Assume initial condition: u(x, 0) x-3 and boundary conditions: (0) (a) Determine the steady state temperature distribution: u(x) (b) Find the full time dependent solution using Fourier series with trigonometric functions chosen appropriately for the boundary conditions. cos(anx) X 1 e sin(anx) an e where an

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